On properties of hyperchaos: Case study

Liu Zengrong; Chen Liqun; Yang Ling

doi:10.1007/bf02487934

On properties of hyperchaos: Case study

Liu Zengrong^*
, Chen Liqun
, Yang Ling

^*Corresponding author for this work

Chinese Academy of Sciences
Shanghai University

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

9 Scopus citations

Abstract

Some properties of hyperchaos are exploited by studying both uncoupled and coupled CML. In addition to usual properties of chaotic strange attractors, there are other interesting properties, such as: the number of unstable periodic points embedded in the strange attractor increases dramatically increasing and a large number of low-dimensional chaotic invariant sets are contained in the strange attractor. These properties may be useful for regarding the edge of chaos as the origin of complexity of dynamical systems.

Original language	English
Pages (from-to)	366-370
Number of pages	5
Journal	Acta Mechanica Sinica/Lixue Xuebao
Volume	15
Issue number	4
DOIs	https://doi.org/10.1007/bf02487934
State	Published - 1999
Externally published	Yes

Keywords

Hyperchaos
Pattern formation
Strange attractor
Unstable periodic point

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10.1007/bf02487934

Cite this

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abstract = "Some properties of hyperchaos are exploited by studying both uncoupled and coupled CML. In addition to usual properties of chaotic strange attractors, there are other interesting properties, such as: the number of unstable periodic points embedded in the strange attractor increases dramatically increasing and a large number of low-dimensional chaotic invariant sets are contained in the strange attractor. These properties may be useful for regarding the edge of chaos as the origin of complexity of dynamical systems.",

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AU - Zengrong, Liu

AU - Liqun, Chen

AU - Ling, Yang

PY - 1999

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N2 - Some properties of hyperchaos are exploited by studying both uncoupled and coupled CML. In addition to usual properties of chaotic strange attractors, there are other interesting properties, such as: the number of unstable periodic points embedded in the strange attractor increases dramatically increasing and a large number of low-dimensional chaotic invariant sets are contained in the strange attractor. These properties may be useful for regarding the edge of chaos as the origin of complexity of dynamical systems.

AB - Some properties of hyperchaos are exploited by studying both uncoupled and coupled CML. In addition to usual properties of chaotic strange attractors, there are other interesting properties, such as: the number of unstable periodic points embedded in the strange attractor increases dramatically increasing and a large number of low-dimensional chaotic invariant sets are contained in the strange attractor. These properties may be useful for regarding the edge of chaos as the origin of complexity of dynamical systems.

KW - Hyperchaos

KW - Pattern formation

KW - Strange attractor

KW - Unstable periodic point

UR - https://www.scopus.com/pages/publications/0033224146

U2 - 10.1007/bf02487934

DO - 10.1007/bf02487934

M3 - 文章

AN - SCOPUS:0033224146

SN - 0567-7718

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JO - Acta Mechanica Sinica/Lixue Xuebao

JF - Acta Mechanica Sinica/Lixue Xuebao

IS - 4

ER -

On properties of hyperchaos: Case study

Abstract

Keywords

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