Results 11 to 20 of about 9,595 (205)
Results in Physics, 2021 Our aim in this paper is to determine rogue-wave solutions for Maccari-system. We also construct multi-waves, homoclinic breathers, M-shaped rational and periodic cross kink solutions with the combination of exponential, rational, trigonometric functions
Syed T.R. Rizvi +5 more
doaj +3 more sources
HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD
Journal of Applied Analysis & Computation, 2019 Summary: Homoclinic solutions arise in various discrete models with variational structure, from discrete nonlinear Schrödinger equations to discrete Hamiltonian systems. In recent years, a lot of interesting results on the homoclinic solutions of difference equations have been obtained.
Erbe, Lynn, Jia, Baoguo, Zhang, Qinqin
openaire +4 more sources
Multiple bursting patterns in lateral habenula neurons: Experiments and computational model. [PDF]
J PhysiolAbstract 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 +5 more
europepmc +2 more sources
Topics in Cognitive Science, EarlyView., 2023 Abstract Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation ...
Sebastian Wallot +5 more
wiley +1 more source
Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge. [PDF]
Quant BiolAbstract 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
Multiple homoclinic solutions for superquadratic Hamiltonian systems
Electronic Journal of Differential Equations, 2016 In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems $$ \ddot{u}-L(t)u+W_u(t,u)=0, \quad \forall t\in\mathbb{R}, $$ where L is not required to be either uniformly positive ...
Wei Jiang, Qingye Zhang
doaj +2 more sources
Homoclinic chaos and energy condition violation [PDF]
, 2006 In this letter we discuss the connection between so-called homoclinic chaos and the violation of energy conditions in locally rotationally symmetric Bianchi type IX models, where the matter is assumed to be non-tilted dust and a positive cosmological ...
A. Rendall +8 more
core +2 more sources
Multiple transverse homoclinic solutions near a degenerate homoclinic orbit
Journal of Differential Equations, 2015 The authors study periodic perturbations of differential equations possessing a degenerate homoclinic orbit. Regarding the degeneracy it is assumed more precisely that along the homoclinic orbit the tangent spaces of the corresponding stable and unstable manifolds intersect in a two-dimensional space.
Lin, Xiao-Biao +2 more
openaire +1 more source
Homoclinic solutions of quasiperiodic Lagrangian systems
Differential and Integral Equations, 1995 Let \(M^m\) be a smooth connected manifold, \(\omega\in \mathbb{R}^n\) a fixed nonresonant frequency vector, and \(L: P= TM\times \mathbb{T}^n\to \mathbb{R}\), \(L= L(x, v, \theta)\), a Lagrangian function which determines the Lagrangian quasiperiodic system (1) \({d\over dt} L_v(x, \dot x, \theta)- L_x(x, \dot x, \theta)= 0\), \(\dot\theta= \omega ...
Bertotti, M. L., Bolotin, S. V.
openaire +4 more sources
Homoclinic and heteroclinic solutions to a hepatitis C evolution model
Open Mathematics, 2018 Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas +4 more
doaj +1 more source