Results 1 to 10 of about 682 (115)
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 ...
Gabriele Santin, Boumediene Hamzi
exaly +7 more sources
Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold
Advances in Nonlinear Analysis, 2018 Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2π7/3]{[0,2\pi\sqrt{7/3}]}.
Tang Shuxia +3 more
doaj +2 more sources
Stability analysis of the projectile based on random center manifold reduction
Theoretical and Applied Mechanics Letters, 2023 The center manifold method has been widely used in the field of stochastic dynamics as a dimensionality reduction method. This paper studied the angular motion stability of a projectile system under random disturbances.
Yong Huang, Chunyan Yang
doaj +3 more sources
SIAM Journal on Mathematical Analysis, 2021 To appear in SIAM Journal on Mathematical ...
Neamţu, Alexandra, Kuehn, Christian
openaire +2 more sources
Computational Analysis and Bifurcation of Regular and Chaotic Ca2+ Oscillations
Mathematics, 2021 This study investigated the stability and bifurcation of a nonlinear system model developed by Marhl et al. based on the total Ca2+ concentration among three different Ca2+ stores.
Xinxin Qie, Quanbao Ji
doaj +1 more source
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
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
openaire +4 more sources
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
On oscillation of solutions of scalar delay differential equation in critical case
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper we study the oscillation problem for the known scalar delay differential equation. We assume that the coefficients of this equation have an oscillatory behaviour with an amplitude of oscillation tending to zero at infinity.
Pavel Nesterov
doaj +1 more source
Bifurcation and Numerical Simulations of Ca2+ Oscillatory Behavior in Astrocytes
Frontiers in Physics, 2020 In this paper, the dynamical analysis of Ca2+ oscillations in astrocytes is theoretically investigated by the center manifold theorem and the stability theory of equilibrium point.
Hongkun Zuo, Min Ye
doaj +1 more source