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Time-Dependent Attractor for the Oscillon Equation
Time-Dependent Attractor Oscillon Equation
2010/12/6
We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Oscillon equation @ttu(x, t) + H@tu(x, t) − e−2Ht@xxu(x, t) + V ′(u(x, t)) = 0, x ∈ (0, 1), t...
In this paper, the existence of a global periodic attractor for a third-order phase-lockedloop with tangential phase detector characteristic and frequency modulation input is provedunder some conditio...
Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
Regularity of Global attractor
2007/12/11
In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution op...
GLOBAL ATTRACTOR AND ITS DIMENSION ESTIMATES FOR THE GENERALIZED DISSIPATIVE KdV EQUATION ON R
Global attractor Hausdorff
2007/12/10
In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its Hausdorff and fractal dimensions.
GLOBAL ATTRACTOR FOR THE NONLINEAR STRAIN WAVES IN ELASTIC WAVEGUIDES
Nonlinear strain waves attrac
2007/12/10
In this paper the authors consider the initial boundary value problems of the generalized nonlinear strain waves in elastic waveguides and prove the existence of global attractors and the finiteness o...