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Titlebook: Nonlinear Dynamical Systems and Chaos; H. W. Broer,S. A. Gils,F. Takens Conference proceedings 1996 Springer Basel AG 1996 KAM theory.bifu

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On stability loss delay for a periodic trajectoryc trajectory) long before the moment of the bifurcation remain close to the unstable equilibrium (periodic trajectory) until the change of the parameter is of order one. The velocity of the parameter changing can be arbitrary small. In non-analytic systems (even in the ..case) in general there is no
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Hamiltonian Perturbation Theory for Concentrated Structures in Inhomogeneous Mediaical investigation of the error. The results are shown to be equivalent. The Fredholm-argument implies that the approximation is valid on spatial-temporal scales on which deformations are of order one, thereby justifying the physically more attractive method of consistent evolution. All results are
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Estimation of dimension and order of time series is of influence on the future; this notion of state makes sense for both deterministic and stochastic systems. This same idea of order was also studied by Savit and Green [SG, 1991]. Their approach is closer to the above mentioned considerations concerning deterministic systems. The notions of orde
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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/n/image/667409.jpg
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Nonlinear Dynamical Systems and Chaos978-3-0348-7518-9Series ISSN 1421-1750 Series E-ISSN 2374-0280
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