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Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation - MaRDI portal

Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation (Q3463260)

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English	Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation	scientific article

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scholarly article

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Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation (English)

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Journal of Mathematical Physics

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publication date

12 January 2016

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.4938419

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Three-period quasi-periodic solutions in the self-excited quasi-periodic Mathieu oscillator

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Invariant tori for non conservative perturbations of integrable systems

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\(2:1\) and \(1:1\) frequency-locking in fast excited van der Pol-Mathieu-Duffing oscillator

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Global bifurcations and chaos in a Van der Pol-Duffing-Mathieu system with three-well potential oscillator

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Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems

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Existence of KAM tori in degenerate Hamiltonian systems

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Periodic and quasi-periodic solutions for the complex Ginzburg–Landau equation

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Positive quasi-periodic solutions to Lotka-Volterra system

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Periodic solution of a Mathieu-Duffing type equation

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Suppression of hysteresis in a forced Van der Pol-Duffing oscillator

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Full measure reducibility for generic one-parameter family of quasi-periodic linear systems

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On Quasi-Periodic Perturbations of Elliptic Equilibrium Points

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On the persistence of lower dimensional invariant tori under quasi-periodic perturbations

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Bursters and quasi-periodic solutions of a self-excited quasi-periodic Mathieu oscillator

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Construction of quasi-periodic solutions of delay differential equations via KAM techniques

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Quasi-periodic solutions for perturbed autonomous delay differential equations

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VIBRATION ANALYSIS OF A SELF-EXCITED SYSTEM WITH PARAMETRIC FORCING AND NONLINEAR STIFFNESS

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A Van der Pol–Mathieu equation for the dynamics of dust grain charge in dusty plasmas

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Frequency locking in a forced Mathieu--Van der Pol--Duffing system

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A lecture on the classical KAM theorem

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\(2:1:1\) resonance in the quasi-periodic Mathieu equation

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On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point

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Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation

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A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems

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Construction of quasi-periodic breathers via KAM technique

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Identifiers

zbMATH Open document ID

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10.1063/1.4938419

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3463260

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