Results 111 to 120 of about 8,908 (255)

Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems [PDF]

, 1989
Shui-Nee Chow, Bo Deng
openalex   +1 more source

Homoclinic orbits for a class of Hamiltonian systems

Differential and Integral Equations, 1992
The Hamiltonian system under consideration is governed by equations of the form \[ \ddot q+V_ q(t,q)=\ddot q-L(t)q+W_ q(t,q)=0, \] where \(L(t)\) is a positive definite matrix and further technical conditions, among other things, ensure that the origin is a local maximum of \(V\) for all \(t\).
Omana, W., Willem, M.
openaire   +3 more sources

Bifurcations of homoclinic orbits in bimodal maps

Physical Review E, 1994
We discuss the bifurcation structure of homoclinic orbits in bimodal one dimensional maps. The universal structure of these bifurcations with singular bifurcation points and the web of bifurcation lines through the parameter space are described. The bifurcations depend on two parameters (codimension 2 bifurcations).
openaire   +4 more sources

Homoclinic orbits in 3D dissipative systems [PDF]

Scientific Technical Review, 2014
The paper deals with a variational system corresponding to a three-dimensional dynamic system. The characteristic equation of the variational system depends on partial solutions. The matrix of the right-hand part of the variational system is a sum of two
Martynyuk Andreevich Anatoly, Nikitina Vladimirovna Nelli   +1 more
doaj  

Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell Buckling [PDF]

, 1999
Gabriel J. Lord, Alan R. Champneys, G. W. Hunt   +2 more
openalex   +1 more source

Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems

Open Mathematics
Consider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
doaj   +1 more source

Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]

Proc Natl Acad Sci U S A, 2023
Pinsky T.
europepmc   +1 more source

Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices [PDF]

, 2000
Tassos Bountis, H.W. Capel, M. Kollmann, John Ross, J.M. Bergamin, J.P. van der Weele   +5 more
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Gravity waves from homoclinic orbits of compact binaries [PDF]

, 2000
Janna Levin, Rachel K. O’Reilly, Edmund J. Copeland   +2 more
openalex   +1 more source

Encryption of Color Images Based on Chaotic Attractors Generated by ODE Systems Containing Module Nonlinearities

Journal of Optimization, Differential Equations and Their Applications
The main objective of this work is to construct an algorithm for modeling chaotic attractors using special neural ODEs with antisymmetric matrices (antisymmetric neural ODEs) and modular power nonlinearities.
Vasiliy Ye. Belozyorov, Natalia A. Guk, Danylo I. Yehoshkin   +2 more
doaj   +1 more source