A symmetric pair of hyperchaotic attractors

• Published in: International journal of circuit theory and applications Vol. 46; no. 12; pp. 2434 - 2443
• Main Authors: Li, Chunbiao, Akgul, Akif, Sprott, Julien Clinton, Iu, Herbert H.C., Thio, Wesley Joo‐Chen
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.12.2018
• Subjects: Chaos theory; Circuits; hyperchaotic attractor; hyperchaotic repellor; Initial conditions; Polarity; Rössler system; symmetric pair of coexisting attractors
• ISSN: 0098-9886; 1097-007X
• DOI: 10.1002/cta.2569

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. A symmetric pair of hyperchaotic attractors based on the 4‐D Rössler system is constructed by adjusting the polarity information of some of its parameters and variables. By introducing a plane of equilibria into this system, an attractor and a repellor can be bridged. 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.