Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map

DOI10.1007/S11071-011-9978-5zbMath1242.37035OpenAlexW2070668046WikidataQ57627281 ScholiaQ57627281MaRDI QIDQ437203

Michael Schanz, Viktor Avrutin, Soumitro Banerjee

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-9978-5

zbMATH Keywords

border collision bifurcationscrisis bifurcationsmultiple attractor bifurcationspiecewise smooth maps

Mathematics Subject Classification ID

Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (12)

Quasi-Periodicity, Chaos and Coexistence in the Time Delay Controlled Two-Cell DC–DC Buck Converter ⋮ Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map ⋮ Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map ⋮ Lozi map embedded into the 2D border collision normal form ⋮ Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems ⋮ Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors ⋮ Dangerous Bifurcations Revisited ⋮ Unnamed Item ⋮ Multiple Attractor Bifurcation in Three-Dimensional Piecewise Linear Maps ⋮ Memory effects on binary choices with impulsive agents: Bistability and a new BCB structure ⋮ Nested Closed Invariant Curves in Piecewise Smooth Maps ⋮ Multistability Regions and Related Basins of Multiattractors in Piecewise Linear Discontinuous Map from Financial Markets

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