Results 181 to 190 of about 7,811,799 (238)

Homoclinic solution and chaos in

Nonlinear Analysis: Theory, Methods & Applications, 1981
xf(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.
H. Walther
semanticscholar   +4 more sources

Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation

International Journal of Nonlinear Sciences and Numerical Simulation, 2019
This paper presents sufficient conditions for the existence of at least one homoclinic solution for a nonlinear second-order difference equation with p-Laplacian. Our technical approach is based on variational methods.
M. Bohner, G. Caristi, S. Heidarkhani, S. Moradi   +3 more
semanticscholar   +3 more sources

Homoclinic breather and rogue wave solutions to Maccari equation

Computers and Mathematics With Applications, 2020
In this work, a new extended homoclinic test combining with breather period limit method (BPLM), for seeking homoclinic breather and rogue wave solution of nonlinear evolution (2+1)D Maccari equation, is proposed.
Ying Jiang, Da-quan Xian, Xiao-Rong Kang
semanticscholar   +3 more sources

Periodic and homoclinic solutions generated by impulses

Nonlinear Analysis: Real World Applications, 2011
The topic of interest is the following class of second order differential equations with impulses \[ \ddot{q}+V_q(t,q)=f(t),\qquad t \in (s_{k-1},s_k), \] \[ \Delta \dot{q}(s_k)= g_{k}(q(s_k)), \] where \(k \in \mathbb{Z}\), \(q \in \mathbb{R}^n\), \(\Delta \dot{q}(s_k)= \dot{q}(s_k^+)- \dot{q}(s_k^-)\), \(V_q(t,q)=\text{grad}_q V(t,q)\), \(g_k(q ...
Zhang, Hao, Li, Zhixiang
openaire   +4 more sources

Existence and Uniqueness of Homoclinic Solution for a Rayleigh Equation with a Singularity

Qualitative Theory of Dynamical Systems, 2020
Shiping Lu, Xuewen Jia
semanticscholar   +3 more sources

Constructing explicit homoclinic solution of oscillators: An improvement for perturbation procedure based on nonlinear time transformation

Communications in Nonlinear Science and Numerical Simulation, 2017
Yangyang Chen, Shuhui Chen, Wei Zhao
semanticscholar   +3 more sources

Homoclinic bifurcation of a ratio-dependent predator–prey system with impulsive harvesting

Nonlinear Dynamics, 2017
Chunjin Wei, Junnan Liu, Lansun Chen
semanticscholar   +3 more sources

Inclined periodic homoclinic breather and rogue waves for the (1+1)-dimensional Boussinesq equation

Pramana - Journal of Physics, 2014
Z. Dai, Chuanjian Wang, Jun Liu
semanticscholar   +3 more sources

Periodic and homoclinic solutions of discontinuous Cohen-Grossberg neural networks with time-varying delays

European Journal of Control, 2020
In this paper, we investigate a class of discontinuous Cohen–Grossberg neural networks (DCGNNs) with time-varying delays. Under the framework of Filippov solution, by means of differential inclusions theory and the set-valued version of the Mawhin ...
F. Kong, Quanxin Zhu, C. Aouiti, Farah Dridi   +3 more
semanticscholar   +1 more source

Homoclinic solutions for ordinary p-Laplacian systems

Applied Mathematics and Computation, 2012
The 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 ...
Lv, Xiang, Lu, Shiping
openaire   +1 more source