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quasi-periodic solutions

Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential

Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential

... the quasi-periodic solutions for partial differen- tial equations (PDEs), Kolmogorov–Arnold–Moser (KAM) theory has been proven to be one of the most powerful ...required quasi-periodic ...

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Quasi-periodic solutions for second order differential equation with superlinear asymmetric nonlinearities and nonlinear damping term

Quasi-periodic solutions for second order differential equation with superlinear asymmetric nonlinearities and nonlinear damping term

... investigate the existence of Aubry-Mather sets and quasi-periodic solutions for (.). This equation models the motion of a particle subject to an asymmetric restoring force (see e.g. []) and a ...

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Existence and multiplicity of weak quasi periodic solutions for second order Hamiltonian system

Existence and multiplicity of weak quasi periodic solutions for second order Hamiltonian system

... the periodic case to the quasi-periodic case, ...weak quasi-periodic solutions for the second order Hamiltonian system with a forcing ...

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Improving Wilson θ and Newmark β Methods for Quasi Periodic Solutions of Nonlinear Dynamical Systems

Improving Wilson θ and Newmark β Methods for Quasi Periodic Solutions of Nonlinear Dynamical Systems

... solve quasi-periodic solutions, even by numerical ...for quasi-periodic solutions by improving Wilson- θ and Newmark- β methods, ...accurate quasi-periodic ...

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Quasi-periodic solutions for a Schrödinger equation with a quintic nonlinear term depending on the time and space variables

Quasi-periodic solutions for a Schrödinger equation with a quintic nonlinear term depending on the time and space variables

... is quasi-periodically forced, the nonlinearity is x- dependent, and the nonlinearity is ...of quasi-periodic solutions for (1) by the KAM ...

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Quasi periodic solutions for non autonomous MKdV equation

Quasi periodic solutions for non autonomous MKdV equation

... In the 1990s, the KAM theory has been generalized to infinite dimensional Hamiltonian pertur- bation, so as to prove that there are quasi-periodic solutions for some class of PDEs. The first KAM ...

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On quasi-periodic solutions to a higher-order Emden-Fowler type differential equation

On quasi-periodic solutions to a higher-order Emden-Fowler type differential equation

... and n =  the asymptotic behavior of all oscillatory solutions is described in [–]. Some results on the existence of blow-up solutions are in [] (Ch. IV, §), [] (Ch. I, §), [, ]. Some results on ...

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Almost periodic and quasi-periodic solutions of differential equations

Almost periodic and quasi-periodic solutions of differential equations

... • iii CONTENTS STATEMENT i ACKNOWLEDGEMENTS ii CHAPTER I: Introduction l CHAPTER II: The frequency basis of almost periodic solutions of almost periodic differential equations 8 CHAPTER [r] ...

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Quasi periodic wave solutions and asymptotic behavior for an extended \((2+1)\) dimensional shallow water wave equation

Quasi periodic wave solutions and asymptotic behavior for an extended \((2+1)\) dimensional shallow water wave equation

... soliton solutions of ...knowledge, quasi-periodic wave solutions for ...wave solutions for the extended ( + )-dimensional shallow water wave equation ...the ...

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Reducibility of beam equations in higher-dimensional spaces

Reducibility of beam equations in higher-dimensional spaces

... small-amplitude quasi-periodic solutions by develop- ing the Craig-Wayne ...obtained solutions, which is useful for better understanding of the ...

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Station-keeping for quasi-periodic orbits

Station-keeping for quasi-periodic orbits

... Abstract The shallow gravity gradient in the libration point regions enables manoeuvring at low ∆v expenses, but implicates a sensitivity to small perturbations. A variety of bounded orbits can be determined around each ...

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Quasi periodic pulsations in a solar microflare

Quasi periodic pulsations in a solar microflare

... possible quasi-periodic process that can be searched for in the radio emission of micro fl ares, are small-scale microwave bursts ( SMBs ) that are frequently detected in more powerful fl ...the ...

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Existence of periodic solutions and homoclinic orbits for
third order nonlinear differential equations

Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations

... of periodic solu- tions for nonlinear second-order differential equations ...of periodic solutions for the nonlinear third-order differential equations is a difficult ...

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Asymptotically Almost Periodic Solutions of Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Asymptotically Almost Periodic Solutions of Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... almost periodic with respect to t, recurrent with respect to t), then the given by us definition coincides with the conventional definition (it follows from the results ...

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Quasi periodic pulsations in solar flares

Quasi periodic pulsations in solar flares

... The observational results presented in Chapters 4 and 5 can make a significant contribution to further coronal oscillation studies. However, the time series analysis techniques employed here and throughout the community, ...

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Manoeuvring considerations for quasi-periodic trajectories

Manoeuvring considerations for quasi-periodic trajectories

... is studied in the following. For a gateway traffic management it is important to reconfigure space- craft in such a way that they rendezvous in orbit for docking activities. In past studies, phasing ma- noeuvres are used ...

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On periodic one parameter groups of linear operators in a Banach space and applications

On periodic one parameter groups of linear operators in a Banach space and applications

... and quasi-resolvent operators to a solution of a linear differential equation P(D)x = a of the nth order with constant coefficients and to a sys- tem of linear differential equations of the first order with constant ...

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Chaotic Dynamics of an Extended Duffing Oscillator Under Periodic Excitation

Chaotic Dynamics of an Extended Duffing Oscillator Under Periodic Excitation

... observe periodic limit cycles oscillations when α is positive and different shapes of quasi-periodic state signature for negative values of α ...

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Periodic solutions of periodic generalized food limited model

Periodic solutions of periodic generalized food limited model

... of periodic solutions for population models with periodic delays; and since at present, there are only a few papers which have been published on the existence of periodic solutions of ...

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Time—periodic weak solutions

Time—periodic weak solutions

... In continuation of Brito [I], [2], where we studied existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, Zwe now search for a time-peri[r] ...

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