Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps

DOI10.1142/S0218127419300416zbMath1432.37044OpenAlexW2998162463WikidataQ126464885 ScholiaQ126464885MaRDI QIDQ5211085

Laura Gardini, Wirot Tikjha

Publication date: 20 January 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127419300416

zbMATH Keywords

border collision bifurcationtwo-dimensional piecewise linear mapsubcritical center bifurcationsupercritical center bifurcation

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)

Related Items

Dynamics in the transition case invertible/non-invertible in a 2D piecewise linear map ⋮ Center Bifurcation in the Lozi Map ⋮ Lozi map embedded into the 2D border collision normal form ⋮ Bifurcation Sequences and Multistability in a Two-Dimensional Piecewise Linear Map

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