Effect of parametric excitation on a bifractional-order damped system with a fractional-power nonlinearity

DOI10.1063/1.5133810zbMath1432.34016OpenAlexW3005425897WikidataQ89953319 ScholiaQ89953319MaRDI QIDQ5220487

Zhi Yan, Xian-bin Liu

Publication date: 26 March 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5133810

Mathematics Subject Classification ID

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) Fractional ordinary differential equations (34A08)

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Cites Work

• Unnamed Item
• Finite difference methods for the time fractional diffusion equation on non-uniform meshes
• Thermo-mechanical nonlinear dynamics of a buckled axially moving beam
• Active control of horseshoes chaos in a driven Rayleigh oscillator with fractional order deflection
• Nonlinear vibrations and stability of parametrically excited systems with cubic nonlinearities and internal boundary conditions: a general solution procedure
• Conjugate resonances and bifurcations in nonlinear systems under biharmonical excitation
• Effect of vertical high-frequency parametric excitation on self-excited motion in a delayed van der Pol oscillator
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime
• Nonlinear dynamics of a geometrically imperfect microbeam based on the modified couple stress theory
• Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams
• Chaotic motion of a parametrically excited microbeam
• Viscoelastic dynamics of axially FG microbeams
• Mechanics of viscoelastic functionally graded microcantilevers
• Vibrational subharmonic and superharmonic resonances
• Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system
• Controllable parametric excitation effect on linear and nonlinear vibrational resonances in the dynamics of a buckled beam
• Dynamical analysis of multilayered cantilevers
• Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams
• Analysis of a quintic system with fractional damping in the presence of vibrational resonance
• Vibrational resonance
• Vibrational Resonance in an Overdamped System with a Fractional Order Potential Nonlinearity
• Stochastic Resonance
• ON FRACTIONAL RELAXATION
• Vibration Analysis of a Shape Memory Oscillator by Harmonic Balance Method Verified Numerically
• Fractional differentiation matrices with applications
• Novel vibrational resonance in multistable systems
• An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
• Tables of Integrals of Struve Functions

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