Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point [PDF]
, 1994 Beyn W-J. Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point. IMA Journal of Numerical Analysis. 1994;14(3):381-410.It is known that branches of homoclinic orbits emanate from a singular point of a dynamical system with a ...
Beyn, Wolf-Jürgen
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Transversal heteroclinic and homoclinic orbits in singular perturbation problems [PDF]
, 1990 Szmolyan, P.. (1990). Transversal heteroclinic and homoclinic orbits in singular perturbation problems.
Szmolyan, P., Szmolyan, P
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Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space [PDF]
, 2011 This paper is concerned with distribution of maps with transversal homoclinic orbits in a continuous map space, which consists of continuous maps defined in a closed and bounded set of a Banach space.
Yuming Shi, Qiuju Xing
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
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Homoclinic bifurcations in a planar dynamical system
, 2022 S.1183-1191The homoclinic bifurcation properties of a planar dynamical system are analyzed and the corresponding bifurcation diagram is presented. The occurrence of two Bogdanov-Takens bifurcation points provides two local existing curves of homoclinic ...
Kuepper, T., Giannakopoulos, F., Zou, Y.
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Abrupt bifurcations in chaotic scattering : view from the anti-integrable limit [PDF]
, 2013 Bleher, Ott and Grebogi found numerically an interesting chaotic phenomenon in 1989 for the scattering of a particle in a plane from a potential field with several peaks of equal height.
Chen, Yi-Chiuan +2 more
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Invariant manifolds of homoclinic orbits: super-homoclinics and multi-pulse homoclinic loops [PDF]
, 2020 Consider a Hamiltonian flow on R4 with a hyperbolic equilibrium O and a transverse homoclinic orbit Γ. In this thesis, we study the dynamics near Γ in its energy level when it leaves and enters O along strong unstable and strong stable directions ...
Bakrani Balani, Sajjad
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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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Detection of symmetric homoclinic orbits to saddle-centres in reversible systems [PDF]
, 2005 We present a perturbation technique for the detection of symmetric homoclinic orbits to saddle-centre equilibria in reversible systems of ordinary differential equations.
Yagasaki, Kazuyuki, Wagenknecht, T
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