Results 51 to 60 of about 205,637 (167)
A strange attractor in the unfolding of an orbit-flip homoclinic orbit
, 2002 An orbit-flip homoclinic orbit Gamma of a vector field defined on R-3 is a homoclinic orbit to an equilibrium point for which the one-dimensional unstable manifold of the equilibrium point is connected to the one-dimensional strong stable manifold.
Naudot, V, Naudot, [No Value]
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Measure-Expansive Homoclinic Classes for C1 Generic Flows
Mathematics, 2020 In this paper, we prove that for a generically C1 vector field X of a compact smooth manifold M, if a homoclinic class H(γ,X) which contains a hyperbolic closed orbit γ is measure expansive for X then H(γ,X) is hyperbolic.
Manseob Lee
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Multiple bursting patterns in lateral habenula neurons: Experiments and computational model
The Journal of Physiology, Volume 604, Issue 8, Page 3396-3412, 15 April 2026.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.
Dmitry Fedorov +5 more
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Perturbed Li–Yorke homoclinic chaos
Electronic Journal of Qualitative Theory of Differential Equations, 2018 It is rigorously proved that a Li–Yorke chaotic perturbation of a system with a homoclinic orbit creates chaos along each periodic trajectory. The structure of the chaos is investigated, and the existence of infinitely many almost periodic orbits out of ...
Marat Akhmet +3 more
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Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities
Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
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SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
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Discrete embedded solitons [PDF]
, 2005 We address the existence and properties of discrete embedded solitons (ESs), that is localised waves existing inside the phonon band in a nonlinear dynamical-lattice model. The model describes a one-dimensional array of optical waveguides with both Chi(2)
Yagasaki, Y +3 more
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Kudryashov Expansion Method Applied to Fisher Mathematical Model
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk +3 more
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Bifurcation from a homoclinic orbit in parabolic differential equations
, 1986 SynopsisThis paper considers autonomous parabolic equations which have a homoclinic orbit to an isolated equilibrium point. We study these systems under autonomous perturbations.
C. Miguel Blázquez
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Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies
Shock and Vibration, 1995 The method of normal forms is used to study the nonlinear response of two-degree-of-freedom systems with repeated natural frequencies and cubic nonlinearity to a principal parametric excitation.
A. H. Nayfeh, C. Chin, D. T. Mook
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