Results 61 to 70 of about 864 (203)

Measure-Expansive Homoclinic Classes for C¹ Generic Flows

Mathematics, 2020
In this paper, we prove that for a generically C1 vector field X of a compact smooth manifold M, if a homoclinic class H(γ,X) which contains a hyperbolic closed orbit γ is measure expansive for X then H(γ,X) is hyperbolic.
Manseob Lee
doaj   +1 more source

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

Existence of Homoclinic Cycles and Periodic Orbits in a Class of Three-Dimensional Piecewise Affine Systems

, 2018
For a class of three-dimensional piecewise affine systems, this paper focuses on the existence of homoclinic cycles and the phenomena of homoclinic bifurcation leading to periodic orbits.
Xiao-Song Yang, Lei Wang
core   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Infinitely many homoclinic solutions for a class of damped vibration problems

Electronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper, we consider the multiplicity of homoclinic solutions for the following damped vibration problems $$ \ddot{x}(t)+B\dot{x}(t)-A(t)x(t)+H_{x}(t,x(t))=0,$$ where $A(t)\in (\mathbb{R},\mathbb{R}^{N})$ is a symmetric matrix for all $t\in \mathbb{
Huijuan Xu, Shan Jiang, Guanggang Liu
doaj   +1 more source

Multiple Homoclinics for a Class of Singular Hamiltonian Systems

Journal of Mathematical Analysis and Applications, 1997
The authors investigate a second order Hamiltonian system of the form \(\ddot u + \nabla V(u) = 0\) in \(\mathbb{R}^n\), where the potential has a unique strict global maximum at the origin \(p\) and a singular set \(S \not\ni p\) such that \(\mathbb{R}^n \backslash S\) is open, path-connected and has non-trivial fundamental group \(\pi_1 = G\).
Caldiroli, Paolo, De Coster, Colette
openaire   +1 more source

On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero

Abstract and Applied Analysis, 2014
The existence and multiplicity of homoclinic solutions for a class of first-order periodic Hamiltonian systems with spectrum point zero are obtained. The proof is based on two critical point theorems for strongly indefinite functionals.
Feng Li, Juntao Sun
doaj   +1 more source

Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions

Advances in Difference Equations, 2017
Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being superlinear at infinity.
Liqian Jia, Jun Chen, Guanwei Chen
doaj   +1 more source

Multiple bursting patterns in lateral habenula neurons: Experiments and computational model

The Journal of Physiology, Volume 604, Issue 8, Page 3396-3412, 15 April 2026.
Abstract figure legend LHb neurons display a variety of bursting patterns, as well as being silent or displaying a tonic or irregular firing pattern. In a set of patch‐clamp experiments in ex vivo mouse lateral habenula (LHb), we were able to record from a number of cells showing characteristic bursts of a few distinguishable types.
Dmitry Fedorov, Fabien Campillo, Mathieu Desroches, Edgar Soria‐Gómez, Serafim Rodrigues, Joaquin Piriz   +5 more
wiley   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source