Dimensionality differences between sticky and non-sticky chaotic trajectory segments in a 3D Hamiltonian system

DOI10.1016/S0960-0779(99)00147-2zbMath0957.37066OpenAlexW2131808636MaRDI QIDQ1581731

R. Smith

Publication date: 8 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00147-2

zbMATH Keywords

correlation dimensioneffective Lyapunov numbersticky chaotic trajectory segmentstime delay reconstruction

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Orbit growth in dynamical systems (37C35) Simulation of dynamical systems (37M05) Celestial mechanics (70F15)

Related Items (3)

Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space ⋮ Characterizing weak chaos in nonintegrable Hamiltonian systems: the fundamental role of stickiness and initial conditions ⋮ Characterization of the local instability in the Hénon-Heiles Hamiltonian

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• A TEST FOR STATIONARITY: FINDING PARTS IN TIME SERIES APT FOR CORRELATION DIMENSION ESTIMATES
• Local transport coefficients for chaotic systems
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