Inapplicability of an auxiliary-system approach to chaotic oscillators with mutual-type coupling and complex networks

2013 ◽  
Vol 87 (6) ◽  
Author(s):  
Olga I. Moskalenko ◽  
Alexey A. Koronovskii ◽  
Alexander E. Hramov
Keyword(s):  
Complex Networks ◽  
System Approach ◽  
Auxiliary System ◽  
Chaotic Oscillators ◽  
Type Coupling

scholarly journals Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Weiyuan Ma ◽  
Changpin Li ◽  
Jingwei Deng
Keyword(s):  
Fractional Derivative ◽  
Complex Networks ◽  
Waiting Time ◽  
System Approach ◽  
Physical Space ◽  
Pinning Control ◽  
Auxiliary System ◽  
Generalized Synchronization ◽  
Fractional Systems ◽  
First Moment

In the famous continuous time random walk (CTRW) model, because of the finite lifetime of biological particles, it is sometimes necessary to temper the power law measure such that the waiting time measure has a convergent first moment. The CTRW model with tempered waiting time measure is the so-called tempered fractional derivative. In this article, we introduce the tempered fractional derivative into complex networks to describe the finite life span or bounded physical space of nodes. Some properties of the tempered fractional derivative and tempered fractional systems are discussed. Generalized synchronization in two-layer tempered fractional complex networks via pinning control is addressed based on the auxiliary system approach. The results of the proposed theory are used to derive a sufficient condition for achieving generalized synchronization of tempered fractional networks. Numerical simulations are presented to illustrate the effectiveness of the methods.

GENERALIZED SYNCHRONIZATION OF CHAOS IN RCL-SHUNTED JOSEPHSON JUNCTIONS BY UNIDIRECTIONALLY COUPLING

2010 ◽  
Vol 24 (29) ◽  
pp. 5675-5682 ◽  
Author(s):  
YU-LING FENG ◽  
XI-HE ZHANG ◽  
ZHI-GANG JIANG ◽  
KE SHEN
Keyword(s):  
Lyapunov Exponent ◽  
Numerical Simulations ◽  
Josephson Junctions ◽  
System Approach ◽  
Chaotic Synchronization ◽  
Auxiliary System ◽  
Generalized Synchronization ◽  
Maximum Condition ◽  
Two Systems

This paper investigates chaotic synchronization in the generalized sense in two resistive-capacitive-inductive-shunted (RCL-shunted) Josephson junctions (RCLSJJs) by using the means of unidirectionally coupling. The numerical simulations confirm that the generalized synchronization of chaos in these two systems can be achieved with a suitable coupling intensity when the maximum condition Lyapunov exponent (MCLE) is negative. Also, the auxiliary system approach is used to detect the existence of the generalized synchronization.

scholarly journals On applicability of auxiliary system approach in complex network with ring topology

2019 ◽  
pp. 143-152 ◽  
Author(s):  
Volodymyr Lynnyk ◽  
Branislav Rehak ◽  
Sergej Celikovsky
Keyword(s):  
Numerical Simulations ◽  
Complex Network ◽  
System Approach ◽  
Chaotic Systems ◽  
Auxiliary System ◽  
Generalized Synchronization ◽  
Ring Topology

The generalized synchronization of the complex network consisting of nodes being the chaotic systems via the auxiliary system approach is studied here. More specifically, the applicability of the auxiliary system approach to detect the generalized synchronization in the complex network consisting of unidirectional coupled chaotic systems in the cyclic chain is investigated. Such a complex network has the so-called ring topology. It is shown that the auxiliary system approach is useful for this purpose. The presented analysis is supported by the numerical simulations as well.

Complex and Dynamical Social Network Analysis as a Tool to Support a Sustainable Organizational Design and Management Process

2015 ◽  
Vol 2 (2) ◽  
pp. 23-34
Author(s):  
Carlo Drago ◽  
Giovanni Paolo Sellitto
Keyword(s):  
Social Network ◽  
Social Network Analysis ◽  
Network Analysis ◽  
Complex Networks ◽  
System Approach ◽  
Organizational Design ◽  
Business Case ◽  
Complex Network Theory ◽  
The Government ◽  
Viable System

In the Viable System Approach, the firm and its environment form a complex system, modelled as a network of networks. This paper explores how some tools coming from the research on Complex Networks are applicable to the firm and its environment in the context of Business Development Plan. A brief survey of the main concepts underlying the Viable System Approach (VSA) and of the very last results attained in the Complex Network Theory (CNT) is presented, focusing on the results regarding the dynamical processes on Complex Networks. Some correspondence between the main entities in the two frameworks will be derived, to highlight the possible contribution of CNT to the government and the management of the firm as a Viable System. This paper doesn't expect to be exhaustive because of the topic complexity and the still ongoing research's work. In the business case, the Social Network Analysis tools are applied into the business reengineering process.

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