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SIAMADS
2010
114views more  SIAMADS 2010»
13 years 6 months ago
The Abelian Hopf H mod K Theorem
We study the symmetries of periodic solutions from Hopf bifurcation in systems with finite abelian symmetries. Our main result, the Abelian Hopf H mod K Theorem, gives necessary a...
Natasha Filipski, Martin Golubitsky
SIAMAM
2000
95views more  SIAMAM 2000»
13 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...
TNN
2008
106views more  TNN 2008»
13 years 11 months ago
Stability and Hopf Bifurcation of a General Delayed Recurrent Neural Network
In this paper, stability and bifurcation of a general recurrent neural network with multiple time delays is considered, where all the variables of the network can be regarded as bi...
Wenwu Yu, Jinde Cao, Guanrong Chen