Dimension estimate of the global attractor for resonant motion of a spherical pendulum

DOI10.3792/PJAA.68.302zbMath0785.58034OpenAlexW2046346667MaRDI QIDQ2366810

Isamu Ohnishi

Publication date: 20 April 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.302

zbMATH Keywords

invariant setsLyapunov exponentsHausdorff dimensionspherical pendulumKaplan-Yorke formula

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Forced motions for nonlinear problems in mechanics (70K40)

Cites Work

• Resonant motion of a spherical pendulum
• Infinite-dimensional dynamical systems in mechanics and physics
• Dimension estimate of the global attractor for forced oscillation systems
• Local and global Lyapunov exponents
• Attractors representing turbulent flows
• Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
• Stability of forced oscillations of a spherical pendulum
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