TorCont: Computation and Continuation of Quasiperiodic Invariant Tori, software package. Torcont is a software package for the computation and continuation of quasiperiodic invariant tori. A full description and examples of use can be found in the torcont user manual, the theoretical background is explained in the preprint Continuation of quasi-periodic invariant tori. This continuation package consists of finder and continuer programs. It contains algorithms for computation (finder) and continuation (continuer) of fixed points (fpfind, fpcont), periodic solutions of autonomous and periodically forced systems (pofind, pocont) and quasiperiodic solutions of autonomous and periodically forced systems (torfind, torcont; torfind4, torcont4). ...

References in zbMATH (referenced in 18 articles )

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  1. Canadell, Marta; Haro, Àlex: Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown (2017)
  2. Laakso, Teemu; Kaasalainen, Mikko: Poincaré inverse problem and torus construction in phase space (2016)
  3. Luque, Alejandro; Villanueva, Jordi: A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map (2016)
  4. Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand: Torus bifurcations in a mechanical system (2015)
  5. Buono, Pietro-Luciano; Collera, Juancho A.: Symmetry-breaking bifurcations in rings of delay-coupled semiconductor lasers (2015)
  6. Canadell, Marta; Haro, Àlex: Parameterization method for computing quasi-periodic reducible normally hyperbolic invariant tori (2015)
  7. Bakri, Taoufik; Verhulst, Ferdinand: Bifurcations of quasi-periodic dynamics: torus breakdown (2014)
  8. Kolemen, Egemen; Kasdin, N.Jeremy; Gurfil, Pini: Multiple poincaré sections method for finding the quasiperiodic orbits of the restricted three body problem (2012)
  9. Sahai, Tuhin: Backbone transitions and invariant tori in forced micromechanical oscillators with optical detection (2010)
  10. Sánchez, J.; Net, M.; Simó, C.: Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems (2010)
  11. Houghton, S.M.; Tobias, S.M.; Knobloch, E.; Proctor, M.R.E.: Bistability in the complex Ginzburg-Landau equation with drift (2009)
  12. Rasmussen, Bryan; Dieci, Luca: A geometrical method for the approximation of invariant tori (2008)
  13. Schilder, Frank; Rübel, Jan; Starke, Jens; Osinga, Hinke M.; Krauskopf, Bernd; Inagaki, Mizuho: Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts (2008)
  14. Schilder, Frank; Peckham, Bruce B.: Computing Arnol’d tongue scenarios (2007)
  15. Bakri, T.: Parametric excitation in nonlinear dynamics (2005)
  16. Schilder, Frank; Osinga, Hinke M.; Vogt, Werner: Continuation of quasi-periodic invariant tori (2005)
  17. van Veen, L.: The quasi-periodic doubling cascade in the transition to weak turbulence (2005)
  18. Verhulst, Ferdinand: Invariant manifolds in dissipative dynamical systems (2005)