An iterated implicit complex map

DOI10.1016/0167-2789(86)90025-4zbMath0604.58025OpenAlexW2007427113MaRDI QIDQ1083093

Shaun R. Bullett, Andrew H. Osbaldestin, Ian C. Percival

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90025-4

zbMATH Keywords

Hamiltonian systemsrotation numbertime-symmetryiterative dynamicsiterationscomplex mappingsJulia-Fatou theory

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Morse-Smale systems (37D15)

Related Items (1)

Renormalisation in implicit complex maps

Cites Work

• The transition to chaos for a special solution of the area-preserving quadratic map
• Renormalization group analysis of quasi-periodicity in analytic maps
• Chaotic boundary of a hamiltonial map
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Transport in Hamiltonian systems
• Regular and stochastic motion
• Iteration of analytic functions
• Reversible Diffeomorphisms and Flows
• Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory

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