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» Local bifurcations of the Chen System
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IJBC
2002
54views more  IJBC 2002»
13 years 5 months ago
Local bifurcations of the Chen System
Jinhu Lu, Tianshou Zhou, Guanrong Chen, Suochun Zh...
TNN
2008
106views more  TNN 2008»
13 years 5 months ago
Stability and Hopf Bifurcation of a General Delayed Recurrent Neural Network
In this paper, stability and bifurcation of a general recurrent neural network with multiple time delays is considered, where all the variables of the network can be regarded as bi...
Wenwu Yu, Jinde Cao, Guanrong Chen
IJBC
2008
112views more  IJBC 2008»
13 years 5 months ago
Computation and Visualization of bifurcation Surfaces
The localization of critical parameter sets called bifurcations is often a central task of the analysis of a nonlinear dynamical system. Bifurcations of codimension 1 that can be ...
Dirk Stiefs, Thilo Gross, Ralf Steuer, Ulrike Feud...
CASC
2011
Springer
212views Mathematics» more  CASC 2011»
12 years 5 months ago
Semi-algebraic Description of the Equilibria of Dynamical Systems
Abstract. We study continuous dynamical systems defined by autonomous ordinary differential equations, themselves given by parametric rational functions. For such systems, we pro...
Changbo Chen, Marc Moreno Maza
IJBC
2010
92views more  IJBC 2010»
13 years 3 months ago
Discretizing bifurcation Diagrams Near codimension Two Singularities
We consider parameter-dependent, continuous-time dynamical systems under discretizations. It is shown that fold-Hopf singularities are O(hp)-shifted and turned into fold-Neimark-S...
Páez Chávez Joseph