A pair of van der Pol oscillators coupled by fractional derivatives

DOI10.1007/s11071-011-0266-1zbMath1258.34074OpenAlexW1986136756MaRDI QIDQ1928933

Richard H. Rand, Meghan Suchorsky

Publication date: 4 January 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0266-1

zbMATH Keywords

coupled oscillatorsfractional calculusperturbation methodsfractional derivative

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Fractional ordinary differential equations (34A08)

Related Items (11)

Numerical scheme and dynamic analysis for variable-order fractional van der Pol model of nonlinear economic cycle ⋮ Models and numerical schemes for generalized van der Pol equations ⋮ Combination of the variational iteration method and numerical algorithms for nonlinear problems ⋮ The state of fractional hereditary materials (FHM) ⋮ Non-diminishing relative error of the predictor-corrector algorithm for certain fractional differential equations ⋮ Attractivity for a \(k\)-dimensional system of fractional functional differential equations and global attractivity for a \(k\)-dimensional system of nonlinear fractional differential equations ⋮ Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators ⋮ Genetic algorithm-based identification of fractional-order systems ⋮ Coupled Van der Pol oscillator with non-integer order connection ⋮ Analytical solutions of nonlinear system of fractional-order van der Pol equations ⋮ Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative

Uses Software

• Sprott's Software

Cites Work

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