The transition to chaos for a special solution of the area-preserving quadratic map

DOI10.1016/0167-2789(84)90004-6zbMath0624.58025OpenAlexW2031895287MaRDI QIDQ578688

P. R. McGarr, Ian C. Percival

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90004-6

zbMATH Keywords

continued fractionssmall divisorsarea-preserving quadratic mapchaotic boundaries

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

An iterated implicit complex map

Cites Work

• Hamiltonian maps in the complex plane
• Chaotic boundary of a hamiltonial map
• A renormalization approach to invariant circles in area-preserving maps
• Iteration of analytic functions
• Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory
• Numerical study of quadratic area-preserving mappings
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