31. Introducción a las bifurcaciones. Valor de bifurcación

We provide a brief introduction to bifurcations. We define a one-parameter family of autonomous differential equations and review the concept of a bifurcation value through an example. 00:00 Introduction 01:17 Definition of a one-parameter family of autonomous equations 02:04 Examples 03:42 Analysis of a family of autonomous equations and its equilibrium solutions 05:19 Moral Task 1 05:24 Sketch of solutions according to the family parameter 09:22 Definition of a bifurcation value 09:50 Moral Task 2 This work was carried out with the support of the UNAM-DGAPA-PAPIME Program PE104721 "Towards a Distance Learning Modality for the Bachelor's Degree in Mathematics at the Faculty of Mathematics of the National Autonomous University of Mexico (UNAM)." I invite you to review more related content at https://blog.nekomath.com/