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Border collision bifurcation
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Classroom Contents
Introduction to Dynamical Systems - Lecture 2
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- 1 Three basic bifurcations
- 2 An example
- 3 Neimark-Sacker bifurcation
- 4 Introduction to Non-smooth Dynamical Systems
- 5 Switched Dynamical Systems
- 6 State moves between compartments
- 7 State does not move between compartments, yet equations change
- 8 An Example: hard-impacting system
- 9 Character of a fixed point
- 10 Discrete-time mapping is piecewise smooth
- 11 The discrete-time map
- 12 Map and Jacobian elements continuous
- 13 Map discontinuous, and has square root singularity
- 14 Border collision bifurcation
- 15 Obtaining the discrete-time mapping: Example
