Bifurcation Structures in a Family of 1D Discontinuous Linear-Hyperbolic Invertible Maps

DOI10.1142/S0218127415300396zbMath1330.37039OpenAlexW2225374723MaRDI QIDQ5744101

Laura Gardini, Roya Makrooni, Iryna Sushko

Publication date: 17 February 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127415300396

zbMATH Keywords

border collision bifurcationpiecewise smooth discontinuous mapperiod incrementing bifurcation structuredegenerate flip bifurcation

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37G99) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (3)

Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes ⋮ Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: unbounded chaotic sets ⋮ Cascades of alternating smooth bifurcations and border collision bifurcations with singularity in a family of discontinuous linear-power maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Border collision bifurcations in one-dimensional linear-hyperbolic maps
• Border-collision bifurcations in a generalized piecewise linear-power map
• Border collision bifurcations in discontinuous one-dimensional linear-hyperbolic maps
• The dynamics of the NAIRU model with two switching regimes
• Nonsmooth mechanics. Models, dynamics and control.
• Piecewise-smooth dynamical systems. Theory and applications
• Dynamics of a piecewise smooth map with singularity
• Corner bifurcations in nonsmoothly forced impact oscillators
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH
• BORDER COLLISION BIFURCATIONS IN 1D PWL MAP WITH ONE DISCONTINUITY AND NEGATIVE JUMP: USE OF THE FIRST RETURN MAP
• Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: unbounded chaotic sets
• Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: divergence and bounded dynamics
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• NONSMOOTH AND SMOOTH BIFURCATIONS IN A DISCONTINUOUS PIECEWISE MAP
• DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS
• Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps

This page was built for publication: Bifurcation Structures in a Family of 1D Discontinuous Linear-Hyperbolic Invertible Maps