Media Summary: In the previous example of five networked neurons with threshold-linear dynamics, the excitory links are illustrated as a directed ... The Hopf bifurcation is one of the most important in all of dynamical systems: as you vary the parameter \mu, a spiral sink ... The (supercritical) Hopf bifurcation can be viewed in x-y-\mu space as having a spiral sink turn to a spiral source and then birthing ...
Appdynsys Flows Visualizing 1 D - Detailed Analysis & Overview
In the previous example of five networked neurons with threshold-linear dynamics, the excitory links are illustrated as a directed ... The Hopf bifurcation is one of the most important in all of dynamical systems: as you vary the parameter \mu, a spiral sink ... The (supercritical) Hopf bifurcation can be viewed in x-y-\mu space as having a spiral sink turn to a spiral source and then birthing ... This video is from the online tutorial a Visual Approach to Nonlinear Dynamics from Santa Fe Institute Professor Sid Redner. When it comes to horizontal shaking, sometimes, you can get a global attractor. This is a system of rolling balls that exhibits ... So, past the supercritical pitchfork, what determines which way the system buckles? Chance. The smallest change in the initial ...
