Patterns in chaos

DOI10.1016/0960-0779(91)90057-GzbMath0738.58031OpenAlexW2057713113MaRDI QIDQ1177079

Boris V. Chirikov

Publication date: 25 June 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90057-g

zbMATH Keywords

Hamiltonian systemsdisorderchaotic patterns

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Power spectra and random walks in intermittent chaotic systems, Renormalization group theory of anomalous transport in systems with Hamiltonian chaos, Massive evaluation and analysis of Poincaré recurrences on grids of initial data: a tool to map chaotic diffusion, Renormalization invariance of a Hamiltonian system near the saddle point., Break-up of the spiral mean torus in a volume-preserving map, Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics, Fractional kinetic equation for Hamiltonian chaos, Theory of fast Arnold diffusion in many-frequency systems, Flights in a pseudo-chaotic system, Hierarchical structures in the phase space and fractional kinetics: I. Classical systems

Cites Work

• Stochastic webs
• Degeneration of turbulence in simple systems
• A renormalization approach to invariant circles in area-preserving maps
• The universal metric properties of nonlinear transformations
• Transport in Hamiltonian systems
• Dimensions and entropies of strange attractors from a fluctuating dynamics approach
• Correlation properties of dynamical chaos in Hamiltonian systems
• Boundary circles for area-preserving maps
• Nonlinear integrable equations. Recursion operators, group-theoretical and Hamiltonian structures of soliton equations
• Quantum chaos: Localization vs. ergodicity
• Break-up of the spiral mean torus in a volume-preserving map
• Regular and stochastic motion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item