Perturbation of a stable invariant torus of a dynamical system

1972 ◽  
Vol 23 (1) ◽  
pp. 117-123 ◽  
Author(s):  
V. L. Golets
Keyword(s):  
Dynamical System ◽  
Invariant Torus ◽  
Stable Invariant ◽  
Stable Invariant Torus

Attractability of trajectories from an exponentially stable invariant torus

1984 ◽  
Vol 35 (3) ◽  
pp. 237-241
Author(s):  
S. O. Baekova
Keyword(s):  
Invariant Torus ◽  
Exponentially Stable ◽  
Stable Invariant ◽  
Stable Invariant Torus

Bifurcation of a stable invariant torus from an equilibrium

1990 ◽  
Vol 48 (1) ◽  
pp. 632-635 ◽  
Author(s):  
Yu. N. Bibikov
Keyword(s):  
Invariant Torus ◽  
Stable Invariant ◽  
Stable Invariant Torus

scholarly journals On preservation of an exponentially stable invariant torus

2015 ◽  
Vol 63 (1) ◽  
pp. 215-222 ◽  
Author(s):  
Mykola Perestyuk ◽  
Petro Feketa
Keyword(s):  
Simple Structure ◽  
Linear Extensions ◽  
Qualitative Behaviour ◽  
Small Perturbations ◽  
One Dimensional ◽  
Exponentially Stable ◽  
Invariant Toroidal Manifold ◽  
Dimensional Dynamical System ◽  
Stable Invariant ◽  
Stable Invariant Torus

Abstract New conditions of the preservation of an exponentially stable invariant toroidal manifold of linear extension of one-dimensional dynamical system on torus under small perturbations in ω-limit set are established. This approach is applied to the investigation of the qualitative behaviour of solutions of linear extensions of dynamical systems with simple structure of limit sets.

Investigation of a discrete dynamical system in a neighborhood of the invariant torus

1995 ◽  
Vol 47 (12) ◽  
pp. 1916-1927
Author(s):  
M. V. Samoilenko
Keyword(s):  
Dynamical System ◽  
Invariant Torus ◽  
Discrete Dynamical System

Splitting of a dynamical system in the neighborhood of a stable invariant manifold

1978 ◽  
Vol 29 (4) ◽  
pp. 427-431 ◽  
Author(s):  
A. M. Samoilenko ◽  
A. V. Dvorak
Keyword(s):  
Dynamical System ◽  
Invariant Manifold ◽  
Stable Invariant

Chaos and Creativity: The Psique as a Complex Dynamical System Creativiy and Arquetipal Psychology

2012 ◽  
Author(s):  
Magaly Villaobos ◽  
Yolanda Ng Lee ◽  
Maria Elena Gutierrez
Keyword(s):  
Dynamical System ◽  
Complex Dynamical System

Spontaneous pattern classification by a dynamical system

1987 ◽  
Vol 48 (12) ◽  
pp. 2027-2035 ◽  
Author(s):  
W. Banzhaf
Keyword(s):  
Dynamical System ◽  
Pattern Classification
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