Results 11 to 20 of about 83,401 (261)
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem [PDF]
Physica D: Nonlinear Phenomena, 2021 For dynamical systems with a non hyperbolic equilibrium, it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows to isolate the complicated asymptotic behavior of the system close to the equilibrium point and to obtain meaningful predictions of its behavior by analyzing a reduced order ...
B. Haasdonk +3 more
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Propagating fronts and the center manifold theorem [PDF]
Communications in Mathematical Physics, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eckmann, J.-P., Wayne, C. E.
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A center-stable manifold theorem for differential equations in Banach spaces
Communications in Mathematical Physics, 1993 The author shows existence (and other properties) of stable center manifolds for the equation \(Z'(t)=Az(t)+f(z(t))\) in a Banach space \(E\) under the following assumptions: (a) \(E=F_ 1\oplus F_ 2\) (topological) with the \(F_ 1\) \(A\)-invariant, and if \(A_ 1\) is the restriction of \(A\) to \(F_ j\), \(A_ 1\) and \(-A_ 2\) generate strongly ...
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A general center manifold theorem on fields of Banach spaces
Discrete and Continuous Dynamical Systems - BA general local center manifold theorem around stationary trajectories is proved for nonlinear cocycles acting on measurable fields of Banach spaces.
Varzaneh, Mazyar Ghani +1 more
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Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay
Nonlinear Analysis, 2021 In this paper, the Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay was explored. First, the conditions of the occurrence of Hopf-zero bifurcation were obtained by analyzing the distribution of eigenvalues in ...
Rina Su, Chunrui Zhang
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A Formal Series Approach to the Center Manifold Theorem [PDF]
Foundations of Computational Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castella, François +2 more
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Complexity, 2021 In this paper, a diffusion two-phytoplankton one-zooplankton model with time delay, Beddington–DeAnglis functional response, and Holling II functional response is proposed.
Xin-You Meng, Li Xiao
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Limit Cycles of Lorenz System with Hopf Bifurcation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 We prove that near the bifurcation point unstable limit cycle arises from the Lorenz system. In the analysis, we use the method of local bifurcation theory, especially the center manifold and the normal form theorem. A computer algebra system using Maple
Azad Amen, Rizgar Salih
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Local stable manifold of Langevin differential equations with two fractional derivatives
Advances in Difference Equations, 2017 In this paper, we investigate the existence of local center stable manifolds of Langevin differential equations with two Caputo fractional derivatives in the two-dimensional case.
JinRong Wang, Shan Peng, D O’Regan
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On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case [PDF]
, 2007 We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the linear Dirac operator of reference $H=D_m+V$ has only two double eigenvalues and that degeneracies are due to a symmetry of $H$ (theorem of Kramers).
Boussaid, Nabile
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