Results 11 to 20 of about 83,325 (264)
A Spectral Mapping Theorem and Invariant Manifolds for Nonlinear Schr\"odinger Equations [PDF]
, 1999 A spectral mapping theorem is proved that resolves a key problem in applying invariant manifold theorems to nonlinear Schr\" odinger type equations. The theorem is applied to the operator that arises as the linearization of the equation around a standing
Gesztesy, F. +3 more
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Journal of Inequalities and Applications, 2017 As new applications of Schrödinger type inequalities appearing in Jiang (J. Inequal. Appl. 2016:247, 2016), we first investigate the existence and uniqueness of a Schrödingerean equilibrium.
Jianjie Wang, Hugo Roncalver
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The energy–momentum method for the stability of non-holonomic systems [PDF]
, 1997 In this paper we analyze the stability of relative equilibria of nonholonomic systems (that is, mechanical systems with nonintegrable constraints such as rolling constraints).
Bloch, Anthony M. +2 more
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Stability and Neimark–Sacker Bifurcation of a Delay Difference Equation
Mathematics, 2023 In this paper, we revisit a delay differential equation. By using the semidiscretization method, we derive its discrete model. We mainly deeply dig out a Neimark–Sacker bifurcation of the discrete model.
Shaoxia Jin, Xianyi Li
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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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Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model
Discrete Dynamics in Nature and Society, 2013 We investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions.
Shuling Yan +3 more
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Dynamics of a delay turbidostat system with contois growth rate
Mathematical Biosciences and Engineering, 2019 In this contribution, the dynamic behaviors of a turbidostat model with Contois growth rate and delay are investigated. The qualitative properties of the system are carried out including the stability of the equilibria and the bifurcations.
Yong Yao
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Ends, fundamental tones, and capacities of minimal submanifolds via extrinsic comparison theory [PDF]
, 2014 We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an ambient manifold with a pole.
Gimeno, Vicent, Markvorsen, Steen
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Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System
Journal of Applied Mathematics, 2012 The dynamics of a system of two semiconductor lasers, which are delay coupled via a passive relay within the synchronization manifold, are investigated.
Gang Zhu, Junjie Wei
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AIMS Mathematics, 2022 In this paper we revisit a discrete predator-prey model with Holling Ⅳ functional response. By using the method of semidiscretization, we obtain new discrete version of this predator-prey model. Some new results, besides its stability of all fixed points
Mianjian Ruan, Chang Li, Xianyi Li
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