Introduction to Dynamical Systems - Lecture 2
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Three basic bifurcations
An example
Neimark-Sacker bifurcation
Introduction to Non-smooth Dynamical Systems
Switched Dynamical Systems
State moves between compartments
State does not move between compartments, yet equations change
An Example: hard-impacting system
Character of a fixed point
Discrete-time mapping is piecewise smooth
The discrete-time map
Map and Jacobian elements continuous
Map discontinuous, and has square root singularity
Border collision bifurcation
Obtaining the discrete-time mapping: Example
Taught by
International Centre for Theoretical Sciences