Bifurcation patterns in homogeneous area-preserving piecewise-linear maps

DOI10.1007/s12346-018-0299-7zbMath1432.37005OpenAlexW2903456461WikidataQ128898647 ScholiaQ128898647MaRDI QIDQ2274332

Luis Benadero Garcia-Morato, Enrique Ponce Nuñez, Francisco Torres Peral, Emilio Freire

Publication date: 19 September 2019

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/126108

zbMATH Keywords

bifurcationspiecewise linear mapsarea-preserving maps

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Rotation numbers and vectors (37E45)

Related Items (2)

Asymptotic Poincaré maps along the edges of polytopes ⋮ Critical curves of a piecewise linear map

Cites Work

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• On \(k\)-Fibonacci sequences and polynomials and their derivatives
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• Piecewise-smooth dynamical systems. Theory and applications
• Sufficient conditions for a period incrementing big bang bifurcation in one-dimensional maps
• Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
• Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers

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