Results 31 to 40 of about 203,333 (252)
Acetylcholine waves and dopamine release in the striatum
Nature Communications, 2023 Striatal dopamine encodes reward, with recent work showing that dopamine release occurs in spatiotemporal waves. However, the mechanism of dopamine waves is unknown. Here we report that acetylcholine release in mouse striatum also exhibits wave activity,
Lior Matityahu +7 more
doaj +1 more source
Special solutions to a compact equation for deep-water gravity waves [PDF]
, 2012 Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential flow of an incompressible, infinitely deep fluid with a free surface ...
Boyd +4 more
core +3 more sources
Symmetric Waves Are Traveling Waves
International Mathematics Research Notices, 2009 We show that horizontally symmetric water waves are traveling waves. The result is valid for the Euler equations, and is based on a general principle that applies to a large class of nonlinear partial differential equations, including some of the most famous model equations for water waves. A detailed analysis is given for weak solutions of the Camassa-
Ehrnström, Mats +2 more
openaire +2 more sources
Bounded and unbounded traveling wave solutions of the (3+1)-dimensional Jimbo-Miwa equation
Results in Physics, 2019 This paper studies traveling waves of the (3+1)-dimensional Jimbo-Miwa equation comprehensively and systematically. By transforming its traveling wave system into a dynamical system in R3, we apply the bifurcation method of dynamical system to ...
Yuqian Zhou, Feiting Fan, Qian Liu
doaj +1 more source
Stability, Uniqueness and Recurrence of Generalized Traveling Waves in Time Heterogeneous Media of Ignition Type [PDF]
, 2015 The present paper is devoted to the study of stability, uniqueness and recurrence of generalized traveling waves of reaction-diffusion equations in time heterogeneous media of ignition type, whose existence has been proven by the authors of the present ...
Shen, Wenxian, Shen, Zhongwei
core +1 more source
Sources and sinks separating domains of left- and right-traveling waves: Experiment versus amplitude equations [PDF]
, 1996 In many pattern forming systems that exhibit traveling waves, sources and sinks occur which separate patches of oppositely traveling waves. We show that simple qualitative features of their dynamics can be compared to predictions from coupled amplitude ...
A. C. Newell +18 more
core +4 more sources
Nature Communications, 2021 Spontaneous traveling cortical waves shape neural responses. Using a large-scale computational model, the authors show that transmission delays shape locally asynchronous spiking dynamics into traveling waves without inducing correlations and boost ...
Zachary W. Davis +7 more
doaj +1 more source
Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System
Abstract and Applied Analysis, 2012 We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case.
Chin-Chin Wu
doaj +1 more source
Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay
Open Mathematics, 2022 This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
doaj +1 more source
Traveling waves of selective sweeps [PDF]
, 2011 The goal of cancer genome sequencing projects is to determine the genetic alterations that cause common cancers. Many malignancies arise during the clonal expansion of a benign tumor which motivates the study of recurrent selective sweeps in an ...
Durrett, Rick, Mayberry, John
core +3 more sources