FRACTIONAL DUFFING'S EQUATION AND GEOMETRICAL RESONANCE

DOI10.1142/S0218127413500892zbMath1270.34071WikidataQ60155377 ScholiaQ60155377MaRDI QIDQ2845305

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Publication date: 22 August 2013

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

zbMATH Keywords

fractional calculusDuffing's equationgeometrical resonance

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)

Related Items (7)

EFFECT OF FRACTIONAL DERIVATIVE PROPERTIES ON THE PERIODIC SOLUTION OF THE NONLINEAR OSCILLATIONS ⋮ Nonlinear dynamics of fractional order Duffing system ⋮ Unnamed Item ⋮ From radiation and space exploration to the fractional calculus ⋮ Fractional damping effects on the transient dynamics of the Duffing oscillator ⋮ Fate of the true-vacuum bubbles ⋮ Characterizing chaos in a type of fractional Duffing's equation

Cites Work

• The synchronization of chaotic systems
• Techniques for the control of chaos
• Chaotic dynamics of the fractionally damped Duffing equation
• Algorithms for the fractional calculus: a selection of numerical methods
• Spectral approximations to the fractional integral and derivative
• Discretized Fractional Calculus
• VIBRATIONAL RESONANCE IN AN ASYMMETRIC DUFFING OSCILLATOR
• ON ADAPTIVE SYNCHRONIZATION AND CONTROL OF NONLINEAR DYNAMICAL SYSTEMS
• CHAOS SYNCHRONIZATION OF GENERAL LUR'E SYSTEMS VIA TIME-DELAY FEEDBACK CONTROL
• A PANORAMIC VIEW OF SOME PERTURBED NONLINEAR WAVE EQUATIONS
• FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

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