Results 41 to 50 of about 10,336 (188)

Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem

AppliedMath
We examine the modified Hill three-body problem by incorporating the oblateness of the primary body and focus on its asymptotic orbits. Specifically, we analyze and characterize homoclinic and heteroclinic connections associated with the collinear ...
Vassilis S. Kalantonis
doaj   +1 more source

Characterization of K-complexes and slow wave activity in a neural mass model.

PLoS Computational Biology, 2014
NREM sleep is characterized by two hallmarks, namely K-complexes (KCs) during sleep stage N2 and cortical slow oscillations (SOs) during sleep stage N3.
Arne Weigenand, Michael Schellenberger Costa, Hong-Viet Victor Ngo, Jens Christian Claussen, Thomas Martinetz   +4 more
doaj   +1 more source

Structurally Stable Homoclinic Classes [PDF]

, 2014
In this paper we study structurally stable homoclinic classes. In a natural way, the structural stability for an individual homoclinic class is defined through the continuation of periodic points.
Wen, Xiao
core  

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Detecting Homoclinic Points in Nonlinear Discrete Dynamical Systems via Resurgent Analysis

AppliedMath
We present a novel and completely deterministic method to model chaotic orbits in nonlinear discrete dynamics, taking the quadratic map as an example.
Chihiro Matsuoka, Koichi Hiraide
doaj   +1 more source

Homoclinic Bifurcations for the Henon Map

, 1999
Chaotic dynamics can be effectively studied by continuation from an anti-integrable limit. We use this limit to assign global symbols to orbits and use continuation from the limit to study their bifurcations.
Aubry, Aubry, Benedicks, Biham, Biham, Champneys, Christiansen, Curry, Cvitanovic, D. Sterling, Davis, Devaney, Easton, Gavrilov, Gavrilov, Grassberger, H.R. Dullin, Hansen, Hao, Hénon, Hénon, J.D. Meiss, Kan, Lamb, MacKay, MacKay, MacKay, Meiss, Meiss, Moser, Naudot, Newhouse, Newhouse, Rimmer, Robinson, Rom-Kedar, Rom-Kedar, Sterling, Wenzel   +38 more
core   +4 more sources

Are physiological oscillations physiological?

The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.
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

Scarring by homoclinic and heteroclinic orbits

, 2006
In addition to the well known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated ...
A. M. Ozorio de Almeida, D. A. Wisniacki, E. Vergini, E. J. Heller, E. J. Heller, F. Borondo, M. V. Berry, R. M. Benito   +7 more
core   +1 more source

Existence and Spectral Stability Analysis of Viscous‐Dispersive Shock Profiles for Isentropic Compressible Fluids of Korteweg Type

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity coefficients are nonlinear smooth, positive functions of the specific volume, making the system the most ...
Raffaele Folino, Corrado Lattanzio, Ramón G. Plaza   +2 more
wiley   +1 more source

An example of $C^1$-generically wild homoclinic classes with index deficiency

, 2010
Given a closed smooth four-dimensional manifold, we construct a diffeomorphism that has a homoclinic class whose continuation locally generically satisfies the following condition: it does not admit any kind of dominated splittings whereas any periodic ...
Shinohara, Katsutoshi
core   +1 more source