scholarly journals Bubbling route to strange nonchaotic attractor in a nonlinear seriesLCRcircuit with a nonsinusoidal force

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
D. V. Senthilkumar ◽  
K. Srinivasan ◽  
K. Thamilmaran ◽  
M. Lakshmanan
Keyword(s):  
Strange Nonchaotic Attractor

Birth of a strange nonchaotic attractor: A renormalization group analysis

1995 ◽  
Vol 51 (3) ◽  
pp. R1629-R1632 ◽  
Author(s):  
Sergey P. Kuznetsov ◽  
Arkady S. Pikovsky ◽  
Ulrike Feudel
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Renormalization Group Analysis ◽  
Strange Nonchaotic Attractor

Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections

2017 ◽  
Vol 18 (5) ◽  
pp. 371-384 ◽  
Author(s):  
Luis Alberto Quezada-Téllez ◽  
Salvador Carrillo-Moreno ◽  
Oscar Rosas-Jaimes ◽  
José Job Flores-Godoy ◽  
Guillermo Fernández-Anaya
Keyword(s):  
Dynamic Analysis ◽  
Complex Variables ◽  
Bifurcation Diagrams ◽  
Poincaré Maps ◽  
Five Dimensions ◽  
Strange Nonchaotic Attractor ◽  
The Real ◽  
Poincare Maps ◽  
Extended Complex ◽  
Six Dimensions

AbstractIn this article, extended complex Lü models (ECLMs) are proposed. They are obtained by substituting the real variables of the classical Lü model by complex variables. These projections, spanning from five dimensions (5D) and six dimensions (6D), are studied in their dynamics, which include phase spaces, calculations of eigenvalues and Lyapunov’s exponents, Poincaré maps, bifurcation diagrams, and related analyses. It is shown that in the case of a 5D extension, we have obtained chaotic trajectories; meanwhile the 6D extension shows quasiperiodic and hyperchaotic behaviors and it exhibits strange nonchaotic attractor (SNA) features.

Network stabilization on unstable manifolds: Computing with middle layer transients

2001 ◽  
Vol 24 (5) ◽  
pp. 822-823
Author(s):  
Arnold J. Mandell ◽  
Karen A. Selz
Keyword(s):  
Neural Network ◽  
Fractal Dimension ◽  
Fixed Points ◽  
Middle Layer ◽  
Chaotic Attractors ◽  
Control Of Chaos ◽  
Strange Nonchaotic Attractor ◽  
Definitive Evidence ◽  
Unstable Manifolds

Studies have failed to yield definitive evidence for the existence and/or role of well-defined chaotic attractors in real brain systems. Tsuda's transients stabilized on unstable manifolds of unstable fixed points using mechanisms similar to Ott's algorithmic “control of chaos” are demonstrable. Grebogi's order in preserving “strange nonchaotic” attractor with fractal dimension but Lyapounov is suggested for neural network tasks dependent on sequence.

Observation of a strange nonchaotic attractor in a neon glow discharge

1997 ◽  
Vol 55 (3) ◽  
pp. 3769-3772 ◽  
Author(s):  
W. X. Ding ◽  
H. Deutsch ◽  
A. Dinklage ◽  
C. Wilke
Keyword(s):  
Glow Discharge ◽  
Strange Nonchaotic Attractor ◽  
Neon Glow Discharge

NOTE ON STRANGE NONFRACTAL ATTRACTORS

2008 ◽  
Vol 18 (12) ◽  
pp. 3657-3663
Author(s):  
E. DEL RIO ◽  
J. M. DONOSO
Keyword(s):  
Fractal Nature ◽  
Strange Nonchaotic Attractor

We present a case of a strange nonchaotic attractor (SNA) which is also nonfractal and continuous. This provides a counterexample to the widely extended assumption about the intrinsic fractal nature of any SNA. We also show that the most useful techniques to characterize the SNA fail for this case.

scholarly journals On the definition of strange nonchaotic attractor

2009 ◽  
Vol 206 ◽  
pp. 23-39 ◽  
Author(s):  
Lluís Alsedà ◽  
Sara Costa
Keyword(s):  
Strange Nonchaotic Attractor ◽  
Definition Of
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