Coexistence of multiple strange attractors governed by different initial conditions in a deterministic system

Shi Jian Cang; Zeng Qiang Chen; Zeng Hui Wang; Yan Xia Sun

doi:10.1515/IJNSNS.2010.11.9.671

Coexistence of multiple strange attractors governed by different initial conditions in a deterministic system

Shi Jian Cang, Zeng Qiang Chen, Zeng Hui Wang, Yan Xia Sun

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

Abstract

This paper presents a new four-dimension autonomous system which shows extraordinary dynamical properties . Chaotic attractor and periodic attractor or hyper-chaotic attractor and quasi-periodic attractor, which are governed by different initial conditions instead of the system parameters, can coexist in the deterministic system. These interesting phenomena are verified through numerical simulations and analyses including time series, phase portraits, Poincaré maps, bifurcation diagrams, and Lyapunov exponents.

Original language	English
Pages (from-to)	671-678
Number of pages	8
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	11
Issue number	9
DOIs	https://doi.org/10.1515/IJNSNS.2010.11.9.671
Publication status	Published - Sept 2010
Externally published	Yes

Keywords

Chaotic attractor
Coexistence
Deterministic system
Periodic attractor

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Computational Mechanics
Modeling and Simulation
Engineering (miscellaneous)
Mechanics of Materials
General Physics and Astronomy
Applied Mathematics

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10.1515/IJNSNS.2010.11.9.671

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abstract = "This paper presents a new four-dimension autonomous system which shows extraordinary dynamical properties . Chaotic attractor and periodic attractor or hyper-chaotic attractor and quasi-periodic attractor, which are governed by different initial conditions instead of the system parameters, can coexist in the deterministic system. These interesting phenomena are verified through numerical simulations and analyses including time series, phase portraits, Poincar{\'e} maps, bifurcation diagrams, and Lyapunov exponents.",

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AU - Wang, Zeng Hui

AU - Sun, Yan Xia

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AB - This paper presents a new four-dimension autonomous system which shows extraordinary dynamical properties . Chaotic attractor and periodic attractor or hyper-chaotic attractor and quasi-periodic attractor, which are governed by different initial conditions instead of the system parameters, can coexist in the deterministic system. These interesting phenomena are verified through numerical simulations and analyses including time series, phase portraits, Poincaré maps, bifurcation diagrams, and Lyapunov exponents.

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KW - Coexistence

KW - Deterministic system

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Coexistence of multiple strange attractors governed by different initial conditions in a deterministic system

Abstract

Keywords

ASJC Scopus subject areas

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