Torcont

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). ...

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References in zbMATH (referenced in 30 articles )

Showing results 21 to 30 of 30.
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  1. Sahai, Tuhin: Backbone transitions and invariant tori in forced micromechanical oscillators with optical detection (2010)
  2. Sánchez, J.; Net, M.; Simó, C.: Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems (2010)
  3. Houghton, S. M.; Tobias, S. M.; Knobloch, E.; Proctor, M. R. E.: Bistability in the complex Ginzburg-Landau equation with drift (2009)
  4. Rasmussen, Bryan; Dieci, Luca: A geometrical method for the approximation of invariant tori (2008)
  5. 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)
  6. Schilder, Frank; Peckham, Bruce B.: Computing Arnol’d tongue scenarios (2007)
  7. Bakri, T.: Parametric excitation in nonlinear dynamics (2005)
  8. Schilder, Frank; Osinga, Hinke M.; Vogt, Werner: Continuation of quasi-periodic invariant tori (2005)
  9. van Veen, L.: The quasi-periodic doubling cascade in the transition to weak turbulence (2005)
  10. Verhulst, Ferdinand: Invariant manifolds in dissipative dynamical systems (2005)