Hidden Dynamics The Mathematics of Switches, Decisions and Other Discontinuous Behaviour /

The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical properties. From biological mitosis to seizures. F...

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Κύριος συγγραφέας: Jeffrey, Mike R. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Preface
  • Chapter Outline
  • Chapter 1- Origins of Discontinuity
  • Chapter 2- One switch in the Plane: A Primer
  • Chapter 3- The Vector Field: Multipliers & Combinations
  • Chapter 4- The Flow: Types of Solution
  • Chapter 5- The Vector Field Canopy
  • Chapter 6- Tangencies: The Shape of the Discontinuity Surface
  • Chapter 7- Layer Analysis
  • Chapter 8- Linear Switching (Local Theory)
  • Chapter 9- Nonlinear Switching (Local Theory)
  • Chapter 10- Breaking Determinacy
  • Chapter11- Global Bifurcations & Explosions
  • Chapter 12- Asymptotics of Switching: Smoothing & Other Perturbations
  • Chapter 13- Four Obsessions of the Two-Fold Singularity
  • Chapter 14- Applications from Physics, Biology, and Climate
  • Appendix A- Discontinuity as an Asymptotic Phenomenon - Examples
  • Appendix B- A Few Words from Filippov & Others, Moscow 1960
  • Exercises
  • Bibliography
  • Glossary.