CaltechAUTHORS
  A Caltech Library Service

Hysteresis loops and multi-stability: From periodic orbits to chaotic dynamics (and back) in diatomic granular crystals

Hoogeboom, C. and Man, Y. and Boechler, N. and Theocharis, G. and Kevrekidis, P. G. and Kevrekidis, I. G. and Daraio, C. (2013) Hysteresis loops and multi-stability: From periodic orbits to chaotic dynamics (and back) in diatomic granular crystals. Europhysics Letters, 101 (4). Art. No. 44003. ISSN 0295-5075. https://resolver.caltech.edu/CaltechAUTHORS:20130409-081751964

[img]
Preview
PDF - Published Version
See Usage Policy.

677Kb
[img] PDF - Submitted Version
See Usage Policy.

341Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20130409-081751964

Abstract

We consider a statically compressed diatomic granular crystal, consisting of alternating aluminum and steel spheres. The combination of dissipation, driving of the boundary, and intrinsic nonlinearity leads to complex dynamics. Through both numerical simulations and experiments, we find that the interplay of nonlinear surface modes with modes caused by the driver create the possibility, as the driving amplitude is increased, of limit cycle saddle-node bifurcations beyond which the dynamics of the system becomes chaotic. In this chaotic state, part of the applied energy can propagate through the chain. We also find that the chaotic branch depends weakly on the driving frequency, and speculate a connection between the chaotic dynamics with the gap openings between the spheres. Finally, we observe hysteretic dynamics and an interval of multi-stability involving stable periodic solutions and chaotic ones.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1209/0295-5075/101/44003DOIArticle
http://iopscience.iop.org/0295-5075/101/4/44003/PublisherArticle
https://arxiv.org/abs/1211.1428arXivDiscussion Paper
ORCID:
AuthorORCID
Kevrekidis, P. G.0000-0002-7714-3689
Daraio, C.0000-0001-5296-4440
Additional Information:© 2013 EPLA. Received 2 November 2012; accepted in final form 20 January 2013; published online 28 February 2013. Support from US-NSF, US-AFOSR and the A.S. Onassis Foundation is appreciated.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Alexander S. Onassis Public Benefit FoundationUNSPECIFIED
Issue or Number:4
Classification Code:PACS: 05.45.-a, 63.20.Pw, 45.70.-n
Record Number:CaltechAUTHORS:20130409-081751964
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130409-081751964
Official Citation:Hysteresis loops and multi-stability: From periodic orbits to chaotic dynamics (and back) in diatomic granular crystals C. Hoogeboom et al 2013 EPL 101 44003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37815
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 Apr 2013 15:50
Last Modified:09 Mar 2020 13:18

Repository Staff Only: item control page