Results 21 to 30 of about 352,182 (258)

Invariant manifolds and cluster synchronization in a family of locally coupled map lattices

open access: yesDiscrete Dynamics in Nature and Society, 2000
This paper presents an analysis of the invariant manifolds for a general family of locally coupled map lattices. These manifolds define the different types of full, partial, and anti-phase chaotic synchronization that can arise in discrete dynamical ...
Vladimir belykh   +3 more
doaj   +1 more source

Invariant manifolds and collective coordinates [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2001
15 pages, 2 EPS-figures, uses psfig ...
Papenbrock, T., Seligman, T. H.
openaire   +3 more sources

Cm-smoothness of invariant fiber bundles for dynamic equations on measure chains [PDF]

open access: yes, 2004
We present a new self-contained and rigorous proof of the smoothness of invariant fiber bundles for dynamic equations on measure chains or time scales.
Stefan Siegmund   +5 more
core   +1 more source

Approximations of center manifolds for delay stochastic differential equations with additive noise

open access: yesAdvances in Nonlinear Analysis, 2023
This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the Ck{
Wu Longyu   +3 more
doaj   +1 more source

The Seiberg-Witten equations on 3-manifolds with boundary [PDF]

open access: yes, 1999
The Seiberg-Witten equations have proved to be quite powerful in studying smooth 4-manifolds since their landing in 1994. The corresponding Seiberg-Witten theory on closed 3-manifolds can either be obtained by a dimension reduction from the four ...
Yang, Qing
core   +1 more source

Discrete Mechanics and Optimal Control for Space Trajectory Design [PDF]

open access: yes, 2011
Space trajectory design is often achieved through a combination of dynamical systems theory and optimal control. The union of trajectory design techniques utilizing invariant manifolds of the planar circular restricted three-body problem and the optimal ...
Moore, Ashley
core   +1 more source

Parameter Dependence of Stable Invariant Manifolds for Delay Differential Equations under (μ,ν)-Dichotomies

open access: yesJournal of Mathematics, 2014
We obtain the existence of stable invariant manifolds for the nonlinear equation x′=L(t)xt+f(t,xt,λ) provided that the linear delay equation x′=L(t)xt admits a nonuniform (μ,ν)-dichotomy and f is a sufficiently small Lipschitz perturbation.
Lijun Pan
doaj   +1 more source

On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2012
The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
doaj   +1 more source

On Lightlike Geometry of Para-Sasakian Manifolds

open access: yesThe Scientific World Journal, 2014
We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples ...
Bilal Eftal Acet   +2 more
doaj   +1 more source

Computing one-dimensional global manifolds of Poincaré maps by continuation [PDF]

open access: yes, 2005
We present an algorithm to compute one-dimensional stable and unstable manifolds of saddle periodic orbits in a Poincaré section. The computation is set up as a boundary value problem by restricting the beginning and end points of orbit segments to the ...
England, James   +6 more
core   +1 more source

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