ON PLANAR PIECEWISE AND TWO-TORUS PARABOLIC MAPS

DOI10.1142/S0218127409024153zbMath1176.37017DBLPjournals/ijbc/AshwinFL09OpenAlexW2019119782WikidataQ61951249 ScholiaQ61951249MaRDI QIDQ3649644

Congping Lin, Peter Ashwin, Xin-Chu Fu

Publication date: 4 December 2009

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

Full work available at URL: https://doi.org/10.1142/s0218127409024153

zbMATH Keywords

global attractorpiecewise linear mapparabolic map

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Low-dimensional dynamical systems (37E99)

Related Items (3)

On the geometry and regularity of invariant sets of piecewise-affine automorphisms on the Euclidean space ⋮ Limit cycles of piecewise smooth differential equations on two dimensional torus ⋮ The chaotic behaviour of piecewise smooth differential equations on two-dimensional torus and sphere

Cites Work

• On the geometry of orientation-preserving planar piecewise isometries
• Linear parabolic maps on the torus
• Ergodic dynamics in sigma-delta quantization: tiling invariant sets and spectral analysis of error
• Piecewise contractions are asymptotically periodic
• Global attraction in the sigma–delta modulator piecewise isometry
• Invariant sets for discontinuous parabolic area-preserving torus maps

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