Intermittency at the Boundary of Generalized Synchronization in Mutually Coupled Systems with Complex Attractor Topology

2019 ◽  
Vol 64 (3) ◽  
pp. 302-305
Author(s):  
O. I. Moskalenko ◽  
A. A. Koronovskii ◽  
V. A. Khanadeev
Keyword(s):  
Coupled Systems ◽  
Generalized Synchronization

scholarly journals Метод определения характеристик перемежающейся обобщенной синхронизации, основанный на вычислении вероятности наблюдения синхронного режима

2022 ◽  
Vol 48 (2) ◽  
pp. 3
Author(s):  
О.И. Москаленко ◽  
А.А. Короновский ◽  
А.О. Сельский ◽  
Е.В. Евстифеев
Keyword(s):  
Chaotic Synchronization ◽  
Coupled Systems ◽  
The Other ◽  
Generalized Synchronization ◽  
Synchronization Regime

Method to define the characteristic phases in the behavior of unidirectionally coupled systems being near the boundary of the generalized chaotic synchronization regime onset, based on calculation of the probability of the synchronous regime observation in ensemble of coupled systems is proposed. Using the example of unidirectionally coupled Rössler systems in the band chaos regime we show its efficiency in comparison with the other known methods for detection the characteristics of intermittent generalized synchronization.

Impulsive Control and Practical Generalized Synchronization of a Class of Uncertain Chaotic System with a Given Manifold

2015 ◽  
Vol 782 ◽  
pp. 296-301
Author(s):  
Jian Xu Ding ◽  
Cheng Wang ◽  
Yong Bi
Keyword(s):  
Differential Equations ◽  
Numerical Simulations ◽  
Chaotic System ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Coupled Systems ◽  
Generalized Synchronization

In this paper, we study practical generalized synchronization of uncertain chaotic system with a given manifold Y = H(X). We construct a class of the bi-directionally coupled chaotic systems with impulsive control, and demonstrate theoretically that the bi-coupled systems could realize practical generalized synchronization on the basis of stability theory of impulsive differential equations. Numerical simulations with super-chaotic system are provided to further demonstrate the effectiveness and generality of our approach.

scholarly journals Перемежающееся поведение на границе обобщенной синхронизации во взаимно связанных системах со сложной топологией аттрактора

2019 ◽  
Vol 89 (3) ◽  
pp. 338
Author(s):  
О.И. Москаленко ◽  
А.А. Короновский ◽  
В.А. Ханадеев
Keyword(s):  
Chaotic Attractor ◽  
Coupled Systems ◽  
Generalized Synchronization ◽  
Imaging Point ◽  
Supercriticality Parameter

AbstractThe mechanisms of occurrence and characteristics of intermittency at the boundary of generalized synchronization in mutually coupled systems with complex (two-sheet) chaotic attractor topology are investigated. It has been established that the occurrence of intermittency in this case is due to the imaging point jump from one sheet of the chaotic attractor to another. At the same time, distributions of laminar phase durations and dependences of average laminar phase durations on the supercriticality parameter obey exponential laws.

Terrorist teams as loosely coupled systems.

2018 ◽  
Vol 73 (4) ◽  
pp. 491-503 ◽  
Author(s):  
Matthias Spitzmuller ◽  
Guihyun Park
Keyword(s):  
Coupled Systems ◽  
Loosely Coupled Systems ◽  
Loosely Coupled

scholarly journals A Finite Element Approach to the Analysis of Rotating Bladed-Disk Assemblies Coupled With Flexible Shaft

1994 ◽  
Author(s):  
Wen Zhang ◽  
Wenliang Wang ◽  
Hao Wang ◽  
Jiong Tang
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Coupled System ◽  
Equation Of Motion ◽  
Coupled Systems ◽  
The Finite Element Method ◽  
Bladed Disk ◽  
Modal Synthesis ◽  
Element Approach ◽  
Final Equation

A method for dynamic analysis of flexible bladed-disk/shaft coupled systems is presented in this paper. Being independant substructures first, the rigid-disk/shaft and each of the bladed-disk assemblies are analyzed separately in a centrifugal force field by means of the finite element method. Then through a modal synthesis approach the equation of motion for the integral system is derived. In the vibration analysis of the rotating bladed-disk substructure, the geometrically nonlinear deformation is taken into account and the rotationally periodic symmetry is utilized to condense the degrees of freedom into one sector. The final equation of motion for the coupled system involves the degrees of freedom of the shaft and those of only one sector of each of the bladed-disks, thereby reducing the computer storage. Some computational and experimental results are given.

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