Number of items: **125**.

## 2019

Matheny, Matthew H.
and
Emenheiser, Jeffrey
and
Fon, Warren
et al.
(2019)
*Exotic states in a simple network of nanoelectromechanical oscillators.*
Science, 363
(6431).
Art. No. eaav7932.
ISSN 0036-8075.
https://resolver.caltech.edu/CaltechAUTHORS:20190307-131059551

## 2017

Fon, Warren
and
Matheny, Matthew H.
and
Li, Jarvis
et al.
(2017)
*Complex dynamical networks constructed with fully controllable nonlinear nanomechanical oscillators.*
Nano Letters, 17
(10).
pp. 5977-5983.
ISSN 1530-6984.
https://resolver.caltech.edu/CaltechAUTHORS:20170911-123703870

Villanueva, Luis Guillermo
and
Karabalin, Rassul
and
Matheny, Mathew H.
et al.
(2017)
*Nonlinear effects in NEMS — Improving frequency stability.*
In:
2017 IEEE International Ultrasonics Symposium (IUS).
IEEE
, Piscataway, NJ.
ISBN 978-1-5386-3384-7.
https://resolver.caltech.edu/CaltechAUTHORS:20180119-133708576

## 2016

Qiao, Liyan and Zheng, Zhigang and Cross, M. C.
(2016)
*Minimum-action paths for wave-number selection in nonequilibrium systems.*
Physical Review E, 93
(4).
Art. No. 042204.
ISSN 2470-0045.
https://resolver.caltech.edu/CaltechAUTHORS:20160429-145516593

## 2015

Kenig, Eyal and Cross, M. C.
(2015)
*Frequency Precision of Oscillators Based on High-Q Resonators.*
.
(Unpublished)
https://resolver.caltech.edu/CaltechAUTHORS:20190628-082547756

Cross, M. C. and Kenig, Eyal and Allen, John-Mark A.
(2015)
*Building better oscillators using nonlinear dynamics and pattern formation.*
Pramana, 84
(3).
pp. 455-471.
ISSN 0304-4289.
https://resolver.caltech.edu/CaltechAUTHORS:20150410-095602837

## 2014

Kenig, Eyal and Cross, M. C.
(2014)
*Eliminating 1/f noise in oscillators.*
Physical Review E, 89
(4).
Art. No. 042901.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20140501-094645965

Matheny, Matthew H.
and
Grau, Matt
and
Villanueva, Luis G.
et al.
(2014)
*Phase Synchronization of Two Anharmonic Nanomechanical Oscillators.*
Physical Review Letters, 112
(1).
Art. No. 014101.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:20140326-100653458

## 2013

Kenig, Eyal
and
Cross, M. C.
and
Moehlis, Jeff
et al.
(2013)
*Phase noise of oscillators with unsaturated amplifiers.*
Physical Review E, 88
(6).
Art. No. 062922.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20140124-082359452

Paul, M. R. and Clark, M. T. and Cross, M. C.
(2013)
*Coupled motion of microscale and nanoscale elastic objects in a viscous fluid.*
Physical Review E, 88
(4).
Art. No. 043012 .
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20131121-112845696

Lee, Tony E. and Cross, M. C.
(2013)
*Quantum-classical transition of correlations of two coupled cavities.*
Physical Review A, 88
(1).
Art. No. 013834 .
ISSN 1050-2947.
https://resolver.caltech.edu/CaltechAUTHORS:20130830-094602060

Allen, John-Mark A. and Cross, M. C.
(2013)
*Frequency precision of two-dimensional lattices of coupled oscillators with spiral patterns.*
Physical Review E, 87
(5).
Art. No. 052902.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20130619-111712761

Villanueva, L. G.
and
Kenig, E.
and
Karabalin, R. B.
et al.
(2013)
*Surpassing Fundamental Limits of Oscillators Using Nonlinear Resonators.*
Physical Review Letters, 110
(17).
Art. No. 177208.
ISSN 0031-9007.
PMCID PMC3839326.
https://resolver.caltech.edu/CaltechAUTHORS:20130122-143413954

## 2012

Kenig, Eyal
and
Cross, M. C.
and
Villanueva, L. G.
et al.
(2012)
*Optimal operating points of oscillators using nonlinear resonators.*
Physical Review E, 86
(5).
Art. No. 056207.
ISSN 1539-3755.
PMCID PMC3839322.
https://resolver.caltech.edu/CaltechAUTHORS:20121219-133958687

Liang, Cao and Cross, Michael and Zhi-Gang, Zheng
(2012)
*Failure of the free energy relation under a non-Markovian heat bath temperature change.*
Chinese Physics B, 21
(9).
Art. No. 090501.
ISSN 1674-1056.
https://resolver.caltech.edu/CaltechAUTHORS:20121101-100531516

Kenig, Eyal
and
Cross, M. C.
and
Lifshitz, Ron
et al.
(2012)
*Passive Phase Noise Cancellation Scheme.*
Physical Review Letters, 108
(26).
Art. No. 264102.
ISSN 0031-9007.
PMCID PMC3839313.
https://resolver.caltech.edu/CaltechAUTHORS:20120723-130614236

Lee, Tony E. and Cross, M. C.
(2012)
*Spatiotemporal dynamics of quantum jumps with Rydberg atoms.*
Physical Review A, 85
(6).
Art. No. 063822.
ISSN 1050-2947.
https://resolver.caltech.edu/CaltechAUTHORS:20120720-153603430

Cross, M. C.
(2012)
*Improving the frequency precision of oscillators by synchronization.*
Physical Review E, 85
(4).
Art. No. 046214 .
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20120511-101600990

Lee, Tony E. and Cross, Michael C.
(2012)
*Pattern formation of quantum jumps with Rydberg atoms.*
California Institute of Technology
, Pasadena, CA.
(Submitted)
https://resolver.caltech.edu/CaltechAUTHORS:20120221-075323895

Li, Dong
and
Cross, M. C.
and
Zhou, Changsong
et al.
(2012)
*Quasiperiodic, periodic, and slowing-down states of coupled heteroclinic cycles.*
Physical Review E, 85
(1).
Art. No. 016215 .
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20120302-134815034

Lee, Tony E. and Häffner, H. and Cross, M. C.
(2012)
*Collective Quantum Jumps of Rydberg Atoms.*
Physical Review Letters, 108
(2).
Art. No. 023602 .
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:20120203-094212729

## 2011

Villanueva, L. Guillermo
and
Karabalin, Rassul B.
and
Matheny, Matthew H.
et al.
(2011)
*A Nanoscale Parametric Feedback Oscillator.*
Nano Letters, 11
(11).
pp. 5054-5059.
ISSN 1530-6984.
https://resolver.caltech.edu/CaltechAUTHORS:20111206-084031757

Lee, Tony E. and Häffner, H. and Cross, M. C.
(2011)
*Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms.*
Physical Review A, 84
(3).
Art. No. 031402.
ISSN 1050-2947.
https://resolver.caltech.edu/CaltechAUTHORS:20110926-112200458

Lee, Tony E. and Cross, M. C.
(2011)
*Pattern Formation with Trapped Ions.*
Physical Review Letters, 106
(14).
Art. No. 143001.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:20110422-113303070

Karabalin, R. B.
and
Lifshitz, Ron
and
Cross, M. C.
et al.
(2011)
*Signal Amplification by Sensitive Control of Bifurcation Topology.*
Physical Review Letters, 106
(9).
Art. No. 094102.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:20110317-130409894

## 2010

Lee, Tony E.
and
Tam, Heywood
and
Refael, G.
et al.
(2010)
*Vortices and the entrainment transition in the two-dimensional Kuramoto model.*
Physical Review E, 82
(3).
Art. No. 036202 .
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20100920-105131252

Chowdhury, Debanjan and Cross, M. C.
(2010)
*Synchronization of oscillators with long-range power law interactions.*
Physical Review E, 82
(1).
Art. No. 016205 .
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20100803-145013910

## 2009

Kenig, Eyal
and
Malomed, Boris A.
and
Cross, M. C.
et al.
(2009)
*Intrinsic localized modes in parametrically driven arrays of nonlinear resonators.*
Physical Review E, 80
(4).
Art. No. 046202 .
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20091124-145326627

Lee, Tony E.
and
Refael, G.
and
Cross, M. C.
et al.
(2009)
*Universality in the one-dimensional chain of phase-coupled oscillators.*
Physical Review E, 80
(4).
Art. No. 046210 .
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20091124-144207656

Kogan, Oleg
and
Rogers, Jeffrey L.
and
Cross, M. C.
et al.
(2009)
*Renormalization group approach to oscillator synchronization.*
Physical Review E, 80
(3).
Art. No. 036206.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:20091020-134924682

Zheng, Zhigang
and
Feng, Xiaoqin
and
Ao, Bin
et al.
(2009)
*Synchronization of groups of coupled oscillators with sparse connections.*
Europhysics Letters, 87
(5).
Art. No. 50006.
ISSN 0295-5075.
https://resolver.caltech.edu/CaltechAUTHORS:20091013-093452649

Karabalin, R. B. and Cross, M. C. and Roukes, M. L.
(2009)
*Nonlinear dynamics and chaos in two coupled nanomechanical resonators.*
Physical Review B, 79
(16).
p. 165309.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:20090818-082507633

Kenig, Eyal and Lifshitz, Ron and Cross, M. C.
(2009)
*Pattern selection in parametrically driven arrays of nonlinear resonators.*
Physical Review E, 79
(2).
Art No. 026203.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:KENpre09

## 2007

Carmon, Tal and Cross, M. C. and Vahala, Kerry J.
(2007)
*Chaotic Quivering of Micron-Scaled On-Chip Resonators Excited by Centrifugal Optical Pressure.*
Physical Review Letters, 98
(16).
Art. No. 167203.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:CARprl07a

Paul, M. R.
and
Einarsson, M. I.
and
Fischer, P. F.
et al.
(2007)
*Extensive chaos in Rayleigh-Bénard convection.*
Physical Review E, 75
(4).
Art. No. 045203(R).
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:PAUpre07a

Arlett, J. L.
and
Paul, M. R.
and
Solomon, J. E.
et al.
(2007)
*BioNEMS: Nanomechanical systems for single-molecule biophysics.*
In:
Controlled nanoscale motion Nobel Symposium 131.
Lecture Notes in Physics .
No.711.
Berlin
, New York, pp. 241-270.
ISBN 978-3-540-49521-5.
https://resolver.caltech.edu/CaltechAUTHORS:20100819-131952947

## 2006

Scheel, J. D. and Cross, M. C.
(2006)
*Lyapunov exponents for small aspect ratio Rayleigh-Bénard convection.*
Physical Review E, 74
(6).
Art. No. 066301.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:SCHEpre06

Zheng, Zhi-gang
and
Feng, Xiao-qin
and
Ao, Bin
et al.
(2006)
*Synchronization on coupled dynamical networks.*
Frontiers of Physics in China, 1
(4).
pp. 458-467.
ISSN 1673-3487.
https://resolver.caltech.edu/CaltechAUTHORS:20191009-154950074

Carmon, Tal and Cross, Michael C. and Vahala, Kerry J.
(2006)
*Opto-Mechanical Chaotic Behaviour of Micron-Scaled On-Chip Resonators.*
In:
IEEE/LEOS International Conference on Optical MEMS and Their Applications Conference, 2006 (OMEMS '06).
IEEE
, Piscataway, NJ, pp. 56-57.
ISBN 0-7803-9562-X.
https://resolver.caltech.edu/CaltechAUTHORS:CARomems06a

Paul, M. R. and Clark, M. T. and Cross, M. C.
(2006)
*The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation.*
Nanotechnology, 17
(17).
pp. 4502-4513.
ISSN 0957-4484.
https://resolver.caltech.edu/CaltechAUTHORS:PAUnano06

Urban, R.
and
Putilin, A.
and
Wigen, P. E.
et al.
(2006)
*Perturbation of magnetostatic modes observed by ferromagnetic resonance force microscopy.*
Physical Review B, 73
(21).
Art. No. 212410.
ISSN 1098-0121.
https://resolver.caltech.edu/CaltechAUTHORS:URBprb06

Becker, Nathan
and
Scheel, J. D.
and
Cross, M. C.
et al.
(2006)
*Effect of the centrifugal force on domain chaos in Rayleigh-Bénard convection.*
Physical Review E, 73
(6).
Art. No. 066309.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:BECpre06

Cross, M. C.
and
Rogers, J. L.
and
Lifshitz, Ron
et al.
(2006)
*Synchronization by reactive coupling and nonlinear frequency pulling.*
Physical Review E, 73
(3).
Art. No. 036205.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:CROpre06

Bromberg, Yaron and Cross, M. C. and Lifshitz, Ron
(2006)
*Response of discrete nonlinear systems with many degrees of freedom.*
Physical Review E, 73
(1).
Art. No. 016214.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:BROpre06

## 2005

Scheel, J. D. and Cross, M. C.
(2005)
*Scaling laws for rotating Rayleigh-Bénard convection.*
Physical Review E, 72
(5).
Art. No. 056315.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:SCHEpre05

Chiam, K.-H.
and
Cross, M. C.
and
Greenside, H. S.
et al.
(2005)
*Enhanced tracer transport by the spiral defect chaos state of a convecting fluid.*
Physical Review E, 71
(3).
Art. No. 036205.
ISSN 1539-3755.
https://resolver.caltech.edu/CaltechAUTHORS:CHIpre05

## 2004

Cross, M. C.
and
Zumdieck, A.
and
Lifshitz, Ron
et al.
(2004)
*Synchronization by Nonlinear Frequency Pulling.*
Physical Review Letters, 93
(22).
Art. No. 224101.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:CROprl04

Santamore, D. H. and Doherty, A. C. and Cross, M. C.
(2004)
*Quantum nondemolition measurement of Fock states of mesoscopic mechanical oscillators.*
Physical Review B, 70
(14).
Art. No. 144301.
ISSN 1098-0121.
https://resolver.caltech.edu/CaltechAUTHORS:SANprb04

Paul, M. R. and Cross, M. C.
(2004)
*Stochastic dynamics of nanoscale mechanical oscillators immersed in a viscous fluid.*
Physical Review Letters, 92
(23).
Art. No. 235501.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:PAUprl04a

## 2003

Scheel, J. D.
and
Paul, M. R.
and
Cross, M. C.
et al.
(2003)
*Traveling waves in rotating Rayleigh-Bénard convection: Analysis of modes and mean flow.*
Physical Review E, 68
(6).
Art. No. 066216.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:SCHEpre03

Chiam, K.-H.
and
Paul, M. R.
and
Cross, M. C.
et al.
(2003)
*Mean flow and spiral defect chaos in Rayleigh-Bénard convection.*
Physical Review E, 67
(5).
Art. No. 056206.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:CHIpre03

Lifshitz, Ron and Cross, M. C.
(2003)
*Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays.*
Physical Review B, 67
(13).
Art. No. 134302.
ISSN 1098-0121.
https://resolver.caltech.edu/CaltechAUTHORS:LIFprb03

## 2002

Zheng, Zhigang and Cross, M. C. and Hu, Gang
(2002)
*Collective directed transport of symmetrically coupled lattices in symmetric periodic potentials.*
Physical Review Letters, 89
(15).
Art. No. 154102.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:ZHEprl02

Santamore, D. H. and Cross, M. C.
(2002)
*Surface scattering analysis of phonon transport in the quantum limit using an elastic model.*
Physical Review B, 66
(14).
Art. No. 144302.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:SANprb02

Paul, M. R. and Cross, M. C. and Fischer, P. F.
(2002)
*Rayleigh-Bénard convection with a radial ramp in plate separation.*
Physical Review E, 66
(4).
Art. No. 046210.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:PAUpre02

Zheng, Zhigang and Wang, Xingang and Cross, Michael C.
(2002)
*Transitions from partial to complete generalized synchronizations in bidirectionally coupled chaotic oscillators.*
Physical Review E, 65
(6).
Art. No. 056211.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:ZHEpre02

## 2001

Puri, Sanjay and Das, Subir K. and Cross, M. C.
(2001)
*Nonequilibrium dynamics in the complex Ginzburg-Landau equation.*
Physical Review E, 64
(5).
Art. No. 056140.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:PURpre01

Paul, M. R.
and
Cross, M. C.
and
Fischer, P. F.
et al.
(2001)
*Power-law behavior of power spectra in low Prandtl number Rayleigh-Bénard convection.*
Physical Review Letters, 87
(15).
Art. No. 154501.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:PAUprl01

Das, Subir K. and Puri, Sanjay and Cross, M. C.
(2001)
*Nonequilibrium dynamics of the complex Ginzburg-Landau equation: Analytical results.*
Physical Review E, 64
(4).
Art. No. 046206.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:DASpre01

Santamore, D. H. and Cross, M. C.
(2001)
*Effect of phonon scattering by surface roughness on the universal thermal conductance.*
Physical Review Letters, 87
(11).
Art. No. 115502.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:SANprl01

Cross, M. C. and Lifshitz, Ron
(2001)
*Elastic wave transmission at an abrupt junction in a thin plate with application to heat transport and vibrations in mesoscopic systems.*
Physical Review B, 64
(8).
Art. No. 085324.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:CROprb01

Santamore, D. H. and Cross, M. C.
(2001)
*Effect of surface roughness on the universal thermal conductance.*
Physical Review B, 63
(18).
Art. No. 184306.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:SANprb01

Cross, M. C. and Louie, M. and Meiron, D.
(2001)
*Finite size scaling of domain chaos.*
Physical Review E, 63
(4).
Art. No. 045201.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:CROpre01

## 2000

Gollub, J. P. and Cross, M. C.
(2000)
*Nonlinear dynamics: Chaos in space and time.*
Nature, 404
(6779).
p. 710.
ISSN 0028-0836.
https://resolver.caltech.edu/CaltechAUTHORS:20150330-100637705

Tang, H. X.
and
Monzon, F. G.
and
Lifshitz, Ron
et al.
(2000)
*Ballistic spin transport in a two-dimensional electron gas.*
Physical Review B, 61
(7).
pp. 4437-4440.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:TANprb00

## 1999

Setayeshgar, S. and Cross, M. C.
(1999)
*Numerical bifurcation diagram for the two-dimensional boundary-fed chlorine-dioxide–iodine–malonic-acid system.*
Physical Review E, 59
(4).
pp. 4258-4264.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:SETpre99

## 1998

Setayeshgar, S. and Cross, M. C.
(1998)
*Turing instability in a boundary-fed system.*
Physical Review E, 58
(4).
pp. 4485-4500.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:SETpre98

Angelescu, D. E. and Cross, M and Roukes, M. L.
(1998)
*Heat transport in mesoscopic systems.*
Superlattices and Microstructures, 23
(3-4).
pp. 673-689.
ISSN 0749-6036.
https://resolver.caltech.edu/CaltechAUTHORS:20190628-091042894

Grigoriev, R. O. and Cross, M. C.
(1998)
*Controlling physical systems with symmetries.*
Physical Review E, 57
(2).
pp. 1550-1554.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:GRIpre98

## 1997

Engin, D. and Cross, M. C. and Yariv, A.
(1997)
*Amplitude-equation formalism for four-wave-mixing geometry with transmission gratings.*
Journal of the Optical Society of America B, 14
(12).
pp. 3349-3362.
ISSN 0740-3224.
https://resolver.caltech.edu/CaltechAUTHORS:ENGjosab97

Grigoriev, R. O. and Cross, M. C. and Schuster, H. G.
(1997)
*Pinning control of spatiotemporal chaos.*
Physical Review Letters, 79
(15).
2795 -2798.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:GRIprl97

Chen, Peilong and Cross, M. C.
(1997)
*Complete phase diagram for coherent vortex formation in a two-dimensional inviscid fluid in an annulus.*
Physical Review E, 56
(2).
pp. 2284-2286.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:CHEpre97

Grigoriev, R. O. and Cross, M. C.
(1997)
*Dynamics of coupled maps with a conservation law.*
Chaos, 7
(2).
pp. 311-330.
ISSN 1054-1500.
https://resolver.caltech.edu/CaltechAUTHORS:GRIchaos97

## 1996

Engin, D.
and
Cross, M. C.
and
Yariv, A.
et al.
(1996)
*Transition to an oscillator for double phase-conjugate mirror.*
In:
Summaries of Papers Presented at the 1996 Quantum Electronics and Laser Science Conference.
IEEE
, Washington, D.C., pp. 118-119.
ISBN 1-55752-444-0.
https://resolver.caltech.edu/CaltechAUTHORS:20120208-070847304

Chen, Peilong and Cross, M. C.
(1996)
*Statistical two-vortex equilibrium and vortex merger.*
Physical Review E, 53
(4).
R3032-R3035.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:CHEpre96

## 1995

Schwabe, N. F.
and
Cleland, A. N.
and
Cross, M. C.
et al.
(1995)
*Perturbation of tunneling processes by mechanical degrees of freedom in mesoscopic junctions.*
Physical Review B, 52
(17).
pp. 12911-12920.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:SCHWprb95

Cross, M. C. and Meiron, D. I.
(1995)
*Domain Coarsening in Systems Far from Equilibrium.*
Physical Review Letters, 75
(11).
pp. 2152-2155.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:CROprl95b

Cross, M. C. and Tu, Yuhai
(1995)
*Defect Dynamics for Spiral Chaos in Rayleigh-Bénard Convection.*
Physical Review Letters, 75
(5).
pp. 834-837.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:CROprl95a

## 1994

Cross, M. C. and Meiron, D. and Tu, Yuhai
(1994)
*Chaotic domains: A numerical investigation.*
Chaos, 4
(4).
pp. 607-619.
ISSN 1054-1500.
https://resolver.caltech.edu/CaltechAUTHORS:CROchaos94

Chen, Peilong and Cross, M. C.
(1994)
*Phase diagram for coherent vortex formation in the two-dimensional inviscid fluid in circular geometries.*
Physical Review E, 50
(3).
pp. 2022-2029.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:CHEpre94

Chen, Yih-Yuh and Cross, M. C.
(1994)
*Pattern formation in finite size non-equilibrium systems and models of morphogenesis.*
Nonlinearity, 1994
(4).
pp. 1125-1132.
ISSN 0951-7715.
https://resolver.caltech.edu/CaltechAUTHORS:CHEnonlin94

Cross, M. C. and Hohenberg, P. C.
(1994)
*Spatiotemporal Chaos.*
Science, 263
(5153).
pp. 1569-1570.
ISSN 0036-8075.
https://resolver.caltech.edu/CaltechAUTHORS:20150123-091832757

## 1993

Cross, M. C. and Hohenberg, P. C.
(1993)
*Pattern formation outside of equilibrium.*
Reviews of Modern Physics, 65
(3).
pp. 851-1112.
ISSN 0034-6861.
https://resolver.caltech.edu/CaltechAUTHORS:CROrmp93

Kuo, E. Y. and Cross, M. C.
(1993)
*Traveling-wave wall states in rotating Rayleigh-Bénard convection.*
Physical Review E, 47
(4).
R2245-R2248.
ISSN 1063-651X.
https://resolver.caltech.edu/CaltechAUTHORS:KUOpre93

## 1992

Tu, Yuhai and Cross, M. C.
(1992)
*Chaotic domain structure in rotating convection.*
Physical Review Letters, 69
(17).
pp. 2515-2518.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:TUYprl92

Bourzutschky, M. S. and Cross, M. C.
(1992)
*Reflection of traveling waves near the onset of binary-fluid convection.*
Physical Review A, 45
(12).
R8317-R8320.
ISSN 1050-2947.
https://resolver.caltech.edu/CaltechAUTHORS:BOUpra92

Bourzutschky, M. S. and Cross, M. C.
(1992)
*Coupled map models for chaos in extended systems.*
Chaos, 2
(2).
pp. 173-181.
ISSN 1054-1500.
https://resolver.caltech.edu/CaltechAUTHORS:BOUchaos92

Miller, Jonathan and Weichman, Peter B. and Cross, M. C.
(1992)
*Statistical mechanics, Euler’s equation, and Jupiter’s Red Spot.*
Physical Review A, 45
(4).
pp. 2328-2359.
ISSN 1050-2947.
https://resolver.caltech.edu/CaltechAUTHORS:MILpra92

## 1989

Friedman, L. J.
and
Thomson, A. L.
and
Gould, C. M.
et al.
(1989)
*Zero-field magnetic order in the boundary layers of 3He on Grafoil.*
Physical Review Letters, 62
(14).
pp. 1635-1638.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:FRIprl89

Avron, J. E. and Cross, M. C.
(1989)
*Integer charge transport in Josephson junctions.*
Physical Review B, 39
(1).
pp. 756-758.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:AVRprb89

## 1988

Cross, M. C.
(1988)
*Structure of nonlinear traveling-wave states in finite geometries.*
Physical Review A, 38
(7).
pp. 3593-3600.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra88c

Cross, M. C. and Kim, K.
(1988)
*Existence of a codimension-2 point at the threshold of binary-fluid convection between rigid, impermeable boundaries.*
Physical Review A, 38
(1).
pp. 529-530.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra88b

Greenside, H. S. and Cross, M. C. and Coughran, W. M., Jr.
(1988)
*Mean flows and the onset of chaos in large-cell convection.*
Physical Review Letters, 60
(22).
pp. 2269-2272.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:GREprl88

Cross, M. C. and Kim, Kihong
(1988)
*Linear instability and the codimension-2 region in binary fluid convection between rigid impermeable boundaries.*
Physical Review A, 37
(10).
pp. 3909-3920.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra88a

Cross, M. C.
(1988)
*Theoretical methods in pattern formation in Physics, Chemistry and Biology.*
In:
Far from Equilibrium Phase Transitions.
Lecture Notes in Physics.
No.319.
Springer Berlin Heidelberg
, Berlin, Heidelberg, pp. 45-74.
ISBN 9783540506430.
https://resolver.caltech.edu/CaltechAUTHORS:20200930-113055493

## 1987

Osheroff, D. D. and Cross, M. C.
(1987)
*Magnetostatic modes in highly polarized solid helium-three.*
Physical Review Letters, 59
(1).
pp. 94-97.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:OSHprl87

## 1986

Friedman, L. J.
and
Ytterboe, S. N.
and
Bozler, H. M.
et al.
(1986)
*Detection of ferromagnetic domains in a two-dimensional nuclear-spin system.*
Physical Review Letters, 57
(23).
pp. 2943-2946.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:FRIprl86

Cross, M. C.
(1986)
*Traveling and Standing Waves in Binary-Fluid Convection in Finite Geometries.*
Physical Review Letters, 57
(23).
pp. 2935-2938.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:CROprl86

Cross, M. C.
(1986)
*An eight-mode lorenz model of travelling waves in binary fluid convection.*
Physics Letters A, 119
(1).
pp. 21-24.
ISSN 0375-9601.
https://resolver.caltech.edu/CaltechAUTHORS:20170811-083138197

Cross, M. C.
(1986)
*Monte Carlo calculation of quantum tunneling in the dilute instanton limit.*
Physical Review A, 34
(4).
pp. 3531-3534.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra86

Cross, M. C. and Bhatt, R. N.
(1986)
*Nearest-neighbor exchange in solid 3He.*
Physical Review B, 33
(11).
pp. 7809-7810.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:CROprb86

## 1985

Greenside, H. S. and Cross, M. C.
(1985)
*Stability analysis of two-dimensional models of three-dimensional convection.*
Physical Review A, 31
(4).
pp. 2492-2501.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:GREpra85

## 1984

Fisher, D. S. and Coppersmith, S. N. and Cross, M. C.
(1984)
*Comment on "Dynamics of Charge-Density Waves Pinned by Impurities".*
Physical Review Letters, 52
(6).
p. 481.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:FISprl84

Cross, M. C.
(1984)
*Wave-number selection by soft boundaries near threshold.*
Physical Review A, 29
(1).
pp. 391-392.
ISSN 1050-2947.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra84

## 1983

Brand, H. and Cross, M. C.
(1983)
*Phase dynamics for the wavy vortex state of the Taylor instability.*
Physical Review A, 27
(2).
pp. 1237-1239.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:BRApra83

Cross, M. C.
(1983)
*Phase dynamics of convective rolls.*
Physical Review A, 27
(1).
pp. 490-498.
ISSN 1050-2947.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra83

## 1982

Brand, H. and Cross, M. C.
(1982)
*Explanation of flow dissipation in 3He-B.*
Physical Review Letters, 49
(26).
p. 1959.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:BRAprl82

Kramer, Lorenz
and
Ben-Jacob, Eshel
and
Brand, Helmut
et al.
(1982)
*Wavelength Selection in Systems Far from Equilibrium.*
Physical Review Letters, 49
(26).
pp. 1891-1894.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:KRAprl82

Sneddon, Leigh and Cross, M. C. and Fisher, Daniel S.
(1982)
*Sliding conductivity of charge-density waves.*
Physical Review Letters, 49
(4).
pp. 292-295.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:SNEprl82

Cross, M. C.
(1982)
*Boundary conditions on the envelope function of convective rolls close to onset.*
Physics of Fluids, 25
(6).
pp. 936-941.
ISSN 0031-9171.
https://resolver.caltech.edu/CaltechAUTHORS:CROpof82

Cross, M. C.
(1982)
*Ingredients of a theory of convective textures close to onset.*
Physical Review A, 25
(2).
pp. 1065-1076.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra82

## 1980

Cross, M. C.
and
Daniels, P. G.
and
Hohenberg, P. C.
et al.
(1980)
*Effect of Distant Sidewalls on Wave-Number Selection in Rayleigh-Bénard Convection.*
Physical Review Letters, 45
(11).
pp. 898-901.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:CROprl80

Cross, M. C.
(1980)
*Derivation of the amplitude equation at the Rayleigh–Bènard instability.*
Physics of Fluids, 23
(9).
pp. 1727-1731.
ISSN 0031-9171.
https://resolver.caltech.edu/CaltechAUTHORS:CROpof80

Stamatoff, J.
and
Cladis, P. E.
and
Guillon, D.
et al.
(1980)
*X-Ray Diffraction Intensities of a Smectic-A Liquid Crystal.*
Physical Review Letters, 44
(23).
pp. 1509-1512.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:STAprl80

Osheroff, D. D. and Cross, M. C. and Fisher, D. S.
(1980)
*Nuclear Antiferromagnetic Resonance in Solid 3He.*
Physical Review Letters, 44
(12).
pp. 792-795.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:OSHprl80

## 1979

Cross, M. C.
(1979)
*Effect of magnetic fields on a spin-Peierls transition.*
Physical Review B, 20
(11).
pp. 4606-4611.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:CROprb79b

Rice, T. M. and Lee, P. A. and Cross, M. C.
(1979)
*Dynamics of charge-density waves in the presence of free carriers.*
Physical Review B, 20
(4).
pp. 1345-1352.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:RICprb79

Liu, Mario and Cross, M. C.
(1979)
*Gauge Wheel of Superfluid ^3He.*
Physical Review Letters, 43
(4).
pp. 296-299.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:LIUprl79

Stein, D. L. and Cross, M. C.
(1979)
*Phase Transitions in Two-Dimensional Superfluid 3He.*
Physical Review Letters, 42
(8).
pp. 504-507.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:STEprl79

Cross, M. C. and Fisher, Daniel S.
(1979)
*A new theory of the spin-Peierls transition with special relevance to the experiments on TTFCuBDT.*
Physical Review B, 19
(1).
pp. 402-419.
ISSN 0163-1829.
https://resolver.caltech.edu/CaltechAUTHORS:CROprb79a

## 1978

Liu, Mario and Cross, M. C.
(1978)
*Broken Spin-Orbit Symmetry in Superfluid ^3He and B-Phase Dynamics.*
Physical Review Letters, 41
(4).
pp. 250-253.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:LIUprl78

Cross, M. C. and Liu, M.
(1978)
*Stability of the aligned state of ^3He-A in a superflow.*
Journal of Physics C: Solid State Physics, 11
(9).
pp. 1795-1800.
ISSN 0022-3719.
https://resolver.caltech.edu/CaltechAUTHORS:CROjpc78

## 1977

Osheroff, D. D. and Cross, M. C.
(1977)
*Interfacial Surface Energy between the Superfluid Phases of He3.*
Physical Review Letters, 38
(16).
pp. 905-909.
ISSN 0031-9007.
https://resolver.caltech.edu/CaltechAUTHORS:OSHprl77

Cross, M. C.
(1977)
*Charge states of fast protons in solids.*
Physical Review B, 15
(2).
pp. 602-607.
ISSN 0556-2805.
https://resolver.caltech.edu/CaltechAUTHORS:CROprb77

## 1974

Cross, M. C.
(1974)
*Impulse given to a plate by a quantized vortex ring.*
Physical Review A, 10
(4).
pp. 1442-1445.
ISSN 0556-2791.
https://resolver.caltech.edu/CaltechAUTHORS:CROpra74

This list was generated on **Thu Oct 1 04:35:50 2020 PDT**.