Results 21 to 30 of about 6,882 (256)

Dynamical plane wave solutions for the Heisenberg model of ferromagnetic spin chains with beta derivative evolution and obliqueness

Heliyon, 2022
The oblique plane waves with their dynamical behaviors for a (2+1)-dimensional nonlinear Schrödinger equation (NLSE) having beta derivative spatial-temporal evolution are investigated.
M.F. Uddin, M.G. Hafez, S.A. Iqbal
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Qualitative analysis of stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity

Results in Physics, 2023
In this paper, the stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity is studied, which is usually used to describe the mathematical model of optical soliton propagation in ...
Chen Peng, Lu Tang, Zhao Li, Dan Chen
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INTERTWINED BASINS OF DYNAMICAL SYSTEMS FOR PLANAR FLOWS

Far East Journal of Dynamical Systems, 2012
In this article, we continue investigating a kind of intertwining phenomenon, and give a necessary and sufficient condition for the existence of intertwined basins of the dynamical systems in ...
Chen, Ming, Li, Gang
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Dynamics of Planar Systems That Model Stage-Structured Populations [PDF]

Discrete Dynamics in Nature and Society, 2015
We study a general discrete planar system for modeling stage-structured populations. Our results include conditions for the global convergence of orbits to zero (extinction) when the parameters (vital rates) are time and density dependent. When the parameters are periodic we obtain weaker conditions for extinction. We also study a rational special case
Lazaryan, N., Sedaghat, Hassan
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Dynamical behavior analysis and soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations

Results in Physics
This article investigates the dynamical behavior analysis and soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations in fluid flow dynamics and plasma waves.
Jie Luo
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Bifurcation and new exact traveling wave solutions for time-space fractional Phi-4 equation

AIP Advances, 2020
In this paper, the dynamical behavior of a time-space fractional Phi-4 equation is investigated by utilizing the bifurcation method of a planar dynamical system. Under the given parameter conditions, phase portraits and bifurcations are obtained with the
Zhao Li, Tianyong Han, Chun Huang
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Linear stability of periodic trajectories in inverse magnetic billiards [PDF]

Theoretical and Applied Mechanics
We study the stability of periodic trajectories of planar inverse magnetic billiards, a dynamical system whose trajectories are straight lines inside a connected planar domain $\Omega$ and (magnetic) Larmor arcs outside $\Omega$.
Gasiorek Sean
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Chaotic pattern, bifurcation, sensitivity and traveling wave solution of the coupled Kundu–Mukherjee–Naskar equation

Results in Physics, 2023
In this paper, the coupled Kundu–Mukherjee–Naskar equation is considered, which is usually used to describe the oceanic rogue waves, hole waves and Bragg grating fibers.
Zhao Li, Hanlei Hu
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Limit cycle uniqueness for a class of planar dynamical systems

Applied Mathematics Letters, 2006
The paper contains the proof of a theorem concerning the uniqueness of a limit cycle for the system \[ \dot{x}=\beta(x)(\varphi(y)-F(x,y)),\quad \dot{y}=-\alpha(y)g(x), \] where \(\alpha(y)\) and \(\beta(x)\) are assumed to be positive. The theorem is applied to such systems in the case \(F(x,y)=F(x)v(y),\) where \(v(y)\) vanishes at some point.
Marco Sabatini, Gabriele Villari
openaire   +3 more sources

Bifurcation, chaotic behaviors and solitary wave solutions for the fractional Twin-Core couplers with Kerr law non-linearity

Scientific Reports
The main purpose of this article is to analyze the bifurcation, chaotic behaviors, and solitary wave solutions of the fractional Twin-Core couplers with Kerr law non-linearity by using the planar dynamical system method.
Zhao Li, Jingjing Lyu, Ejaz Hussain
doaj   +1 more source