ordinary-differential-equations

Mar 04 2021

Stability of Fixed Points of High Dimensional Dynamical Systems

Aditya M. Deshpande

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system. Fixed point...

calculus eigenvalues jacobian ode ordinary-differential-equations stability vector-valued-function

Feb 01 2020

Stablility of Fixed Point of a Dynamical System

Aditya M. Deshpande

Stability theory is used to address the stability of solutions of differential equations. A dynamical system can be represented by a differential equation. The stability of the trajectories of this system under perturbations of its initial conditions can also be addressed using the stability...

calculus ode ordinary-differential-equations