Media Summary: This video covers Chapter 3.2 of the Lecture Notes for the Graduate Class 'Methods of Nonlinear Analysis'. The notes are ... For the given ODE equation, dx/dt=r-x^2, we observe changes in the fixed point as the parameter r varies. In this lecture, I dive into the world of bifurcations in one-dimensional dynamical systems, beginning with one of the simplest and ...
412 08 The Saddle Node - Detailed Analysis & Overview
This video covers Chapter 3.2 of the Lecture Notes for the Graduate Class 'Methods of Nonlinear Analysis'. The notes are ... For the given ODE equation, dx/dt=r-x^2, we observe changes in the fixed point as the parameter r varies. In this lecture, I dive into the world of bifurcations in one-dimensional dynamical systems, beginning with one of the simplest and ... On the left plot is the direction field for the titled ODE, along with a few particular solutions. In this example we have that k = 1/50 ... This video covers Chapter 5.3 of the Lecture Notes for the Graduate Class 'Methods of Nonlinear Analysis'. The notes are ... This video covers numerical computations for Chapter 5 of the Lecture Notes for the Graduate Class 'Methods of Nonlinear ...
This animation, created using MATLAB, illustrates a This video covers Chapter 3.3 of the Lecture Notes for the Graduate Class 'Methods of Nonlinear Analysis'. The notes are ...
