Abstract
This paper describes the underlying formulation and functionality of the newly developed software program TĈ ("tc-HAT"), to perform bifurcation analysis of systems in which continuous-in-time dynamics are interrupted by discrete-in-time events, often referred to as hybrid dynamical systems. Boundary-value-problem formulations corresponding to single- and two-parameter continuations of periodic trajectories and selected associated codimension-one bifurcations in such systems are presented. Finally, the capabilities of the program are illustrated by performing bifurcation analysis of a few example hybrid dynamical systems.
Original language | English (US) |
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Pages (from-to) | 1283-1322 |
Number of pages | 40 |
Journal | SIAM Journal on Applied Dynamical Systems |
Volume | 7 |
Issue number | 4 |
DOIs | |
State | Published - 2008 |
Keywords
- Bifurcation analysis
- Continuation software
- Hybrid dynamical systems
- TC-HAT
ASJC Scopus subject areas
- Analysis
- Modeling and Simulation