Results 31 to 40 of about 10,534 (236)
Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаTopic of the paper. Bounded stationary (i.e. independent in time) spatially one-dimensional solutions of a quasilinear parabolic PDE are studied on the whole real line.
Kulagin, Nikolaj Evgenevich +1 more
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Multiple transverse homoclinic solutions near a degenerate homoclinic orbit
Journal of Differential Equations, 2015 The authors study periodic perturbations of differential equations possessing a degenerate homoclinic orbit. Regarding the degeneracy it is assumed more precisely that along the homoclinic orbit the tangent spaces of the corresponding stable and unstable manifolds intersect in a two-dimensional space.
Lin, Xiao-Biao +2 more
openaire +1 more source
Resonant Homoclinic Flips Bifurcation in Principal Eigendirections
Abstract and Applied Analysis, 2013 A codimension-4 homoclinic bifurcation with one orbit flip and one inclination flip at principal eigenvalue direction resonance is considered. By introducing a local active coordinate system in some small neighborhood of homoclinic orbit, we get the ...
Tiansi Zhang, Xiaoxin Huang, Deming Zhu
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Dynamical behavior of a parametrized family of one-dimensional maps
Electronic Journal of Qualitative Theory of Differential Equations, 2022 The connection of these maps to homoclinic loops acts like an amplifier of the map behavior, and makes it interesting also in the case where all map orbits approach zero (but in many possible ways).
Erkan Muştu
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Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic Limit of Zoom-Whirliness
, 2008 Spinning black hole pairs exhibit a range of complicated dynamical behaviors. An interest in eccentric and zoom-whirl orbits has ironically inspired the focus of this paper: the constant radius orbits.
E. Ott +5 more
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Signatures of homoclinic motion in quantum chaos [PDF]
, 2005 Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying the fluctuations of the widths
D. A. Wisniacki +7 more
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Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation
Abstract and Applied Analysis, 2014 The bifurcation of a nongeneric homoclinic orbit (i.e., the orbit comes from the equilibrium along the unstable manifold instead of the center manifold) connecting a nonhyperbolic equilibrium is investigated, and the nonhyperbolic equilibrium undergoes ...
Fengjie Geng, Song Li
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Homoclinic chaos in the dynamics of a general Bianchi IX model [PDF]
, 2002 The dynamics of a general Bianchi IX model with three scale factors is examined. The matter content of the model is assumed to be comoving dust plus a positive cosmological constant. The model presents a critical point of saddle-center-center type in the
A. E. Motter +25 more
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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
wiley +1 more source
Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations
, 2015 The Koper model is a three-dimensional vector field that was developed to study complex electrochemical oscillations arising in a diffusion process.
Guckenheimer, John, Lizarraga, Ian
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