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Analytical solutions of nonlinear system of fractional-order van der Pol equations (Q783356)

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scientific article; zbMATH DE number 7227418

Language	Label	Description	Also known as
English	Analytical solutions of nonlinear system of fractional-order van der Pol equations	scientific article; zbMATH DE number 7227418

Statements

scholarly article

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Analytical solutions of nonlinear system of fractional-order van der Pol equations (English)

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Shankar Rao Munjam

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Rajeswari Seshadri

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Nonlinear Dynamics

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publication date

4 August 2020

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zbMATH Keywords

van der Pol equations

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periodic solutions

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fractional derivatives

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phase portrait

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s11071-018-4725-9

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Analysis of a fractional order Van der Pol-like oscillator via describing function method

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A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators

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Chaos generalized synchronization of coupled Mathieu-van der Pol and coupled Duffing-van der Pol systems using fractional order-derivative

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Oscillatory region and asymptotic solution of fractional van der Pol oscillator via residue harmonic balance technique

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A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation

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An algorithm for the numerical solution of nonlinear fractional-order van der Pol oscillator equation

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Solutions of the force-free Duffing-van der Pol oscillator equation

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Analytical solution for van der Pol-Duffing oscillators

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Homotopy Analysis Method in Nonlinear Differential Equations

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Series solutions of coupled Van der Pol equation by means of homotopy analysis method

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Initial conditions-independent limit cycles of a fractional-order van der Pol oscillator

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Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method

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Numerical solution of the fractional order Duffing-van der Pol oscillator equation by using Bernoulli wavelets collocation method

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Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system

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The analytical approximate solution of the multi-term fractionally damped Van der Pol equation

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Analysis on limit cycle of fractional-order van der Pol oscillator

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A pair of van der Pol oscillators coupled by fractional derivatives

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More details on analysis of fractional-order Van der Pol oscillator

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11071-018-4725-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:783356

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