Construction and quantitative characterization of a chaotic saddle from a pendulum experiment

DOI10.1016/0960-0779(94)90041-8zbMath0813.70017OpenAlexW2093846502MaRDI QIDQ1343088

R. W. Leven, M. Selent

Publication date: 30 January 1995

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

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90041-8

zbMATH Keywords

parameter regionparametrically driven damped pendulumstroboscopic phase representation

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Fractal dimensions and \(f(\alpha)\) spectrum of chaotic sets near crises, Rotating periodic orbits of the parametrically excited pendulum, Analysis of chaotic saddles in low-dimensional dynamical systems: the derivative nonlinear Schrödinger equation, THE "NOT QUITE" INVERTED PENDULUM, Analytically bounded and numerically unbounded compound pendulum chaos, ALFVÉN CHAOTIC SADDLES

Cites Work

• Experiments on periodic and chaotic motions of a parametrically forced pendulum
• Repellers, semi-attractors, and long-lived chaotic transients
• Estimation of the \(f(\alpha)\) spectrum from simulated and measured time series
• Fractal dimensions and \(f(\alpha)\) spectrum of chaotic sets near crises
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Crises, sudden changes in chaotic attractors, and transient chaos