Chaotic motion in forced Duffing system subject to linear and nonlinear damping

DOI10.1155/2017/3769870zbMath1426.34055OpenAlexW2585197938WikidataQ59147505 ScholiaQ59147505MaRDI QIDQ1992660

Tai-Ping Chang

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/3769870

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

Singular points in the solution trajectories of fractional order dynamical systems ⋮ Master-slave synchronization in the Duffing-van der Pol and \(\Phi^6\) Duffing oscillators ⋮ Chaotic analysis of Kelvin-Voigt viscoelastic plates under combined transverse periodic and white noise excitation: an analytic approach ⋮ Chaotic Motions in Forced Mixed Rayleigh–Liénard Oscillator with External and Parametric Periodic-Excitations ⋮ Effect of amplitude modulated signal on chaotic motions in a mixed Rayleigh-Liénard oscillator ⋮ Stability analysis of reservoir computers dynamics via Lyapunov functions

Cites Work

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• Energy dissipation in a nonlinearly damped Duffing oscillator

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