1 / 1

Analysis of Hopf Bifurcation Dynamics in Nonlinear Systems

This study explores the Hopf bifurcation phenomenon in a nonlinear dynamical system characterized by parameters mu and omega, representing the system's stability and oscillatory behavior. The system is analyzed using vector fields defined by the equations for x and y derivatives, incorporating additional parameters like b. The effect of various parameter values on the system's behavior is examined through a graphical representation with arrows indicating flow direction. The results aim to provide insights into the dynamics presented by the bifurcation, helping to understand stability and oscillations in real-world applications.

xannon
Télécharger la présentation

Analysis of Hopf Bifurcation Dynamics in Nonlinear Systems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. %% PPLANE file %% H.name = 'hopf.pps'; H.xvar = 'x'; H.yvar = 'y'; H.xder = ' mu*x- omega*y + (- x- b*y)*(x^2+y^2) '; H.yder = 'omega*x+ mu*y + (b*x - y)*(x^2+y^2) '; H.pname = {'mu','omega','','b','',''}; H.pval = {'-0.3','1','','1','',''}; H.fieldtype = 'arrows'; H.npts = 20; H.wind = [-3 3 -3 3];

More Related