Results 21 to 30 of about 306,199 (304)
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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Homoclinic chaos in the dynamics of a general Bianchi IX model [PDF]
, 2002 The dynamics of a general Bianchi IX model with three scale factors is examined. The matter content of the model is assumed to be comoving dust plus a positive cosmological constant. The model presents a critical point of saddle-center-center type in the
A. E. Motter +25 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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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.
Kunze, Markus, Spohn, Herbert
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Mathematical Modelling and Analysis, 2015 The paper addresses the bifurcations for a delay differential model with parameters which confers a strong Allee effect in Escherichia coli. Stability and local Hopf bifurcations are analyzed when the delay τ or σ as parameter.
Qiubao Wang, Ruilan Tian
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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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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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The Construction and Smoothness of Invariant Manifolds by the Deformation Method [PDF]
, 1987 This paper proves optimal results for the invariant manifold theorems near a fixed point for a mapping (or a differential equation) by using the deformation, or Lie transform, method from singularity theory.
Marsden, Jerrold, Scheurle, Jürgen
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Threshold phenomenon for the quintic wave equation in three dimensions [PDF]
, 2011 For the critical focusing wave equation $\Box u = u^5$ on $\R^{3+1}$ in the radial case, we establish the role of the "center stable" manifold $\Sigma$ constructed in \cite{KS} near the ground state $(W,0)$ as a threshold between type I blowup and ...
Krieger, Joachim +2 more
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Properties of center manifolds [PDF]
Transactions of the American Mathematical Society, 1985 The center manifold has a number of puzzling properties associated with the basic questions of existence, uniqueness, differentiability and analyticity which may cloud its profitable application in e.g. bifurcation theory. This paper aims to deal with some of these subtle properties.
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