TC-HAT (TĈ): A novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems

Phanikrishna Thota, Harry Dankowicz

Research output: Contribution to journalArticle


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 languageEnglish (US)
Pages (from-to)1283-1322
Number of pages40
JournalSIAM Journal on Applied Dynamical Systems
Issue number4
StatePublished - Nov 26 2008



  • Bifurcation analysis
  • Continuation software
  • Hybrid dynamical systems
  • TC-HAT

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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