Characterizing chaos in a type of fractional Duffing's equation

DOI10.3934/proc.2015.0660zbMath1354.37043OpenAlexW2323888264MaRDI QIDQ260872

F. Blanchet-Sadri, M. Dambrine

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0660

zbMATH Keywords

chaosLyapunov exponentsstrange attractorfractional Duffing's equation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)

Cites Work

• The Lyapunov dimension of strange attractors
• Chaos in the fractional order periodically forced complex Duffing's oscillators
• Chaotic dynamics of the fractionally damped Duffing equation
• Algorithms for the fractional calculus: a selection of numerical methods
• FRACTIONAL DUFFING'S EQUATION AND GEOMETRICAL RESONANCE
• VIBRATIONAL RESONANCE IN AN ASYMMETRIC DUFFING OSCILLATOR
• A Dynamical Proof of the Multiplicative Ergodic Theorem
• Ergodic theory of chaos and strange attractors
• A PANORAMIC VIEW OF SOME PERTURBED NONLINEAR WAVE EQUATIONS
• Fractional Calculus: Integral and Differential Equations of Fractional Order
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