Results 1 to 10 of about 4,711,203 (306)
SIAM Journal on Mathematical Analysis, 2021 To appear in SIAM Journal on Mathematical ...
Christian Kuehn, Alexandra Neamţu
exaly +3 more sources
Centers on center manifolds in the Lü system [PDF]
Physics Letters, Section A: General, Atomic and Solid State Physics, 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.
Claudio Pessôa +2 more
exaly +5 more sources
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
doaj +1 more source
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
doaj +1 more source
Radiation Reaction and Center Manifolds [PDF]
SIAM Journal on Mathematical Analysis, 2000 Summary: We study the effective dynamics of a mechanical particle coupled to a wave field and subject to the slowly varying potential \(V(\varepsilon q)\) with \(\varepsilon\) small. To lowest order in \(\varepsilon\) the motion of the particle is governed by an effective Hamiltonian.
Markus Kunze, Herbert Spohn
openaire +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
The Grassmann-like manifold of centered planes when a surface is described by the centre
Дифференциальная геометрия многообразий фигур, 2021 We continue to study of the Grassmann-like manifold of -centered planes. A special case is considered when the center describes an -dimensional surface . We will denote this manifold by . An analogue of the strong Norden normalization of the manifold
O.O. Belova
doaj +1 more source
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
openaire +6 more sources