Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation

DOI10.22124/jmm.2019.12719.1242zbMath1449.37027OpenAlexW2954999539MaRDI QIDQ5212565

V. Chinnathambi, M. V. Sethu Meenakshi, S. Valli Priyatharsini, Shanmuganathan Rajasekar

Publication date: 29 January 2020

Full work available at URL: https://jmm.guilan.ac.ir/article_3466_b6643df11026c9c69b92a381009e3107.pdf

zbMATH Keywords

Duffing oscillatorMelnikov methodfractional dampinghorseshoe chaosmulti-frequency excitation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractional ordinary differential equations (34A08)

Related Items (1)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Response of self-excited three-degree-of-freedom systems to multifrequency excitations
• Effect of fractional damping in double-well Duffing-Vander Pol oscillator driven by different sinusoidal forces
• Regular and stochastic motion
• Resonant oscillation and homoclinic bifurcation in a \(\Phi^{6}\)-van der Pol oscillator
• Resonances in nonlinear structure vibrations under multifrequency excitations
• THE EFFECT OF NONLINEAR DAMPING ON THE UNIVERSAL ESCAPE OSCILLATOR
• ANALYTICAL ESTIMATES OF THE EFFECT OF NONLINEAR DAMPING IN SOME NONLINEAR OSCILLATORS
• Parametric Resonant Control of Chaos
• Energy dissipation in a nonlinearly damped Duffing oscillator
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