Dynamics in a Chain of Overdamped Pendula Driven by Constant Torques

DOI10.1137/S0036139994278755zbMath0867.34007OpenAlexW2010349835MaRDI QIDQ3125344

Wen-Xin Qin, Shu Zhu, Min Qian

Publication date: 18 March 1997

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139994278755

zbMATH Keywords

global attractorchain of overdamped pendulalimit cycle of second kind

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (8)

One-dimensional global attractor for discretization of the damped driven sine-Gordon equation ⋮ One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ Dynamical order in systems of coupled noisy oscillators ⋮ Discrete rotating waves in a ring of coupled mechanical oscillators with strong damping ⋮ Analysis of global behaviors in a classical power system ⋮ Frequency-locking of coupled oscillators driven by periodic forces and white noise ⋮ Rotation number of a system of single oscillators in definite and white noise perturbed cases ⋮ ASYMPTOTIC DYNAMICS OF A CLASS OF COUPLED OSCILLATORS DRIVEN BY WHITE NOISES

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