Multiple Attractor Bifurcation in Three-Dimensional Piecewise Linear Maps

DOI10.1142/S021812741830032XzbMath1401.37059OpenAlexW2894409829MaRDI QIDQ4691121

Mahashweta Patra

Publication date: 18 October 2018

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

Full work available at URL: https://doi.org/10.1142/s021812741830032x

zbMATH Keywords

1D and 2D stable and unstable manifolds3D piecewise smooth mapsmultiple attractor bifurcationunstable chaotic orbitunstable torus

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Invariant manifold theory for dynamical systems (37D10) Low-dimensional dynamical systems (37E99) Dynamical aspects of attractors and their bifurcations (37G35)

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Cites Work

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• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
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• Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
• LOCAL AND GLOBAL BIFURCATIONS IN THREE-DIMENSIONAL, CONTINUOUS, PIECEWISE SMOOTH MAPS
• Doubling bifurcation of a closed invariant curve in 3D maps
• BORDER COLLISION BIFURCATIONS IN THREE-DIMENSIONAL PIECEWISE SMOOTH SYSTEMS
• Bifurcation of Quasiperiodic Orbit in a 3D Piecewise Linear Map