A Series of New Chaotic Attractors via Switched Linear Integer Order and Fractional Order Differential Equations

DOI10.1142/S021812741550008XzbMath1309.34011OpenAlexW1973059165MaRDI QIDQ5246672

Xiao-Bao Shu, Fei Xu, Ross Cressman, Xinzhi Liu

Publication date: 22 April 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741550008x

zbMATH Keywords

chaosfractional order differential equationsinteger order differential equationsswitched linear differential equations

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Fractional ordinary differential equations (34A08)

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Cites Work

• Generating 3-D multi-scroll chaotic attractors: a hysteresis series switching method
• Switching control of linear systems for generating chaos
• Chaos in the fractional order unified system and its synchronization
• Chaos in the fractional order Chen system and its control
• Generating two simultaneously chaotic attractors with a switching piecewise-linear controller
• An equation for continuous chaos
• The double scroll family
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• A NEW CHAOTIC ATTRACTOR COINED

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