Invariant Measures for the n-Dimensional Border Collision Normal Form

DOI10.1142/S0218127414501648zbMath1305.37012MaRDI QIDQ5498615

Paul Glendinning

Publication date: 10 February 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

attractorpiecewise affine systemsborder collision bifurcationpiecewise smooth systems

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (3)

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

Cites Work

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• Robust Chaos
• Lap number entropy formula for piecewise affine and projective maps in several dimensions
• ABSOLUTELY CONTINUOUS INVARIANT MEASURES FOR GENERIC MULTI-DIMENSIONAL PIECEWISE AFFINE EXPANDING MAPS

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