Results 161 to 170 of about 2,741,766 (204)
Homoclinic solutions to the gray-scott model [PDF]
Applied Mathematics Letters, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shangbing Ai
exaly +5 more sources
Fast homoclinic solutions for some second order non-autonomous systems [PDF]
Journal of Mathematical Analysis and Applications, 2011 This paper is concerned with the existence of homoclinic solutions for the following second order non-autonomous system(FHS)q¨+cq˙+Uq(t,q)=0, where q∈Rn, c⩾0 is a constant and U(t,q)∈C1(R×Rn,R).
Ziheng Zhang
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
The Existence of Homoclinic Solutions for Hyperbolic Equations
Journal of Applied Analysis, 1995Summary: We present a new variational method general enough to treat the problem of the existence of homoclinic solutions for the following semilinear wave equation: \[ x_{tt} (t,y)-x_{yy} (t,y)+ g\bigl(t,y,x(t,y) \bigr)=0 \quad \text{for} \quad ...
Nowakowski, A., Rogowski, A.
openaire +1 more source
Homoclinic solutions for ordinary p-Laplacian systems
Applied Mathematics and Computation, 2012The authors study the ordinary \(p\)-Laplacian system \[ \frac{d}{dt}(\left|\dot{u}(t)\right|^{p-2}\dot{u}(t))+\nabla V(t,u(t))=f(t), \] where \(p> 1\), \(t\in\mathbb R\), \(u\in\mathbb R^{n}\) and \(V\in \mathbb C^{1}(\mathbb R\times\mathbb R^{n},\mathbb R)\), \(V(t,x)=-K(t,x)+W(t,x)\) is \(T\)-periodic with respect to \(t\), \(T>0\), and \(f:\mathbb ...
Xiang Lv, Shiping Lu
openaire +1 more source
Homoclinic Solutions for Fourth Order Traveling Wave Equations [PDF]
SIAM Journal on Mathematical Analysis, 2009 We consider homoclinic solutions of fourth order equations $$ u^{""} + β^2 u^{"} + V_u (u)=0 {in} \R ,$$ where $V(u)$ is either the suspension bridge type $V(u)=e^u-1-u$ or Swift-Hohenberg type $ V(u)= {1/4}(u^2-1)^2$. For the suspension bridge type equation, we prove existence of a homoclinic solution for {\em all} $ β\in (0, β_*)$ where $ β_{*}= 0 ...
Juncheng Wei, Sanjiban Santra
exaly +3 more sources
Homoclinic solutions for a higher order difference equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lingju Kong
exaly +2 more sources
A Homoclinic Solution for Excitation Waves on a Contractile Substratum
SIAM Journal on Applied Dynamical Systems, 2012We analyze a model of electric signaling in biological tissues and prove that this model admits a traveling wave solution. Our result is based on a new technique for computing rigorous bounds on the stable and unstable manifolds at an equilibrium point of a dynamical system depending on a parameter.
AMBROSI, DAVIDE CARLO +2 more
openaire +3 more sources
Homoclinic solution and chaos in
Nonlinear Analysis: Theory, Methods & Applications, 1981xf(x) 0 , is followed by a move in the opposite direction (i(t) < 0). However, there are equations (1, 2) which are closely related to applications, and where the negative feedback condition (3) is only true in a certain neighbourhood of x = 0.
openaire +1 more source
Bifurcation of Homoclinic Solutions for Hamiltonian Systems
Zeitschrift für Analysis und ihre Anwendungen, 2002We consider the Hamiltonian system Ju'(x) + Mu(x) – \bigtriangledown _u F(x,u(x)) = \lambda u(x). Using variational methods obtained by Stuart on the one hand and by Giacomoni and Jeanjean on the other, we get bifurcation results for homoclinic solutions by imposing ...
openaire +1 more source
Existence of Homoclinic Solutions for a Class of Damped Vibration Problems
Qualitative Theory of Dynamical Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huijuan Xu, Shan Jiang, Guanggang Liu
openaire +2 more sources