Fractal basin boundaries in coupled map lattices

Ying Cheng Lai, Raimond Winslow

Research output: Contribution to journalArticle

Abstract

It has been suggested that spatiotemporal dynamical systems cannot exhibit fractal basin boundaries, as interactions among chaotic elements at different spatial sites may destroy fine scale phase-space structures. We present evidence of an extreme type of fractal basin boundary in spatiotemporal chaotic systems modeled by globally coupled, two-dimensional maps. The existence of fractal basin boundaries for these systems indicates an extreme sensitive dependence of asymptotic attractors on both initial conditions and parameters.

Original languageEnglish (US)
Pages (from-to)3470-3473
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume50
Issue number5
DOIs
StatePublished - 1994

Fingerprint

Coupled Map Lattices
Fractal
fractals
Extremes
Scale Space
dynamical systems
Chaotic System
Attractor
Phase Space
Initial conditions
Dynamical system
Interaction
interactions

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Fractal basin boundaries in coupled map lattices. / Lai, Ying Cheng; Winslow, Raimond.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 50, No. 5, 1994, p. 3470-3473.

Research output: Contribution to journalArticle

@article{23457e2ae01742449a24306841ff8815,
title = "Fractal basin boundaries in coupled map lattices",
abstract = "It has been suggested that spatiotemporal dynamical systems cannot exhibit fractal basin boundaries, as interactions among chaotic elements at different spatial sites may destroy fine scale phase-space structures. We present evidence of an extreme type of fractal basin boundary in spatiotemporal chaotic systems modeled by globally coupled, two-dimensional maps. The existence of fractal basin boundaries for these systems indicates an extreme sensitive dependence of asymptotic attractors on both initial conditions and parameters.",
author = "Lai, {Ying Cheng} and Raimond Winslow",
year = "1994",
doi = "10.1103/PhysRevE.50.3470",
language = "English (US)",
volume = "50",
pages = "3470--3473",
journal = "Physical review. E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Fractal basin boundaries in coupled map lattices

AU - Lai, Ying Cheng

AU - Winslow, Raimond

PY - 1994

Y1 - 1994

N2 - It has been suggested that spatiotemporal dynamical systems cannot exhibit fractal basin boundaries, as interactions among chaotic elements at different spatial sites may destroy fine scale phase-space structures. We present evidence of an extreme type of fractal basin boundary in spatiotemporal chaotic systems modeled by globally coupled, two-dimensional maps. The existence of fractal basin boundaries for these systems indicates an extreme sensitive dependence of asymptotic attractors on both initial conditions and parameters.

AB - It has been suggested that spatiotemporal dynamical systems cannot exhibit fractal basin boundaries, as interactions among chaotic elements at different spatial sites may destroy fine scale phase-space structures. We present evidence of an extreme type of fractal basin boundary in spatiotemporal chaotic systems modeled by globally coupled, two-dimensional maps. The existence of fractal basin boundaries for these systems indicates an extreme sensitive dependence of asymptotic attractors on both initial conditions and parameters.

UR - http://www.scopus.com/inward/record.url?scp=33846665086&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846665086&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.50.3470

DO - 10.1103/PhysRevE.50.3470

M3 - Article

AN - SCOPUS:33846665086

VL - 50

SP - 3470

EP - 3473

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 5

ER -