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IJBC
2007
57views more  IJBC 2007»
14 years 9 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»
14 years 9 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»
14 years 9 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»
14 years 9 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»
14 years 9 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