Results 11 to 20 of about 2,052 (114)

Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics [PDF]

, 2000
In this paper we apply dynamical systems techniques to the problem of heteroclinic connections and resonance transitions in the planar circular restricted three-body problem.
Koon, Wang Sang, Lo, Martin W., Marsden, Jerrold E., Ross, Shane D.   +3 more
core   +3 more sources

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, A. Latifi, A. M. Ozorio de Almeida, B. K. Berger, B. K. Berger, B. K. Berger, C. W. Misner, D. F. Chernoff, E. V. Tonini, G. A. Monerat, G. Contopoulos, G. Francisco, H. P. de Oliveira, H. P. de Oliveira, H. V. McIntosh, I. Damião Soares, J. D. Barrow, J. Koiller, N. J. Cornish, N. J. Cornish, N. J. Cornish, R. Barguine, S. Blehar, S. E. Rugh, V. A. Belinskii, V. A. Belinskii   +25 more
core   +2 more sources

Mixing-like properties for some generic and robust dynamics [PDF]

, 2014
We show that the set of Bernoulli measures of an isolated topologically mixing homoclinic class of a generic diffeomorphism is a dense subset of the set of invariant measures supported on the class.
Arbieto, Alexander, Catalan, Thiago, Santiago, Bruno   +2 more
core   +1 more source

Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials [PDF]

, 2002
The Melnikov method is applied to periodically perturbed open systems modeled by an inverse--square--law attraction center plus a quadrupolelike term. A compactification approach that regularizes periodic orbits at infinity is introduced.
A. E. Motter, A. Kenfack, A.M. Ozorio de Almeida, C. Chicone, D. Hennig, E. Ott, F.Kh. Abdullaev, G.D. Birkhoff, H. Bai-lin, H. Dankowicz, H. Poincaré, I.S. Gradshteyn, I.W. Stewart, J. Casasayas, J. Guckenheimer, J. Koiller, J. Moser, O.E. Gerhard, O.E. Gerhard, P. S. Letelier, P.S. Letelier, P.S. Letelier, R. McGehee, R. Moeckel, S. Chandrasekhar, S. Smale, T. Ahn, V.I. Arnold, V.K.Melnikov, X. Yao, Z. Xia   +30 more
core   +2 more sources

Motion of vortices implies chaos in Bohmian mechanics [PDF]

, 2005
Bohmian mechanics is a causal interpretation of quantum mechanics in which particles describe trajectories guided by the wave function. The dynamics in the vicinity of nodes of the wave function, usually called vortices, is regular if they are at rest ...
, Bialynicki-Birula I., Boffeta G., Bohm D., D. A Wisniacki, Dirac P. A. M., E. R Pujals, Guckenheimer J., Holland P. R., Palis J., Pujals E., Wisniacki D. A., Wu H., Zehnder E.   +13 more
core   +2 more sources

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

, 2011
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R., Angenent S. B., Angenent S. B., Angenent S. B., Anosov D. V., Arroyo A., Bendixson I., Bonatti C., Bonatti C., Bonatti C., Brunovský P., Brunovský P., Brunovský P., Brunovský P., Chen X.-Y., Crovisier S., Czaja R., Dancer E. N., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fusco G., Fusco G., Fusco G., Fusco G., Galaktianov V. A., GENEVIÈVE RAUGEL, Ghrist R. W., Guckenheimer J., Hale J. K., Hale J. K., Hardt R., Hayashi S., Henry D., Henry D. B., Hirsch M. W., Hirsch M. W., Hirsch M. W., Hirsch M. W., Jolly M., Joly R., Joly R., Joly R., Mallet-Paret J., Matano H., Matano H., Matano H., Newhouse S. E., Nickel K., Nitecki Z., Palis J., Peixoto M. M., Peixoto M. M., Poláčik P., Poláčik P., Poláčik P., Poláčik P., Prizzi M., Pugh C. C., Pugh C. C., Pugh C. C., Pujals E. R., Robinson C., Robinson J. C., Rocha C., Rocha C., ROMAIN JOLY, Ruelle D., Sandstede B., Smale S., Smale S., Smale S., Smale S., Smillie J., Smith H. L., Smith H. L., Sturm C., Wolfrum M.   +79 more
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Homoclinic Orbits In Slowly Varying Oscillators [PDF]

, 1987
We obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional flows that are perturbations of families of planar Hamiltonian systems. The perturbations may or may not depend explicitly on time.
Holmes, Philip, Wiggins, Stephen
core   +1 more source

Chaos and Shadowing Lemma for Autonomous Systems of Infinite Dimensions

, 2002
For finite-dimensional maps and periodic systems, Palmer rigorously proved Smale horseshoe theorem using shadowing lemma in 1988. For infinite-dimensional maps and periodic systems, such a proof was completed by Steinlein and Walther in 1990, and Henry ...
Li, Yanguang Charles
core   +1 more source

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
wiley   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

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