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A symmetric pair of hyperchaotic attractors
Author(s) -
Li Chunbiao,
Akgul Akif,
Sprott Julien Clinton,
Iu Herbert H.C.,
Thio Wesley JooChen
Publication year - 2018
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2569
Subject(s) - attractor , polarity (international relations) , set (abstract data type) , plane (geometry) , topology (electrical circuits) , control theory (sociology) , mathematics , computer science , mathematical analysis , combinatorics , artificial intelligence , geometry , chemistry , biochemistry , control (management) , cell , programming language
Summary A symmetric pair of hyperchaotic attractors based on the 4‐D Rössler system is constructed by adjusting the polarity information of some of its variables. By introducing a plane of equilibria into this system, an attractor and a repellor can be bridged. As a result, the proposed system is revised to be time‐reversible, and one of the coexisting attractors can be extracted. Therefore, two coexisting hyperchaotic attractors can be captured separately in an electric circuit without an external circuit to set initial conditions, which has not been previously reported.