scholarly journals A numerical renormalization method for quasi–conservative periodic attractors

2020 ◽  
Vol 7 (2) ◽  
pp. 461-468
Author(s):  
Corrado Falcolini ◽  
◽  
Laura Tedeschini-Lalli
Keyword(s):  
Periodic Attractors ◽  
Renormalization Method

Renormalization method for inhomogeneity correction of MR images

2001 ◽  
Author(s):  
Dongqing Chen ◽  
Lihong Li ◽  
Daeki Yoon ◽  
J. H. Lee ◽  
Zhengrong Liang
Keyword(s):  
Mr Images ◽  
Inhomogeneity Correction ◽  
Renormalization Method

Converging evidence in support of common dynamical principles for speech and movement coordination

1984 ◽  
Vol 246 (6) ◽  
pp. R928-R935 ◽  
Author(s):  
J. A. Kelso ◽  
B. Tuller
Keyword(s):  
Dynamical System ◽  
Speech Production ◽  
Limit Cycle ◽  
Movement Coordination ◽  
Rate Dependent ◽  
Mode Of Operation ◽  
Periodic Attractors ◽  
Point Attractor ◽  
Production Research ◽  
Dynamical Mode

We suggest that a principled analysis of language and action should begin with an understanding of the rate-dependent, dynamical processes that underlie their implementation. Here we present a summary of our ongoing speech production research, which reveals some striking similarities with other work on limb movements. Four design themes emerge for articulatory systems: 1) they are functionally rather than anatomically specific in the way they work; 2) they exhibit equifinality and in doing so fall under the generic category of a dynamical system called point attractor; 3) across transformations they preserve a relationally invariant topology; and 4) this, combined with their stable cyclic nature, suggests that they can function as nonlinear, limit cycle oscillators (periodic attractors). This brief inventory of regularities, though not mean to be inclusive, hints strongly that speech and other movements share a common, dynamical mode of operation.

NEW PHENOMENA IN THE NEIGHBORHOOD OF THE CODIMENSION-TWO BIFURCATION IN THE TWIN-WELL DUFFING OSCILLATOR

2000 ◽  
Vol 10 (06) ◽  
pp. 1367-1381 ◽  
Author(s):  
W. SZEMPLIŃSKA-STUPNICKA ◽  
A. ZUBRZYCKI ◽  
E. TYRKIEL
Keyword(s):  
Bifurcation Point ◽  
Chaotic Attractor ◽  
Duffing Oscillator ◽  
Codimension Two ◽  
Periodic Attractors ◽  
The Cross ◽  
Complex Phenomena ◽  
New Phenomena ◽  
Secondary Bifurcations ◽  
Codimension Two Bifurcation

In this paper, we study effects of the secondary bifurcations in the neighborhood of the primary codimension-two bifurcation point. The twin-well potential Duffing oscillator is considered and the investigations are focused on the new scenario of destruction of the cross-well chaotic attractor. The phenomenon belongs to the category of the subduction scenario and relies on the replacement of the cross-well chaotic attractor by a pair of unsymmetric 2T-periodic attractors. The exploration of a sequence of accompanying bifurcations throws more light on the complex phenomena that may occur in the neighborhood of the primary codimension-two bifurcation point. It shows that in the close vicinity of the point there appears a transition zone in the system parameter plane, the zone which separates the two so-far investigated scenarios of annihilation of the cross-well chaotic attractor.

Study of Scale-Down Method for Dense Grid Points

2013 ◽  
Vol 734-737 ◽  
pp. 3011-3015
Author(s):  
Sheng Yun Yu ◽  
Chang He Song ◽  
Hai Ying Xu
Keyword(s):  
Numerical Simulation ◽  
Geological Model ◽  
Three Dimension ◽  
Reservoir Heterogeneity ◽  
Geological Models ◽  
Scale Down ◽  
Dense Grid ◽  
Grid Points ◽  
Renormalization Method

The data of three-dimension geological models are very large, this kind of three -dimension geological model can not be directly used for numerical simulation and must be scaled down. The reservoir parameters, especially permeability, are scaled down by the simple renormalization method. The interbeds and parts of strong heterogeneity are filled back. The simple renormalization method is good through evaluation , not only it reduces the number of grid points, but also retains reservoir heterogeneity.

scholarly journals Discrimination of singleton and periodic attractors in Boolean networks

Automatica ◽  
2017 ◽  
Vol 84 ◽  
pp. 205-213 ◽  
Author(s):  
Xiaoqing Cheng ◽  
Takeyuki Tamura ◽  
Wai-Ki Ching ◽  
Tatsuya Akutsu
Keyword(s):  
Boolean Networks ◽  
Periodic Attractors
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