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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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Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
Electronic Research Archive, 2023 The existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory ...
Dong Li, Xiaxia Wu, Shuling Yan
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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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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 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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The parameterization method for center manifolds [PDF]
, 2019 In this paper, we present a generalization of the parameterization method, introduced by Cabr\'{e}, Fontich and De la Llave, to center manifolds associated to non-hyperbolic fixed points of discrete dynamical systems.
Berg, Jan Bouwe van den +2 more
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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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