Introduction to Dynamical Systems - Lecture 2

Introduction to Dynamical Systems - Lecture 2

International Centre for Theoretical Sciences via YouTube Direct link

Three basic bifurcations

1 of 15

1 of 15

Three basic bifurcations

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Introduction to Dynamical Systems - Lecture 2

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

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