Border collision bifurcations and chaotic sets in a two-dimensional piecewise linear map

DOI10.1016/j.cnsns.2010.05.021zbMath1221.37093OpenAlexW2050569367MaRDI QIDQ718393

Danièle Fournier-Prunaret, Pascal Chargé, Laura Gardini

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.05.021

zbMATH Keywords

border collision bifurcationsswitched dynamical systems2D piecewise linear maptwo-dimensional chaos generator

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Border collision bifurcations in 3D piecewise smooth chaotic circuit ⋮ Bandcount adding structure and collapse of chaotic attractors in a piecewise linear bimodal map ⋮ Dynamics of Discrete Time Systems with a Hysteresis Stop Operator ⋮ BIFURCATION STRUCTURES IN A BIMODAL PIECEWISE LINEAR MAP: REGULAR DYNAMICS ⋮ The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications ⋮ Border collision bifurcations in a two-dimensional piecewise smooth map from a simple switching circuit

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