Two-dimensional attractors in the border-collision normal form

DOI10.1088/0951-7715/24/4/001zbMath1225.37032OpenAlexW2010920083MaRDI QIDQ2996871

Chi Hong Wong, Paul Glendinning

Publication date: 4 May 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1544/1/robust2d.pdf

zbMATH Keywords

piecewise smooth dynamical systemsborder collision normal formtwo-dimensional attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (10)

Dynamics in the transition case invertible/non-invertible in a 2D piecewise linear map ⋮ Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form ⋮ Torus destruction in a nonsmooth noninvertible map ⋮ Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps ⋮ Coexistence of Two-Dimensional Attractors in Border Collision Normal Form ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps ⋮ Invariant Measures for the n-Dimensional Border Collision Normal Form ⋮ The stability of fixed points on switching manifolds of piecewise-smooth continuous maps ⋮ On the relative coexistence of fixed points and period-two solutions near border-collision bifurcations

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