TC-HAT: a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. This paper describes the underlying formulation and functionality of the newly developed software program 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.

References in zbMATH (referenced in 28 articles , 1 standard article )

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  1. Guo, Bingyong; Páez Chávez, Joseph; Liu, Yang; Liu, Caishan: Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts (2021)
  2. Wijaya, Karunia Putra; Páez Chávez, Joseph; Pochampalli, Rohit; Rockenfeller, Robert; Aldila, Dipo; Götz, Thomas; Soewono, Edy: Food sharing and time budgeting in predator-prey interaction (2021)
  3. Páez Chávez, Joseph; Zhang, Zhi; Liu, Yang: A numerical approach for the bifurcation analysis of nonsmooth delay equations (2020)
  4. Wijaya, Karunia Putra; Páez Chávez, Joseph; Aldila, Dipo: An epidemic model highlighting humane social awareness and vector-host lifespan ratio variation (2020)
  5. Chávez, Joseph Páez; Gürbüz, Burcu; Pinto, Carla M. A.: The effect of aggressive chemotherapy in a model for HIV/AIDS-cancer dynamics (2019)
  6. Li, Peng; Jiang, Ziwang: Bifurcation analysis of stick-slip motion of the vibration-driven system with dry friction (2018)
  7. Páez Chávez, Joseph; Jungmann, Dirk; Siegmund, Stefan: A comparative study of integrated pest management strategies based on impulsive control (2018)
  8. Liao, Maolin; Su, Yinao; Zhou, Yingcao: Oscillation reconstruction and bifurcation analysis of a drillbit-rock vibro-impact system (2017)
  9. Páez Chávez, Joseph; Götz, Thomas; Siegmund, Stefan; Wijaya, Karunia Putra: An SIR-dengue transmission model with seasonal effects and impulsive control (2017)
  10. Páez Chávez, Joseph; Jungmann, Dirk; Siegmund, Stefan: Modeling and analysis of integrated pest control strategies via impulsive differential equations (2017)
  11. Hao, Zhifeng; Cao, Qingjie; Wiercigroch, Marian: Two-sided damping constraint control strategy for high-performance vibration isolation and end-stop impact protection (2016)
  12. Liao, Maolin; Ing, James; Páez Chávez, Joseph; Wiercigroch, Marian: Bifurcation techniques for stiffness identification of an impact oscillator (2016)
  13. Linaro, Daniele; Storace, Marco: \textscBAL: a library for the \textitbrute-force analysis of dynamical systems (2016)
  14. Páez Chávez, Joseph; Voigt, Andreas; Schreiter, Jörg; Marschner, Uwe; Siegmund, Stefan; Richter, Andreas: A new self-excited chemo-fluidic oscillator based on stimuli-responsive hydrogels: mathematical modeling and dynamic behavior (2016)
  15. Sessa, Valentina; Iannelli, Luigi; Vasca, Francesco; Acary, Vincent: A complementarity approach for the computation of periodic oscillations in piecewise linear systems (2016)
  16. Han, Ning; Cao, Qingjie; Liang, Tingwei: A rotating disk linked by a pair of springs (2015)
  17. Xu, Jieqiong; Chen, Pu; Li, Qunhong: Theoretical analysis of co-dimension-two grazing bifurcations in (n)-degree-of-freedom impact oscillator with symmetrical constrains (2015)
  18. Licskó, Gábor; Csernák, Gábor: On the chaotic behaviour of a simple dry-friction oscillator (2014)
  19. Páez Chávez, Joseph; Wiercigroch, Marian: Bifurcation analysis of periodic orbits of a non-smooth Jeffcott rotor model (2013)
  20. Křivan, Vlastimil: On the Gause predator-prey model with a refuge: a fresh look at the history (2011)

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