Antiphase synchronism in chaotic systems

L Y Cao, Y C Lai, Ying-Cheng Lai

Research output: Contribution to journalArticle

94 Citations (Scopus)

Abstract

We report our finding and analysis of a type of synchronism that occurs in chaotic systems with symmetry. Specifically, we find that the amplitudes of the dynamical variables of such a system can be synchronized with those of its replica, but that the variables can have different signs with respect to each other. This type of antiphase chaotic synchronism is observable in wide parameter regimes even for hyperchaotic systems. The mechanism of the synchronism suggests a systematic and a priori way to construct synchronizable chaotic systems, Application to nonlinear digital communication is pointed out.

Original languageEnglish
Pages (from-to)382-386
Number of pages5
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number1
DOIs
Publication statusPublished - Jul 1998

Keywords

  • spatiotemporal chaos
  • generalized synchronization
  • dynamical-systems
  • oscillators
  • communication
  • signals
  • equivalence
  • hyperchaos

Cite this

Antiphase synchronism in chaotic systems. / Cao, L Y ; Lai, Y C ; Lai, Ying-Cheng.

In: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, No. 1, 07.1998, p. 382-386.

Research output: Contribution to journalArticle

@article{cb464c02c9c8488b8bab1c37dfd6714e,
title = "Antiphase synchronism in chaotic systems",
abstract = "We report our finding and analysis of a type of synchronism that occurs in chaotic systems with symmetry. Specifically, we find that the amplitudes of the dynamical variables of such a system can be synchronized with those of its replica, but that the variables can have different signs with respect to each other. This type of antiphase chaotic synchronism is observable in wide parameter regimes even for hyperchaotic systems. The mechanism of the synchronism suggests a systematic and a priori way to construct synchronizable chaotic systems, Application to nonlinear digital communication is pointed out.",
keywords = "spatiotemporal chaos, generalized synchronization, dynamical-systems, oscillators, communication, signals, equivalence, hyperchaos",
author = "Cao, {L Y} and Lai, {Y C} and Ying-Cheng Lai",
year = "1998",
month = "7",
doi = "10.1103/PhysRevE.58.382",
language = "English",
volume = "58",
pages = "382--386",
journal = "Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Antiphase synchronism in chaotic systems

AU - Cao, L Y

AU - Lai, Y C

AU - Lai, Ying-Cheng

PY - 1998/7

Y1 - 1998/7

N2 - We report our finding and analysis of a type of synchronism that occurs in chaotic systems with symmetry. Specifically, we find that the amplitudes of the dynamical variables of such a system can be synchronized with those of its replica, but that the variables can have different signs with respect to each other. This type of antiphase chaotic synchronism is observable in wide parameter regimes even for hyperchaotic systems. The mechanism of the synchronism suggests a systematic and a priori way to construct synchronizable chaotic systems, Application to nonlinear digital communication is pointed out.

AB - We report our finding and analysis of a type of synchronism that occurs in chaotic systems with symmetry. Specifically, we find that the amplitudes of the dynamical variables of such a system can be synchronized with those of its replica, but that the variables can have different signs with respect to each other. This type of antiphase chaotic synchronism is observable in wide parameter regimes even for hyperchaotic systems. The mechanism of the synchronism suggests a systematic and a priori way to construct synchronizable chaotic systems, Application to nonlinear digital communication is pointed out.

KW - spatiotemporal chaos

KW - generalized synchronization

KW - dynamical-systems

KW - oscillators

KW - communication

KW - signals

KW - equivalence

KW - hyperchaos

U2 - 10.1103/PhysRevE.58.382

DO - 10.1103/PhysRevE.58.382

M3 - Article

VL - 58

SP - 382

EP - 386

JO - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 1

ER -