Bifurcation from stable fixed point toN-dimensional attractor in the border collision normal form

DOI10.1088/0951-7715/28/10/3457zbMath1352.37150OpenAlexW1585510467MaRDI QIDQ3196571

Paul Glendinning

Publication date: 29 October 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/10/3457

zbMATH Keywords

attractorsborder collision bifurcationpiecewise smooth systems

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (7)

The instantaneous local transition of a stable equilibrium to a chaotic attractor in piecewise-smooth systems of differential equations ⋮ Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps ⋮ Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors ⋮ Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Chaotic attractors from border-collision bifurcations: stable border fixed points and determinant-based Lyapunov exponent bounds ⋮ Grazing-Sliding Bifurcations Creating Infinitely Many Attractors

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