Border collision bifurcations in discontinuous one-dimensional linear-hyperbolic maps

DOI10.1016/j.cnsns.2010.06.012zbMath1221.37086OpenAlexW2056049153MaRDI QIDQ718452

Laura Gardini, Fabio Tramontana

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.2010.06.012

zbMATH Keywords

bistabilityborder collision bifurcationdiscontinuous piecewise smooth map

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the interval (37E05) Dynamical systems with hyperbolic behavior (37D99)

Related Items (10)

Computation of the anharmonic orbits in two piecewise monotonic maps with a single discontinuity ⋮ Border collision bifurcations in 3D piecewise smooth chaotic circuit ⋮ Breaking the continuity of a piecewise linear map ⋮ Period-adding and the Farey tree structure in a class of one-dimensional discontinuous nonlinear maps ⋮ Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: unbounded chaotic sets ⋮ 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 ⋮ Bifurcation analysis of dynamic pricing processes with nonlinear external reference effects ⋮ Bifurcation Structures in a Family of 1D Discontinuous Linear-Hyperbolic Invertible Maps ⋮ Local and global bifurcations in 3D piecewise smooth discontinuous maps

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