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IJBC
2007
57views more  IJBC 2007»
13 years 7 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 7 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 7 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
89views more  IJBC 2007»
13 years 7 months ago
Galton's quincunx: Random Walk or Chaos?
In 1873 Francis Galton had constructed a simple mechanical device where a ball is dropped vertically through a harrow of pins that deflect the ball sideways as it falls. Galton c...
Kevin Judd
IJBC
2007
137views more  IJBC 2007»
13 years 7 months ago
Patterns of oscillation in a Ring of Identical Cells with Delayed Coupling
We investigate the behaviour of a neural network model consisting of three neurons with delayed self and nearest-neighbour connections. We give analytical results on the existence...
Sharene D. Bungay, Sue Ann Campbell