Results 31 to 40 of about 4,623,308 (321)
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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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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The parameterization method for center manifolds [PDF]
, 2019 In this paper, we present a generalization of the parameterization method, introduced by Cabr\'{e}, Fontich and De la Llave, to center manifolds associated to non-hyperbolic fixed points of discrete dynamical systems.
Berg, Jan Bouwe van den +2 more
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Inverse Jacobian multipliers and Hopf bifurcation on center manifolds [PDF]
, 2014 In this paper we consider a class of higher dimensional differential systems in $\mathbb R^n$ which have a two dimensional center manifold at the origin with a pair of pure imaginary eigenvalues. First we characterize the existence of either analytic or $
Zhang, Xiang
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Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
Electronic Journal of Qualitative Theory of Differential Equations, 2016 A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
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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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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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Transactions of the American Mathematical Society, 2019 This work is mainly motivated by the study of periodic wave train solutions for the so-called Gurtin-McCamy equation. To that aim we construct a smooth center manifold for a rather general class of abstract second order semi-linear differential equations
A. Ducrot, Pierre Magal
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Closed aspherical manifolds with center [PDF]
Journal of Topology, 2013 We show that in all dimensions >7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel.
Cappell, Sylvain +2 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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