Results 11 to 20 of about 2,056 (109)
Melnikov method and transversal homoclinic points in the restricted three-body problem
Journal of Differential Equations, 1992 In this paper we show, by Melnikov method, the existence of the transversal homoclinic orbits in the circular restricted three-body problem for all but some finite number of values of the mass ratio of the two primaries. This implies the existence of a family of oscillatory and capture motion.
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Exponential dichotomies and transversal homoclinic points
Physica D: Nonlinear Phenomena, 1984 Kenneth J Palmer
exaly +5 more sources
The transversal homoclinic points are dense in the codimension-1 Hénon-like strange attractors [PDF]
Proceedings of the American Mathematical Society, 1999 We consider the codimension-1 Hénon-like strange attractors Λ \Lambda . We prove that the transversal homoclinic points are dense in Λ \Lambda , and that hyperbolic periodic points are dense in Λ \Lambda .
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Analytical homoclinic solution of a two dimensional nonlinear system of differential equations [PDF]
, 2013 Analytical solution of the homoclinic orbit of a two dimensional system of differential equations that describes the hamiltonian part of the slow flow of a three degree of freedom dissipative system of linear coupled oscillators with an essentially ...
Maaita, Jamal- Odysseas +1 more
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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
Transition Tori in the Planar Restricted Elliptic Three Body Problem
, 2011 We consider the elliptic three body problem as a perturbation of the circular problem. We show that for sufficiently small eccentricities of the elliptic problem, and for energies sufficiently close to the energy of the libration point L2, a Cantor set ...
Capinski, Maciej J., Zgliczynski, Piotr
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Dependence of chaotic behavior on optical properties and electrostatic effects in double beam torsional Casimir actuation [PDF]
, 2018 We investigate the influence of Casimir and electrostatic torques on double beam torsional microelectromechanical systems with materials covering a broad range of conductivities of more than three orders of magnitude.
Masoudi, A. A. +4 more
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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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Journal of Differential Equations, 2019 It is well-known that chaos arises if a smooth dynamical system which admits a transversal homoclinic point is perturbed. This paper presents a new result that this phenomenon may not exist for some piecewise smooth two-dimensional systems subjected to a periodic or almost periodic perturbation.
M. Franca, M. Pospíšil
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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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