From #VanDerPolOscillator to the #FitzHughNagumoModel: Explore the dynamics of a simplified #NeuronModel used to describe #ActionsPotential in neurons.
https://www.fabriziomusacchio.com/blog/2024-04-07-fitzhugh_nagumo_model/
From #VanDerPolOscillator to the #FitzHughNagumoModel: Explore the dynamics of a simplified #NeuronModel used to describe #ActionsPotential in neurons.
https://www.fabriziomusacchio.com/blog/2024-04-07-fitzhugh_nagumo_model/
Here is another #PhasePlaneAnalysis #tutorial, this time applied to the #VanDerPolOscillator, a non-conservative #oscillator with nonlinear damping:
https://www.fabriziomusacchio.com/blog/2024-03-24-van_der_pol_oscillator/
I just updated the code and added one of the two fixed points and the according eigenvectors to the #RösslerAttractor plot, following the #PhasePlaneAnalysis discussion in this blog post: https://www.fabriziomusacchio.com/blog/2024-03-19-roesler_attractor_nullcines_and_fixed_points/
Exploring the behavior of #DynamicalSystems directly through their differential equations can be complex. #PhasePlaneAnalysis offers a clearer and intuitive view by visualizing dynamics with #PhasePortraits, simplifying understanding. Here is a #tutorial along with some #Python code, exploring this method and exemplarily applying it to the simple pendulum.
https://www.fabriziomusacchio.com/blog/2024-03-17-phase_plane_analysis/