Limit cycle oscillations in a mechanical system under fractional-order Liénard type nonlinear feedback
DOI10.1016/j.cnsns.2023.107612OpenAlexW4387521298MaRDI QIDQ6144102
Shyamal Chatterjee, Prasanjit Kumar Kundu
Publication date: 5 January 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107612
bifurcationvan der Pol oscillatorRayleigh oscillatorLiénard oscillatortwo-time scale methodinteger-order modelMATLAB SIMULINK simulationsingle-degree-of-freedom spring-mass-damper
Feedback control (93B52) Experimental work for problems pertaining to mechanics of particles and systems (70-05) Bifurcations and instability for nonlinear problems in mechanics (70K50) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Control of mechanical systems (70Q05)
Cites Work
- Unnamed Item
- Analysis on limit cycle of fractional-order van der Pol oscillator
- Creation-annihilation process of limit cycles in the Rayleigh-Duffing oscillator
- Analysis of a fractional order Van der Pol-like oscillator via describing function method
- Analytical solutions of nonlinear system of fractional-order van der Pol equations
- Recent applications of fractional calculus to science and engineering
- Asymptotic limit cycle of fractional van der Pol oscillator by homotopy analysis method and memory-free principle
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- More Details on Analysis of Fractional-order Van der Pol Oscillator
- Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order
- Generating self-excited oscillations for underactuated mechanical systems via two-relay controller
- Bifurcation analysis and complex phenomena in self-excited microcantilevers
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