Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: unbounded chaotic sets

DOI10.1080/10236198.2015.1045893zbMath1359.37110OpenAlexW1502256235MaRDI QIDQ3195516

Roya Makrooni, Laura Gardini, Farhad Khellat

Publication date: 20 October 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1045893

zbMATH Keywords

border collision bifurcationspiecewise smooth mapsunbounded chaotic attractorscodimension-two bifurcation points

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (8)

Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes ⋮ Cascades of alternating smooth bifurcations and border collision bifurcations with singularity in a family of discontinuous linear-power maps ⋮ Chaos in one-dimensional piecewise smooth dynamical systems ⋮ On the price dynamics of a two-dimensional financial market model with entry levels ⋮ Necessary and sufficient conditions of full chaos for expanding Baker-like maps and their use in non-expanding Lorenz maps ⋮ BCB Curves and Contact Bifurcations in Piecewise Linear Discontinuous Map Arising in a Financial Market ⋮ Bifurcation Structures in a Family of 1D Discontinuous Linear-Hyperbolic Invertible Maps ⋮ Bifurcations and Chaos for 2D Discontinuous Dynamical Model of Financial Markets

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