Talk:Van der Pol oscillator

message: I think this should explain why the system is stable for mu > 1.
Perhaps the transfer function poles could be analyzed...  —Preceding unsigned comment added by 99.235.199.57 (talk) 01:42, 5 February 2008 (UTC)
thread_title:  stability 

message: I modified the article twice (one is anonymous since I forgot to log in) and removed the forcing function from the right-hand side of the equation. I'll eventually add in a sentence or two explaining the subtraction/addition of energy to the system based on the magnitude of x and the qualitative difference between the limit cycles when epsilon << 1 and when it is larger (relaxation oscillations). The forced van der Pol oscillator should be the subject of a subsection of this article. Rompala
:Accidently pressed save when checking for the last time so no comments on history. However, added short section on the forced oscillator, a history with a few uses and references and a section showing what happens to the unforced oscillator for varying values of mu.Kae1is 17:17, 17 November 2006 (UTC)
thread_title:  Adding more detail... 

message: Removed second, point link to non-linearity, improved dynamics link - especially as it's now been moved to :Category:Chaotic maps. Added hypens so gramatically correct. I'm sorry whoever changed it but the van is not capitalised, see Balthasar van der Pol and half the instances in this article and his own article in Nature. Finally found the correct reference for the seismology comment it's only taken me 5 years. 
I can prove the other results I provided earlier (I can give you the program and the values required to obtain the results given); but it's not been published so I understand if nobody wants to use them. I don't like the word regimes in the results section... it just sounds wrong. If anyone has any better suggestions that'd be good.
I have numerous phasemaps and FFTs of the VDP and forced VDP oscillators, though unfortunately not in colour, that'd I'd be happy to add, they're all created by me using a program that I wrote, along with values of A, E μ and ω. Kae1is (talk) 21:30, 26 October 2009 (UTC)
thread_title: Revisions & Suggestions

message: The Dutch version of this page contains much more information, would anyone be interested in a translation? It also uses a more consistent notation for the nonlinear term. 131.180.16.252 (talk) 13:02, 30 November 2009 (UTC)
thread_title: Merging from the Dutch version?

message: Hi there, I've added a plot to show how the limit cycle changes with μ in phase space. I hope this is helpful. Suggestions welcome. --widdma (talk) 11:11, 9 February 2010 (UTC)
thread_title: Limit Cycle Plot

message: Can someone add some information on canards here? Tkuvho (talk) 17:11, 10 May 2011 (UTC)
thread_title:  canards 

message: Easy to see at https://polyphys.com/centralflow.php when the "Q" handle (controlling flow character) is more than 90deg from vertical in either direction. You can even make one stable limit cycle inside another with the right configuration. I always wondered what this effect was called but just learned the phrase "limit cycle" today. 162.246.139.210 (talk) 21:24, 19 January 2024 (UTC)
thread_title:  Example