Results 1 to 10 of about 717,589 (231)

Temperature elevations can induce switches to homoclinic action potentials that alter neural encoding and synchronization. [PDF]

open access: yesNat Commun, 2022
Almost seventy years after the discovery of the mechanisms of action potential generation, some aspects of their computational consequences are still not fully understood.
Hesse J   +4 more
europepmc   +2 more sources

Homoclinic orbit and the violation of the chaos bound around a black hole with anisotropic matter fields [PDF]

open access: yesPhysical Review D, 2023
We study the homoclinic orbit and the violation of chaos bound, which are obtained by particle motions around a black hole that coexist with anisotropic matter fields.
S. Jeong   +3 more
semanticscholar   +1 more source

Bifurcation of big periodic orbits through symmetric homoclinics‎, ‎application to Duffing equation [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
‎We consider a planar symmetric vector field that undergoes a homoclinic bifurcation‎. ‎In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits‎, ‎we investigate the existence of fixed ...
Liela Soleimani, Omid RabieiMotlagh
doaj   +1 more source

Homoclinic orbits in Kerr-Newman black holes [PDF]

open access: yesPhysical Review D, 2023
We present the exact solutions of the homoclinic orbits for the timelike geodesics of the particle on the general nonequatorial orbits in the Kerr-Newman black holes. The homoclinic orbit is the separatrix between bound and plunging geodesics, a solution
Yi-Ting Li   +3 more
semanticscholar   +1 more source

Are physiological oscillations physiological?

open access: yesThe Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati ...
Mingliang Song, Runzhen Li
doaj   +1 more source

Exact relations between homoclinic and periodic orbit actions in chaotic systems. [PDF]

open access: yesPhysical Review E, 2017
Homoclinic and unstable periodic orbits in chaotic systems play central roles in various semiclassical sum rules. The interferences between terms are governed by the action functions and Maslov indices.
Jizhou Li, S. Tomsovic
semanticscholar   +1 more source

Global orbit of a complicated nonlinear system with the global dynamic frequency method

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2021
Global orbits connect the saddle points in an infinite period through the homoclinic and heteroclinic types of manifolds. Different from the periodic movement analysis, it requires special strategies to obtain expression of the orbit and detect the ...
Zhixia Wang   +3 more
doaj   +1 more source

Existence of homoclinic orbit in generalized Liénard type system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard type system. This trajectory is doubly asymptotic to an equilibrium solution, i.e., an orbit which lies in the intersection of the stable ...
Tohid Kasbi   +2 more
doaj   +1 more source

Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
This article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit.
Qiuying Lu, Guifeng Deng, Hua Luo
doaj   +1 more source

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