Vibrational resonance in Duffing systems with fractional-order damping
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Publication:2787707
DOI10.1063/1.3678788zbMath1331.34063OpenAlexW2079672007WikidataQ51391904 ScholiaQ51391904MaRDI QIDQ2787707
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Publication date: 4 March 2016
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3678788
Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonlinear resonances for nonlinear problems in mechanics (70K30) Fractional ordinary differential equations (34A08)
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Cites Work
- Fractional calculus in viscoelasticity: an experimental study
- Stochastic stability of Duffing oscillator with fractional derivative damping under combined harmonic and white noise parametric excitations
- Conjugate resonances and bifurcations in nonlinear systems under biharmonical excitation
- The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
- Fractional calculus models of complex dynamics in biological tissues
- Fractional-order systems and controls. Fundamentals and applications
- Fractional differential equations in electrochemistry
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Chaos in the fractional order periodically forced complex Duffing's oscillators
- Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control
- Chaotic dynamics of the fractionally damped Duffing equation
- Chaos in a fractional order modified Duffing system
- A general formulation and solution scheme for fractional optimal control problems
- Vibrational resonance
- Role of depth and location of minima of a double-well potential on vibrational resonance
- Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus
- Fractional Order Signal Processing of Electrochemical Noises
- Bistable oscillator driven by two periodic fields
- Novel vibrational resonance in multistable systems
