Bifurcation from stable fixed point to 2D attractor in the border collision normal form

DOI10.1093/imamat/hxw001zbMath1404.37058OpenAlexW2255242138MaRDI QIDQ4557210

Paul Glendinning

Publication date: 29 November 2018

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxw001

zbMATH Keywords

bifurcationinvariant measuresnormal formborder collisionpiecewise smooth dynamics

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (8)

Dynamics in the transition case invertible/non-invertible in a 2D piecewise linear map ⋮ Renormalization of the Two-Dimensional Border-Collision Normal Form ⋮ Chaos in the border-collision normal form: a computer-assisted proof using induced maps and invariant expanding cones ⋮ 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 ⋮ A constructive approach to robust chaos using invariant manifolds and expanding cones ⋮ Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps ⋮ Chaotic attractors from border-collision bifurcations: stable border fixed points and determinant-based Lyapunov exponent bounds

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