Results 11 to 20 of about 7,158,567 (167)

Multiple homoclinic solutions for a class of autonomous singular systems in R2

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1998
We look for homoclinic solutions for a class of second order autonomous Hamiltonian systems in \mathbf R^2 with a potential V having a strict global maximum at the origin and a finite set S ⊂ \mathbf R^2
CALDIROLI, Paolo, Nolasco M.
openaire   +5 more sources

Multiple bursting patterns in lateral habenula neurons: Experiments and computational model. [PDF]

J Physiol
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.
Fedorov D, Campillo F, Desroches M, Soria-Gómez E, Rodrigues S, Piriz J.   +5 more
europepmc   +2 more sources

Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits [PDF]

, 2008
In this paper we consider the orbital previous termdynamicsnext term of a previous termsolar sailnext term in the Earth-Sun circular restricted three-body problem. The equations of motion of the previous termsailnext term are given by a set of non-linear
Waters, Thomas, McInnes, Colin, Waters, Thomas J., McInnes, Colin R.   +3 more
core   +4 more sources

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge. [PDF]

Quant Biol
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Zhang P, Gao T, Guo J, Duan J.
europepmc   +2 more sources

Critical Threshold and Stability of Cluster Solutions for Large Reaction-Diffusion Systems in R [PDF]

, 2002
We study a large reaction-diffusion system which arises in the modeling of catalytic networks and describes the emerging of cluster states. We construct single cluster solutions on the real line and then establish their stability or instability in
Winter, M, Wei, J
core   +6 more sources

Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential [PDF]

Entropy, 2017
In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the given system by using Clark’s theorem from critical point theory and fountain theorem.
Neamat Nyamoradi, Ahmed Alsaedi, Bashir Ahmad 0003, Yong Zhou 0005   +3 more
openaire   +2 more sources

Multiplicity results for the Neumann boundary value problem

Mathematical Modelling and Analysis, 2007
We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).
Svetlana Atslega
doaj   +1 more source

The Existence and Multiplicity of Homoclinic Solutions for a Fractional Discrete p−Laplacian Equation

Mathematics, 2022
In this study, we investigate the existence and multiplicity of solutions for a fractional discrete p−Laplacian equation on Z. Under suitable hypotheses on the potential function V and the nonlinearity f, with the aid of Ekeland’s variational principle, via mountain pass lemma, we obtain that this equation exists at least two nonnegative and nontrivial
Yong Wu, Bouali Tahar, Guefaifia Rafik, Abita Rahmoune, Libo Yang   +4 more
openaire   +2 more sources

Multiple solutions of nonlinear boundary value problems with oscillatory solutions

Mathematical Modelling and Analysis, 2006
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
doaj   +1 more source

Infinitely Many Homoclinic Solutions for Fourth Order p-Laplacian Differential Equations

Mathematics, 2020
The existence of infinitely many homoclinic solutions for the fourth-order differential equation φ p u ″ t ″ + w φ p u ′ t ′ + V ( t ) φ p u t = a ( t ) f ( t , u ( t ) ) , t ∈ R is studied in the paper ...
Stepan Tersian
doaj   +1 more source