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DM
2000
89views more  DM 2000»
14 years 11 months ago
Some counting problems related to permutation groups
This paper discusses investigations of sequences of natural numbers which count the orbits of an in nite permutation group on n-sets or n-tuples. It surveys known results on the g...
Peter J. Cameron
SIAMAM
2000
95views more  SIAMAM 2000»
14 years 11 months ago
Hopf Bifurcation Subject to a Large Delay in a Laser System
Hopf bifurcation theory for an oscillator subject to a weak feedback but a large delay is investigated for a specific laser system. The problem is motivated by semiconductor laser ...
Athanasios Gavrielides, Didier Pieroux, Thomas Ern...
SIAMAM
2000
71views more  SIAMAM 2000»
14 years 11 months ago
Wave-Block in Excitable Media Due to Regions of Depressed Excitability
We study propagation failure using the one-dimensional scalar bistable equation with a passive "gap" region. By applying comparison principles for this type of equation, ...
James P. Keener, Timothy J. Lewis
SIAMCO
2000
110views more  SIAMCO 2000»
14 years 11 months ago
On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convex potential. The differential system is defined in a rea...
Felipe Alvarez
SIAMCO
2000
75views more  SIAMCO 2000»
14 years 11 months ago
Generic Simplicity of the Spectrum and Stabilization for a Plate Equation
In this work we prove the generic simplicity of the spectrum of the clamped plate equation in a bounded regular domain of Rd. That is, given Rd, we show that there exists an arbi...
Jaime H. Ortega, Enrique Zuazua