Coupling strength computation for chaotic synchronization of complex networks with multi-scroll attractors

2016 ◽  
Vol 275 ◽  
pp. 305-316 ◽  
Author(s):  
A.G. Soriano-Sánchez ◽  
C. Posadas-Castillo ◽  
M.A. Platas-Garza ◽  
C. Cruz-Hernández ◽  
R.M. López-Gutiérrez
Keyword(s):  
Complex Networks ◽  
Coupling Strength ◽  
Chaotic Synchronization

SYNCHRONIZING CHAOTIC ATTRACTORS OF CHUA'S CANONICAL CIRCUIT: THE CASE OF UNCERTAINTY IN CHAOS SYNCHRONIZATION

2006 ◽  
Vol 16 (07) ◽  
pp. 1961-1976 ◽  
Author(s):  
I. M. KYPRIANIDIS ◽  
A. N. BOGIATZI ◽  
M. PAPADOPOULOU ◽  
I. N. STOUBOULOS ◽  
G. N. BOGIATZIS ◽  
...  
Keyword(s):  
Coupling Strength ◽  
Chaos Synchronization ◽  
Phase Synchronization ◽  
Initial Conditions ◽  
Chaotic Synchronization ◽  
Chaotic Attractors ◽  
Coexisting Attractors

In this paper, we have studied the dynamics of two identical resistively coupled Chua's canonical circuits and have found that it is strongly affected by initial conditions, coupling strength and the presence of coexisting attractors. Depending on the coupling variable, chaotic synchronization has been observed both numerically and experimentally. Anti-phase synchronization has also been studied numerically clarifying some aspects of uncertainty in chaos synchronization.

DIRECTLY ADJUSTING NODE'S IMPACTS TO REALIZE THE SYNCHRONIZATION OF COMPLEX NETWORKS

2010 ◽  
Vol 21 (06) ◽  
pp. 785-793 ◽  
Author(s):  
HAIFENG ZHANG ◽  
MING ZHAO ◽  
BINGHONG WANG
Keyword(s):  
Complex Networks ◽  
Numerical Simulations ◽  
Coupling Strength ◽  
Total Output ◽  
Output Coupling ◽  
Total Input

Most previous studies on the synchronization of complex networks were based on that each node managed to adjust its neighbors coupling strength to enhance synchronizability, i.e. each node tried to adjust its total input coupling strength in a proper way and the neighbor nodes were passively adjusted. From practical and engineering viewpoints, each node should manage to adjust its total output coupling strength to realize synchronization. Moreover, each node's total output coupling strength can be distributed to its neighbors with different proportions. In view of the above reasons, in this paper, we study the synchronization of complex networks under the assumptions that the total output coupling strength of each node is voluntarily/directly distributed to its neighbors with different proportions. What is more, we assume that the total output coupling strength of each node can be nonlinear to its degree. Our analysis and numerical simulations show that the synchronizability can be enhanced dramatically when the parameters are properly selected.

scholarly journals Non-Markovianity over Ensemble Averages in Quantum Complex Networks

2017 ◽  
Vol 24 (04) ◽  
pp. 1740018 ◽  
Author(s):  
Johannes Nokkala ◽  
Sabrina Maniscalco ◽  
Jyrki Piilo
Keyword(s):  
Spectral Density ◽  
Harmonic Oscillator ◽  
Complex Networks ◽  
Transport Properties ◽  
Network Structure ◽  
Coupling Strength ◽  
Large Impact ◽  
Random Networks ◽  
Quantum Harmonic Oscillator ◽  
Different Types

We consider bosonic quantum complex networks as structured finite environments for a quantum harmonic oscillator and investigate the interplay between the network structure and its spectral density, excitation transport properties and non-Markovianity. After a review of the formalism used, we demonstrate how even small changes to the network structure can have a large impact on the transport of excitations. We then consider the non-Markovianity over ensemble averages of several different types of random networks of identical oscillators and uniform coupling strength. Our results show that increasing the number of interactions in the network tends to suppress the average non-Markovianity. This suggests that tree networks are the random networks optimizing this quantity.

SYNCHRONIZATION AND ASYNCHRONIZATION IN A LATTICE OF COUPLED LORENZ-TYPE MAPS

2006 ◽  
Vol 16 (02) ◽  
pp. 269-280 ◽  
Author(s):  
WEN-WEI LIN ◽  
SHIH-FENG SHIEH ◽  
YI-QIAN WANG
Keyword(s):  
Phase Space ◽  
Chaotic System ◽  
Coupling Strength ◽  
Dense Subset ◽  
Measure Zero ◽  
Chaotic Synchronization ◽  
Full Measure ◽  
Discontinuous Function

In this paper, we study synchronization and asynchronization in a Coupled Lorenz-type Map Lattice (CLML). Lorenz-type map forms a chaotic system with an appropriate discontinuous function. We prove that in a CLML with suitable coupling strength, there is a subset of full measure in the phase space such that chaotic synchronization occurs for any orbit starting from this subset and there is a dense subset of measure zero in the phase space such that synchronization will never occur. We also provide numerical observations to explain our results.

Chaotic synchronization of regular complex networks with fractional-order oscillators

2012 ◽  
Author(s):  
S. Y. Angulo-Guzman ◽  
C. Posadas-Castillo ◽  
D. A. Diaz-Romero ◽  
R. M. Lopez-Gutierrez ◽  
C. Cruz-Hernandez
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Chaotic Synchronization

scholarly journals Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Song Liu ◽  
Xianfeng Zhou ◽  
Wei Jiang ◽  
Yizheng Fan
Keyword(s):  
Complex Networks ◽  
Numerical Simulations ◽  
Coupling Strength ◽  
Weighted Graph ◽  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Exponential Rate ◽  
General Graphs ◽  
Theoretical Results ◽  
Variable Coupling

We investigate the synchronization in complex dynamical networks, where the coupling configuration corresponds to a weighted graph. An adaptive synchronization method on general coupling configuration graphs is given. The networks may synchronize at an arbitrarily given exponential rate by enhancing the updated law of the variable coupling strength and achieve synchronization more quickly by adding edges to original graphs. Finally, numerical simulations are provided to illustrate the effectiveness of our theoretical results.

CHAOTIC SYNCHRONIZATION OF HYBRID STATE ON COMPLEX NETWORKS

2010 ◽  
Vol 21 (04) ◽  
pp. 457-469 ◽  
Author(s):  
FUZHONG NIAN ◽  
XINGYUAN WANG
Keyword(s):  
Theoretical Analysis ◽  
Complex Networks ◽  
Dynamic System ◽  
Numerical Simulations ◽  
Chaotic Synchronization ◽  
Point Of View ◽  
Hybrid State ◽  
Hybrid Matrix ◽  
Error Dynamic ◽  
Physical Quantities

In real application, the measurable physical quantities always are hybrid states instead of the states itself. From the point of view of practice, the chaotic synchronization of hybrid state on complex networks was investigated in this paper. Compared with general synchronization method, a new error dynamic system was constructed. And the controller which is determined by the error of hybrid states and hybrid matrix was designed. The theoretical analysis and proof were given, as well as numerical simulations. The results indicate that our method is effective and feasible.

Comparison of Synchronizing Speed Limitations of Networked Lorenz Oscillators when Coupling Strength Tends to Infinity

2011 ◽  
Vol 128-129 ◽  
pp. 553-556
Author(s):  
Ge Qun Liu ◽  
Xiao Ming Xu
Keyword(s):  
Complex Networks ◽  
Coupling Strength ◽  
Finite Time ◽  
Time Synchronization ◽  
State Variables ◽  
State Variable ◽  
Approach Infinity ◽  
Variable Coupling

Limitation of synchronizing speed is a key feature for finite time synchronization of complex networks. We studied such limitations as coupling strength tends to infinity for networks with Lorenz oscillator as nodes under conditions that nodes were coupled in different ways. It was found that if nodes are coupled by only one state variable, coupling by second variable has the highest synchronizing speed. If nodes are coupled by two state variables, coupling by second and third variables has the highest synchronizing speed. If nodes are coupled by all three variables, the limitation of synchronizing speed will approach infinity.

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