Effect of stochastically moving border on basins of attraction in a class of piecewise smooth maps

DOI10.1016/j.physleta.2017.05.006zbMath1378.37042OpenAlexW2612701084MaRDI QIDQ1691111

Soumitro Banerjee, Dhrubajyoti Mandal

Publication date: 15 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2017.05.006

zbMATH Keywords

basin of attractionpiecewise smooth mapborder collision normal formstochastically moving border

Mathematics Subject Classification ID

Attractors (35B41) Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
• Piecewise-smooth dynamical systems. Theory and applications
• Stochastic Regular Grazing Bifurcations
• The Border Collision Normal Form with Stochastic Switching Surface
• Theory of hybrid dynamical systems and its applications to biological and medical systems
• One-Dimensional Discontinuous Piecewise-Linear Maps and the Dynamics of Financial Markets
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• Border-collision bifurcations in the buck converter
• BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
• Border collision bifurcations in a one-dimensional piecewise smooth map for a PWM current-programmed H-bridge inverter
• Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps
• Robust Chaos

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