Existence of chaos in a piecewise smooth two-dimensional contractive map

DOI10.1016/j.physleta.2009.06.025zbMath1233.37011OpenAlexW2064958643MaRDI QIDQ665251

Biswambhar Rakshit, Soumitro Banerjee

Publication date: 5 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.06.025

zbMATH Keywords

chaosborder collision bifurcationpiecewise smooth mapglobally contractive map

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Describing high-dimensional dynamics with low-dimensional piecewise affine models: Applications to renewable energy

Cites Work

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• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• On period-adding sequences of attracting cycles in piecewise linear maps
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
• Neimark–Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps
• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS

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