Results 81 to 90 of about 717,589 (231)

Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria [PDF]

, 2012
David Blázquez-Sanz, Kazuyuki Yagasaki
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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

Shil’nikov chaos control using homoclinic orbits and the Newhouse region [PDF]

, 2006
Sadataka Furui, Shohei Niiya
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Computing connecting orbits to infinity associated with a homoclinic flip bifurcation

, 2020
Andrus Giraldo, Bernd Krauskopf, Hinke M. Osinga   +2 more
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Tightening Poincaré–Bendixson theory after counting separately the fixed points on the boundary and interior of a planar region

Electronic Journal of Qualitative Theory of Differential Equations
This paper tightens the classical Poincaré–Bendixson theory for a positively invariant, simply-connected compact set $\mathcal M$ in a continuously differentiable planar vector field by further characterizing for any point $p\in \mathcal M$, the ...
Pouria Ramazi, Ming Cao, Jacquelien Scherpen   +2 more
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Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system. [PDF]

Sci Rep, 2023
Wang H, Ke G, Pan J, Su Q.
europepmc   +1 more source

A new class of 3-dimensional piecewise affine systems with homoclinic orbits

, 2016
Tiantian Wu, Xiao‐Song Yang
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Some remarks on the Melnikov function

Electronic Journal of Differential Equations, 2002
We study the Melnikov function associated with a periodic perturbation of a differential equation having a homoclinic orbit. Our main interest is the characterization of perturbations that give rise to vanishing or non-vanishing of the Melnikov function.
Flaviano Battelli, Michal Feckan
doaj  

Nonlinear mechanism for the enhanced bursting activities induced by fast inhibitory autapse and reduced activities by fast excitatory autapse. [PDF]

Cogn Neurodyn, 2023
Qi C, Li Y, Gu H, Yang Y.
europepmc   +1 more source

Dynamics near homoclinic orbits to a saddle in four-dimensional systems with a first integral and a discrete symmetry [PDF]

Sajjad Bakrani
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