Multiple of Homoclinic Solutions for a Perturbed Dynamical Systems with Combined Nonlinearities
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0930-x
Abstract: In this paper, we study the existence of multiple and infinite homoclinic solutions for the following perturbed dynamical systems $$\begin{aligned} \ddot{x}+A\cdot \dot{x}-L(t)\cdot x+\nabla W(t,x)=f(t), \end{aligned}$$x¨+A·x˙-L(t)·x+∇W(t,x)=f(t),where $$t\in {\mathbb R}, x\in {\mathbb R}^N,$$t∈R,x∈RN,A is an antisymmetric constant… read more here.
Keywords: homoclinic solutions; multiple homoclinic; mathbb mathbb; dynamical systems ... See more keywords
Identification of unstable fixed points for randomly perturbed dynamical systems with multistability
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.07.060
Abstract: Abstract Multistability, especially bistability, is one of the most important nonlinear phenomena in deterministic and stochastic dynamics. The identification of unstable fixed points for randomly perturbed dynamical systems with multistability has drawn increasing attention in… read more here.
Keywords: randomly perturbed; unstable fixed; multistability; dynamical systems ... See more keywords
Complete Asymptotics for Solution of Singularly Perturbed Dynamical Systems with Single Well Potential
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DOI: 10.3390/math8060949
Abstract: We consider a singularly perturbed boundary value problem ( − ε 2 ∆ + ∇ V · ∇ ) u ε = 0 in Ω , u ε = f on ∂ Ω , f… read more here.
Keywords: complete asymptotics; singularly perturbed; asymptotics solution; solution singularly ... See more keywords