Chaos in Saw Map

DOI10.1142/S0218127419300052zbMath1411.37038arXiv1709.01962OpenAlexW2964290925MaRDI QIDQ4630073

Pavel Kravetc, Nikita Begun, Dmitrii I. Rachinskii

Publication date: 29 March 2019

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

Full work available at URL: https://arxiv.org/abs/1709.01962

zbMATH Keywords

chaotic attractormap of the intervalskew tent mappiecewise linear two-dimensional mapsaw map

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Hysteresis for ordinary differential equations (34C55)

Cites Work

• Structural stability of Lorenz attractors
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Non-smooth dynamical systems
• Hysteresis and phase transitions
• Piecewise-smooth dynamical systems. Theory and applications
• Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
• Dynamics of Discrete Time Systems with a Hysteresis Stop Operator
• Resonance near border-collision bifurcations in piecewise-smooth, continuous maps
• A Gallery of Bifurcation Scenarios in Piecewise Smooth 1D Maps
• Bifurcations in Nonsmooth Dynamical Systems
• Neimark–Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps
• On Devaney's Definition of Chaos
• On Intervals, Transitivity = Choas
• CYCLES OF CHAOTIC INTERVALS IN A TIME-DELAYED CHUA'S CIRCUIT
• DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS
• Bifurcation structure in the skew tent map and its application as a border collision normal form
• Border collision bifurcations in a two-dimensional piecewise smooth map from a simple switching circuit
• Robust Chaos
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