Results 11 to 20 of about 94,676 (275)
Center manifolds of coupled cell networks [PDF]
SIAM Journal on Mathematical Analysis, 2016 Dynamical systems with a network structure can display anomalous bifurcations as a generic phenomenon. As an explanation for this it has been noted that homogeneous networks can be realized as quotient networks of so-called fundamental networks.
Nijholt, Eddie, Rink, Bob, Sanders, Jan
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Centers on center manifolds in the Lü system [PDF]
Physics Letters A, 2011 We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the existence of centers on local center manifolds at equilibria of the Lü system of differential equations on R3. Our proof shows that the local center manifolds are algebraic ruled surfaces, and are unique.
Mahdi, Adam +2 more
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SIAM Journal on Mathematical Analysis, 2021 To appear in SIAM Journal on Mathematical ...
Neamţu, Alexandra, Kuehn, Christian
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Approximations of center manifolds for delay stochastic differential equations with additive noise
Advances 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
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Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity
Comptes Rendus. Mathématique, 2020 In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform ...
Li, Mengmeng +3 more
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Discrete Dynamics in Nature and Society, 2021 We present the bifurcation results for the difference equation xn+1=xn2/axn2+xn−12+f where a and f are positive numbers and the initial conditions x−1 and x0 are nonnegative numbers.
M. R. S. Kulenović +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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Center manifolds for smooth invariant manifolds [PDF]
Transactions of the American Mathematical Society, 2000 We study dynamics of flows generated by smooth vector fields in R n {\mathbb {R}}^n in the vicinity of an invariant and closed smooth manifold Y Y . By applying the Hadamard graph transform technique, we show that there exists an invariant manifold (called a center
Chow, Shui-Nee, Liu, Weishi, Yi, Yingfei
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Bautin bifurcations of a financial system
Electronic Journal of Qualitative Theory of Differential Equations, 2017 This paper is concerned with the qualitative analysis of a financial system. We focus our interest on the stability and cyclicity of the equilibria. Based on some previous results, some notes are given for a class of systems concerning focus quantities ...
Bo Sang, Bo Huang
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Particle-like ultracompact objects in Einstein-scalar-Gauss-Bonnet theories
Physics Letters B, 2020 We present a new type of ultracompact objects, featuring lightrings and echoes in the gravitational-wave spectrum. These particle-like solutions arise in Einstein-scalar-Gauss-Bonnet theories in four spacetime dimensions, representing globally regular ...
Burkhard Kleihaus +2 more
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