Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures

DOI10.1080/10236198.2021.1971210zbMath1484.00055OpenAlexW3196665537MaRDI QIDQ5163960

Davide Radi

Publication date: 9 November 2021

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

Full work available at URL: https://doi.org/10.1080/10236198.2021.1971210

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) External book reviews (00A17) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Piecewise-smooth dynamical systems. Theory and applications
• The classification of topologically expansive lorenz maps
• Topological conjugation of Lorenz maps by β-transformations
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• Robust Chaos

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