Results 1 to 10 of about 60,291 (117)
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
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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
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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
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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
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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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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
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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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Mathematics, 2021 In this paper, the normal form and central manifold theories are used to discuss the influence of two-degree-of-freedom coupled van der Pol oscillators with time delay feedback. Compared with the single-degree-of-freedom time delay van der Pol oscillator,
Yani Chen, Youhua Qian
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Axioms, 2021 This paper investigates the local and global character of the unique positive equilibrium of a mixed monotone fractional second-order difference equation with quadratic terms.
Mirela Garić-Demirović +2 more
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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
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