Results 21 to 30 of about 6,937,403 (296)
On Oscillations in a Gene Network with Diffusion
Mathematics, 2023 We consider one system of partial derivative equations of the parabolic type as a model of a simple 3D gene network in the presence of diffusion of its three components.
Vladimir Golubyatnikov +2 more
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Dynamical analysis and phase portraits of two-mode waves in different media
, 2020 In this work, new dual-mode nonlinear Schrodinger’s equations (NLSEs) are studied with cubic and quadratic cubic nonlinearities. The new models introduce three different physical parameters such as nonlinearity, phase velocity, and dissipative factor ...
N. Raza +4 more
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Phase portraits of planar piecewise linear refracting systems: Focus-saddle case
, 2020 This paper deals with planar piecewise linear refracting systems with a straight line of separation. Using the Poincare compactification, we provide the classification of the phase portraits in the Poincare disc of piecewise linear refracting systems ...
Shimin Li, J. Llibre
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Results in Physics, 2023 This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
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A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2018 We study stochastic bifurcation for a system under multiplicative stable Levy noise (an important class of non-Gaussian noise), by examining the qualitative changes of equilibrium states in its most probable phase portraits.
Hui Wang, Xiaoli Chen, Jinqiao Duan
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Phase Portraits of the Leslie-Gower System
Acta Mathematica Scientia, 2022 In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i.e., in the compactification of R adding the circle S of the infinity) modulo topological equivalence. It is well-known that the equilibrium point of the Leslie-Gower
Llibre, Jaume, Valls, Claudia
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, 2020 Li and Llibre in [J. Differential Equations 252 (2012) 3142–3162] proved that a Lienard system of degree four: d x d t = y − ( a x + b x 2 + c x 3 + x 4 ) , d y d t = − x has at most one limit cycle.
Xiaofeng Chen, Hebai Chen
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Discrete Dynamics in Nature and Society, 2022 The main purpose of the current paper is to study the phase portraits and bounded and singular traveling wave solution of the stochastic nonlinear Biswas–Arshed equation by using the “three-step method” of Professor Li’s method together with the phase ...
Yong Tang, Wei Zeng, Zhao Li
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Phase portraits of the Higgins–Selkov system
Discrete & Continuous Dynamical Systems - B, 2022 <p style='text-indent:20px;'>In this paper we study the dynamics of the Higgins–Selkov system</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \dot{x} = 1-xy^\gamma, \quad\dot{y} = \alpha y(xy^{\gamma -1}-1), \end{equation*} $\end{document} </tex-math ...
Llibre, Jaume, Mousavi, Marzieh
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Phase Portraits of Random Planar Homogeneous Vector Fields [PDF]
, 2019 In this paper, we study the probability of occurrence of phase portraits in the set of random planar homogeneous polynomial vector fields, of degree n . In particular, for $$n=1,2,3,$$ n = 1 , 2 , 3 , we give the complete solution of the problem; that is,
A. Cima, A. Gasull, Víctor Mañosa
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