Pseudochaotic Systems and Their Fractional Kinetics

DOI10.1142/S0217979203022118zbMath1073.37035OpenAlexW1985649887MaRDI QIDQ5312172

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Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979203022118

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items

Pseudochaotic dynamics near global periodicity ⋮ Sticky orbits in a kicked-oscillator model ⋮ Bifurcations of a new fractional-order system with a one-scroll chaotic attractor

Cites Work

• Unnamed Item
• Fractional kinetic equation for Hamiltonian chaos
• Pseudointegrable systems in classical and quantum mechanics
• The growth rate for the number of singular and periodic orbits for a polygonal billiard
• Interval exchange transformations and some special flows are not mixing
• What are SRB measures, and which dynamical systems have them?
• Billiards in polygons: Survey of recent results.
• Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents
• Elliptic behaviour in the sawtooth standard map.
• Embedding dynamics for round-off errors near a periodic orbit
• Nonlinear oscillations and chaos from digital filter overflow
• Weak Chaos and Quasi-Regular Patterns
• Anomalous transport in a model of Hamiltonian round-off
• Deviation for interval exchange transformations
• Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals
• Spectral properties and anomalous transport in a polygonal billiard
• Renormalization group theory of anomalous transport in systems with Hamiltonian chaos
• From Hamiltonian chaos to Maxwell’s Demon
• Fractional kinetic equations: solutions and applications
• Weak mixing and anomalous kinetics along filamented surfaces