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DM
2000
89views more  DM 2000»
14 years 9 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 9 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 9 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 9 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 9 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