ANALYTICAL ESTIMATES OF THE EFFECT OF NONLINEAR DAMPING IN SOME NONLINEAR OSCILLATORS

DOI10.1142/S0218127400001419zbMath0999.70021MaRDI QIDQ4522220

A. F. Sanjuan, Joaquín Rams, José L. Trueba

Publication date: 12 March 2001

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Duffing oscillatornonlinear dampingcritical parameterssimple pendulumlinearly damped nonlinear oscillatorMelnikov equivalencemodified damping coefficient

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40)

Related Items (14)

On the truly nonlinear oscillator with positive and negative damping ⋮ Transition to chaos in the self-excited system with a cubic double well potential and parametric forcing ⋮ Nonlinear damped oscillators on Riemannian manifolds: fundamentals ⋮ Unnamed Item ⋮ Analytical estimates of the effect of amplitude modulated signal in nonlinearly damped Duffing-van der Pol oscillator ⋮ Nonlinear damping in a micromechanical oscillator ⋮ A generalized perturbed pendulum. ⋮ Effect of fractional damping in double-well Duffing-Vander Pol oscillator driven by different sinusoidal forces ⋮ Chaotic motion in forced Duffing system subject to linear and nonlinear damping ⋮ Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation ⋮ Energy dissipation in a nonlinearly damped Duffing oscillator ⋮ Chaotic vibration of a quarter-car model excited by the road surface profile ⋮ The damping term makes the Smale-horseshoe heteroclinic chaotic motion easier ⋮ Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation

Cites Work

• Remarks on transitions order-chaos induced by the shape of the periodic excitation in a parametric pendulum.
• APPLICATION OF GLOBAL METHODS FOR ANALYZING DYNAMICAL SYSTEMS TO SHIP ROLLING MOTION AND CAPSIZING
• THE EFFECT OF NONLINEAR DAMPING ON THE UNIVERSAL ESCAPE OSCILLATOR
• MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS
• VIBRATION OF EXTERNALLY-FORCED FROUDE PENDULUM

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