scholarly journals Exact asymptotic behavior of pulsating traveling waves for a periodic monostable lattice dynamical system

2021 ◽  
Vol 149 (4) ◽  
pp. 1697-1710
Author(s):  
Shi-Liang Wu ◽  
Guang-Sheng Chen ◽  
Cheng-Hsiung Hsu
Keyword(s):  
Dynamical System ◽  
Asymptotic Behavior ◽  
Traveling Waves ◽  
Lattice Dynamical System ◽  
Exact Asymptotic Behavior

scholarly journals Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system

2009 ◽  
Vol 246 (10) ◽  
pp. 3818-3833 ◽  
Author(s):  
Jong-Shenq Guo ◽  
Chin-Chin Wu
Keyword(s):  
Dynamical System ◽  
Traveling Waves ◽  
Lattice Dynamical System

scholarly journals Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Chin-Chin Wu
Keyword(s):  
Dynamical System ◽  
Traveling Waves ◽  
Periodic Lattice ◽  
Two Dimensional ◽  
Periodic Media ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Sliding Method ◽  
Lattice Dynamical System ◽  
The One

We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case. In this paper, we derive the uniqueness of nonzero speed traveling waves by using the comparison principle and the sliding method.

scholarly journals Traveling waves for a lattice dynamical system arising in a diffusive endemic model

Nonlinearity ◽  
2017 ◽  
Vol 30 (6) ◽  
pp. 2334-2359 ◽  
Author(s):  
Yan-Yu Chen ◽  
Jong-Shenq Guo ◽  
François Hamel
Keyword(s):  
Dynamical System ◽  
Traveling Waves ◽  
Lattice Dynamical System

scholarly journals Existence and Multiplicity of Traveling Waves in a Lattice Dynamical System

2000 ◽  
Vol 164 (2) ◽  
pp. 431-450 ◽  
Author(s):  
Cheng-Hsiung Hsu ◽  
Song-Sun Lin
Keyword(s):  
Dynamical System ◽  
Traveling Waves ◽  
Existence And Multiplicity ◽  
Lattice Dynamical System

A new uniqueness theorem of wave profiles for a 2-D bistable lattice dynamical system

2021 ◽  
Vol 115 ◽  
pp. 106958
Author(s):  
Shuangting Lan ◽  
Peixuan Weng ◽  
Zhaoquan Xu
Keyword(s):  
Dynamical System ◽  
Uniqueness Theorem ◽  
Lattice Dynamical System ◽  
Wave Profiles

scholarly journals Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems

2005 ◽  
Vol 2005 (3) ◽  
pp. 273-288 ◽  
Author(s):  
Ahmed Y. Abdallah
Keyword(s):  
Dynamical System ◽  
Hilbert Space ◽  
Upper Semicontinuity ◽  
Reaction Diffusion ◽  
Dimensional Lattice ◽  
Reaction Diffusion Systems ◽  
Infinite Dimensional ◽  
Diffusion Systems ◽  
Lattice Dynamical System ◽  
Lattice Dynamical Systems

We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert spacel2×l2. Such a system is similar to the discretized FitzHugh-Nagumo system in neurobiology, which is an adequate justification for its study.

scholarly journals Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Habib Mâagli ◽  
Noureddine Mhadhebi ◽  
Noureddine Zeddini
Keyword(s):  
Asymptotic Behavior ◽  
Continuous Function ◽  
Boundary Value Problem ◽  
Positive Solution ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Fractional Boundary Value Problem ◽  
Exact Asymptotic Behavior ◽  
Nonnegative Continuous Function

We establish the existence and uniqueness of a positive solution for the fractional boundary value problem , with the condition , where , and is a nonnegative continuous function on that may be singular at or .

scholarly journals Cosmological dynamics of f(R) models in dynamical system analysis

2020 ◽  
Vol 35 (22) ◽  
pp. 2050124
Author(s):  
Parth Shah ◽  
Gauranga C. Samanta
Keyword(s):  
Dynamical System ◽  
Asymptotic Behavior ◽  
Critical Points ◽  
System Analysis ◽  
Late Time ◽  
Field Equations ◽  
Acceleration Phase ◽  
First Case ◽  
Acceleration Of The Universe ◽  
The Universe

In this work we try to understand the late-time acceleration of the universe by assuming some modification in the geometry of the space and using dynamical system analysis. This technique allows to understand the behavior of the universe without analytically solving the field equations. We study the acceleration phase of the universe and stability properties of the critical points which could be compared with observational results. We consider an asymptotic behavior of two particular models [Formula: see text] and [Formula: see text] with [Formula: see text], [Formula: see text], [Formula: see text] for the study. As a first case we fix the value of [Formula: see text] and analyze for all [Formula: see text]. Later as second case, we fix the value of [Formula: see text] and calculation are done for all [Formula: see text]. At the end all the calculations for the generalized case have been shown and results have been discussed in detail.

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