Local and global bifurcations in 3D piecewise smooth discontinuous maps

DOI10.1063/5.0010887zbMath1467.37049OpenAlexW3119049163MaRDI QIDQ4983665

Sayan Gupta, Soumitro Banerjee, Mahashweta Patra

Publication date: 26 April 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0010887

zbMATH Keywords

chaosperiodic orbitshyperchaosthree-dimensional discontinuous maps

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (1)

Analysis of atypical orbits in one-dimensional piecewise-linear discontinuous maps

Cites Work

• Border collision bifurcations in discontinuous one-dimensional linear-hyperbolic maps
• Shilnikov-type dynamics in three-dimensional piecewise smooth maps
• Hyperchaos in 3-D piecewise smooth maps
• Cyclicity of chaotic attractors in one-dimensional discontinuous maps
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
• PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES
• LOCAL AND GLOBAL BIFURCATIONS IN THREE-DIMENSIONAL, CONTINUOUS, PIECEWISE SMOOTH MAPS
• Multi-parametric bifurcations in a piecewise–linear discontinuous map
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• Bifurcation of Quasiperiodic Orbit in a 3D Piecewise Linear Map
• Robust chaos in 3-D piecewise linear maps
• BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
• DYNAMICS OF PIECEWISE LINEAR DISCONTINUOUS MAPS
• Multiple Attractor Bifurcation in Three-Dimensional Piecewise Linear Maps
• NONSMOOTH AND SMOOTH BIFURCATIONS IN A DISCONTINUOUS PIECEWISE MAP
• Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps
• Dynamics of a piecewise linear map with a gap

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