http://alanrendall.wordpress.com/2010/01/10/hopf-bifurcations-and-lyapunov-numbers/ A mathematician thinks aloud Thu, 09 May 2013 07:10:22 +0000 hourly 1 http://wordpress.com/ http://alanrendall.wordpress.com/2010/01/10/hopf-bifurcations-and-lyapunov-numbers/#comment-746 Fri, 06 Jan 2012 06:19:13 +0000 http://alanrendall.wordpress.com/?p=796#comment-746 [...] the unique stationary solution for given parameter values and the existence of periodic solutions. Hopf bifurcations play a role. The model is closely related to the Brusselator and techniques of proof can be [...]

]]> http://alanrendall.wordpress.com/2010/01/10/hopf-bifurcations-and-lyapunov-numbers/#comment-685 Sat, 19 Nov 2011 11:59:18 +0000 http://alanrendall.wordpress.com/?p=796#comment-685 [...] setting and causes this system to reduce to the famous Brusselator, which I have commented on elsewhere. Thus the model can be thought of as a kind of generalized Brusselator and indeed it exhibits [...]

]]> http://alanrendall.wordpress.com/2010/01/10/hopf-bifurcations-and-lyapunov-numbers/#comment-338 Wed, 24 Feb 2010 13:22:28 +0000 http://alanrendall.wordpress.com/?p=796#comment-338 [...] blog I have already discussed a number of aspects of bifurcation theory for dynamical systems. In a previous post I mentioned that there are two generic ways in which a stationary solution can lose hyperbolicity. [...]

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