Lyapunov exponents for the Miles' spherical pendulum equations

DOI10.1016/S0167-2789(98)00263-2zbMath0955.70016MaRDI QIDQ1808250

Yanyan Li

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentsLyapunov dimensionforced spherical pendulumsurface water waves in vibrating cylinder

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability for problems in linear vibration theory (70J25)

Related Items

On the chaotic dynamics of a spherical pendulum with a harmonically vibrating suspension, A generalized perturbed pendulum., Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experiment, Nonlinear Oscillations of a Suspended Gyrostat, Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system, HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS, Computing global orbits of the forced spherical pendulum

Cites Work

• Unnamed Item
• Resonant motion of a spherical pendulum
• Determining Lyapunov exponents from a time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Breakdown to chaotic motion of a forced, damped, spherical pendulum
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Amplitude modulated and chaotic dynamics in resonant motion of strings
• Resonantly forced surface waves in a circular cylinder
• Stability of forced oscillations of a spherical pendulum