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IJBC
2008
70views more  IJBC 2008»
13 years 9 months ago
Branched Manifolds, knotted Surfaces and Dynamical Systems
: The main goal of this paper is to introduce part of a new approach of proving the existence of a nontrivial knot on any embedded template. This proof in branched 2-manifold case,...
W. Chen, Stephen P. Banks
IJBC
2006
82views more  IJBC 2006»
13 years 9 months ago
How Crucial is Small World Connectivity for Dynamics?
We study the dynamical behaviour of the collective field of chaotic systems on small world lattices. Coupled neuronal systems as well as coupled logistic maps are investigated. We...
Prashant M. Gade, Sudeshna Sinha
IJBC
2006
91views more  IJBC 2006»
13 years 9 months ago
Limit Cycles for Generalized Abel Equations
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a class of one-dimensional non-autonomous differential equations: those with the r...
Armengol Gasull, Antoni Guillamon
IJBC
2006
49views more  IJBC 2006»
13 years 9 months ago
Bifurcation Analysis of a Circuit-Related Generalization of the Shipmap
In this paper a three-parameter bifurcation analysis of a piecewise-affine map is carried out. Such a map derives from a well-known map which has good features from its circuit im...
Federico Bizzarri, Marco Storace, Laura Gardini
IJBC
2006
80views more  IJBC 2006»
13 years 9 months ago
Return-Map Cryptanalysis Revisited
As a powerful cryptanalysis tool, the method of return-map attacks can be used to extract secret messages masked by chaos in secure communication schemes. Recently, a simple defen...
Shujun Li, Guanrong Chen, Gonzalo Álvarez