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IJBC
2007
57views more  IJBC 2007»
13 years 10 months ago
Nonchaotic and Chaotic Behavior in Three-Dimensional Quadratic Systems: Five-One Conservative Cases
In this paper we study the nonchaotic and chaotic behavior of all 3D conservative quadratic ODE systems with five terms on the right-hand side and one nonlinear term (5-1 systems...
Jack Heidel, Fu Zhang
IJBC
2007
77views more  IJBC 2007»
13 years 10 months ago
Stability Computations for Nilpotent Hopf bifurcations in Coupled Cell Systems
Vanderbauwhede and van Gils, Krupa, and Langford studied unfoldings of bifurcations with purely imaginary eigenvalues and a nonsemisimple linearization, which generically occurs i...
M. Golubitsky, M. Krupa
IJBC
2007
54views more  IJBC 2007»
13 years 10 months ago
Impact Dynamics of Large Dimensional Systems
In this paper we present a model of impact dynamics in large dimensional systems. We describe a hybrid method, based on graph theory and probability theory, which enables us quali...
Martin E. Homer, S. John Hogan
IJBC
2007
72views more  IJBC 2007»
13 years 10 months ago
Centrality Estimation in Large Networks
Centrality indices are an essential concept in network analysis. For those based on shortest-path distances the computation is at least quadratic in the number of nodes, since it ...
Ulrik Brandes, Christian Pich
IJBC
2002
65views more  IJBC 2002»
13 years 10 months ago
On the Templates Corresponding to Cycle-Symmetric Connectivity in Cellular Neural Networks
In the architecture of cellular neural networks (CNN), connections among cells are built on linear coupling laws. These laws are characterized by the so-called templates which exp...
Chih-Wen Shih, Chih-Wen Weng