scholarly journals Convergence Analysis for Initial Condition Estimation in Coupled Map Lattice Systems

2012 ◽  
Vol 60 (8) ◽  
pp. 4426-4432 ◽  
Author(s):  
Lanxin Lin ◽  
Minfen Shen ◽  
H. C. So ◽  
Chunqi Chang
Keyword(s):  
Convergence Analysis ◽  
Coupled Map Lattice ◽  
Initial Condition ◽  
Lattice Systems ◽  
Condition Estimation

scholarly journals On the stabilization of internally coupled map lattice systems

2004 ◽  
Vol 2004 (2) ◽  
pp. 345-356 ◽  
Author(s):  
Weihong Huang
Keyword(s):  
Steady State ◽  
Periodic Orbit ◽  
Local Stability ◽  
Sufficient Conditions ◽  
Coupled Map Lattice ◽  
Coupling Constants ◽  
Lattice Systems ◽  
Adjustment Mechanism ◽  
Adaptive Adjustment ◽  
Effectiveness And Efficiency

The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined byxi,t+1=G((1−αi−βi)xi,t+αixi+1,t+βixi−1,t), wheref:ℝ→ℝis a nonlinear map, andαandβare nonnegative coupling constants that satisfy the constraintαi+βi<1, for allx∈ℝ,i=1,2,…,n. Sufficient conditions and ranges of adjustment parameters that guarantee the local stability of a generic steady state have been provided. Numerical simulations have demonstrated the effectiveness and efficiency for this mechanism to stabilize the system to a generic unstable steady state or a periodic orbit.

Initial-Condition Estimation in Network Synchronization Processes: Algebraic and Graphical Characterizations of the Estimator

2012 ◽  
Vol 21 (4) ◽  
pp. 297-333 ◽  
Author(s):  
Mengran Xue ◽  
◽  
Enoch Yeung ◽  
Anurag Rai ◽  
Sandip Roy ◽  
...  
Keyword(s):  
Initial Condition ◽  
Network Synchronization ◽  
Condition Estimation

Triangulation Based Isogeometric Analysis of the Cahn-Hilliard Phase-Field Model

2018 ◽  
Author(s):  
Ruochun Zhang ◽  
Xiaoping Qian
Keyword(s):  
Convergence Analysis ◽  
Phase Field ◽  
Isogeometric Analysis ◽  
Field Model ◽  
Complex Geometry ◽  
Phase Field Model ◽  
Initial Condition ◽  
Isoperimetric Problems ◽  
Time Step ◽  
System Evolution

This paper presents the triangulation based isogeometric analysis of the Cahn–Hilliard phase-field model. We validate our method by convergence analysis, show detailed system evolution from a randomly perturbed initial condition and then discuss related isoperimetric problems. Lastly an example highlighting its efficacy in complex geometry is provided. Triangulation based isogeometric analysis shows time step stability and complex geometry adaptability in our experiments.

scholarly journals Initial condition estimation from coupled map lattices based on symbolic vector dynamics

2007 ◽  
Vol 56 (7) ◽  
pp. 3766
Author(s):  
Wang Kai ◽  
Pei Wen-Jiang ◽  
Xia Hai-Shan ◽  
He Zhen-Ya
Keyword(s):  
Coupled Map Lattices ◽  
Initial Condition ◽  
Condition Estimation
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