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Quasi-periodic Solutions for 2k Order Wave Equations
2k order wave equations KAM theory Quasi-periodic solutions Partial Birkhoff normal form
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2011/10/18
In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for ...
Modified projective synchronization of fractional-order chaotic systems with different dimensions
Modified projective synchronization Fractional-order chaotic systems Laplace transformation
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2011/10/18
In this letter, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are ...
Existence of a Lorenz renormalization fixed point of an arbitrary critical order
Lorenz renormalization fixed point arbitrary critical order Dynamical Systems
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2011/9/19
Abstract: We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of arbitrary o...
Sharkovskii order for non-wandering points
Sharkovskii order transfer principles Dynamical Systems
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2011/9/15
Abstract: For a map $f:I \rightarrow I$, a point $x \in I$ is periodic with period $p \in \mathbb{N}$ if $f^p(x)=x$ and $f^j(x)\not=x$ for all $0erval, a...