Space–time complexity in Hamiltonian dynamics
From MaRDI portal
Publication:5706364
DOI10.1063/1.1566171zbMath1080.37581arXivnlin/0301045OpenAlexW2049057955WikidataQ73458541 ScholiaQ73458541MaRDI QIDQ5706364
George M. Zaslavsky, Valentin Afraimovich
Publication date: 7 November 2005
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0301045
Topological dynamics (37B99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Dynamical systems with hyperbolic behavior (37D99)
Related Items
Fractional kinetics: from pseudochaotic dynamics to Maxwell's demon, Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space, Paths towards synchronization: analytical treatment of completely connected networks, Some characteristics of complex behavior of orbits in dynamical systems, Chaotic jets., Complexity functions for networks: dynamical hubs and complexity clusters, Algorithmic information for interval maps with an indifferent fixed point and infinite invariant measure, Fractional dynamics, Cantorian space-time and the gauge hierarchy problem, Local complexity functions of interval exchange transformations, Hamiltonian Chaos and Anomalous Transport in Two Dimensional Flows, Computational mechanics of molecular systems: Quantifying high-dimensional dynamics by distribution of Poincaré recurrence times, Directional complexity and entropy for lift mappings
Cites Work
- Dimensions and entropies of strange attractors from a fluctuating dynamics approach
- Measuring the strangeness of strange attractors
- Complexity of sequences and dynamical systems
- Measure-theoretic complexity of ergodic systems
- Exit-times and \(\varepsilon\)-entropy for dynamical systems, stochastic processes, and turbulence
- Dynamical traps
- Chaos, fractional kinetics, and anomalous transport
- Periodic orbits, entropy, and rotation sets of continuous mappings of the circle
- Jets, stickiness, and anomalous transport
- Decay of correlations and mixing properties in a dynamical system with zero K–S entropy
- Riddling and invariance for discontinuous maps preserving Lebesgue measure
- Anomalous transport in a model of Hamiltonian round-off
- The definition and measurement of the topological entropy per unit volume in parabolic PDEs
- The Static and Dynamic Invariants that Characterize Chaos and the Relations Between Them in Theory and Experiments
- Topological complexity
- Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics
- OBSERVED ROTATION NUMBERS IN FAMILIES OF CIRCLE MAPS
- Weak mixing and anomalous kinetics along filamented surfaces
- Symbolic Dynamics
- Predictability: a way to characterize complexity