Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

Ying-Cheng Lai; Celso Grebogi

doi:10.1140/epjst/e2017-70062-0

Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

Ying-Cheng Lai, Celso Grebogi

Arizona State University

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

11 Downloads (Pure)

Abstract

It has been known that noise can suppress multistability by dynamically connecting coexisting attractors in the system which are otherwise in separate basins of attraction. The purpose of this mini-review is to argue that quasiperiodic driving can play a similar role in suppressing multistability. A concrete physical example is provided where quasiperiodic driving was demonstrated to eliminate multistability completely to generate robust chaos in a semiconductor superlattice system.

Original language	English
Pages (from-to)	1703-1719
Number of pages	17
Journal	The European Physical Journal. Special Topics
Volume	226
Issue number	9
Early online date	24 May 2017
DOIs	https://doi.org/10.1140/epjst/e2017-70062-0
Publication status	Published - Jun 2017

Bibliographical note

YCL would like to acknowledge support from the Vannevar Bush Faculty Fellowship
program sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering and funded by the Office of Naval Research through Grant No. N00014-16-1-2828. This work was also supported by ONR through Grant No. N00014-15-1-2405.

Access to Document

10.1140/epjst/e2017-70062-0Licence: Unspecified

Quasiperiodicity and Suppression of mulstistability
The final publication is available at Springer via http://dx.doi.org/10.1140/epjst/e2017-70062-0
Accepted author manuscript, 2.46 MBLicence: Unspecified

Cite this

@article{0fee303197da459a94dd3e34c95b2208,

title = "Quasiperiodicity and suppression of multistability in nonlinear dynamical systems",

abstract = "It has been known that noise can suppress multistability by dynamically connecting coexisting attractors in the system which are otherwise in separate basins of attraction. The purpose of this mini-review is to argue that quasiperiodic driving can play a similar role in suppressing multistability. A concrete physical example is provided where quasiperiodic driving was demonstrated to eliminate multistability completely to generate robust chaos in a semiconductor superlattice system.",

author = "Ying-Cheng Lai and Celso Grebogi",

note = "YCL would like to acknowledge support from the Vannevar Bush Faculty Fellowship program sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering and funded by the Office of Naval Research through Grant No. N00014-16-1-2828. This work was also supported by ONR through Grant No. N00014-15-1-2405. ",

year = "2017",

month = jun,

doi = "10.1140/epjst/e2017-70062-0",

language = "English",

volume = "226",

pages = "1703--1719",

journal = "The European Physical Journal. Special Topics",

issn = "1951-6355",

publisher = "SPRINGER HEIDELBERG",

number = "9",

}

TY - JOUR

T1 - Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

AU - Lai, Ying-Cheng

AU - Grebogi, Celso

N1 - YCL would like to acknowledge support from the Vannevar Bush Faculty Fellowship program sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering and funded by the Office of Naval Research through Grant No. N00014-16-1-2828. This work was also supported by ONR through Grant No. N00014-15-1-2405.

PY - 2017/6

Y1 - 2017/6

N2 - It has been known that noise can suppress multistability by dynamically connecting coexisting attractors in the system which are otherwise in separate basins of attraction. The purpose of this mini-review is to argue that quasiperiodic driving can play a similar role in suppressing multistability. A concrete physical example is provided where quasiperiodic driving was demonstrated to eliminate multistability completely to generate robust chaos in a semiconductor superlattice system.

AB - It has been known that noise can suppress multistability by dynamically connecting coexisting attractors in the system which are otherwise in separate basins of attraction. The purpose of this mini-review is to argue that quasiperiodic driving can play a similar role in suppressing multistability. A concrete physical example is provided where quasiperiodic driving was demonstrated to eliminate multistability completely to generate robust chaos in a semiconductor superlattice system.

U2 - 10.1140/epjst/e2017-70062-0

DO - 10.1140/epjst/e2017-70062-0

M3 - Article

SN - 1951-6355

VL - 226

SP - 1703

EP - 1719

JO - The European Physical Journal. Special Topics

JF - The European Physical Journal. Special Topics

IS - 9

ER -

Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

Abstract

Bibliographical note

Access to Document

Fingerprint

Cite this