psSchur is an experimental FORTRAN77 double precision code to compute the periodic Schur decomposition. The package also contains interfaces to Matlab for most subroutines. The latter are written in C. The package has been developed on a PC using Matlab 5.3 and the Microsoft Visual C++ and Fortran Powerstation languages version 4.0. Some testing has also been performed on a SUN workstation, but the Matlab interface in particular could still be buggy on UNIX computers. Version 0.1 is the code as it has been used to write the paper Improved Numerical Floquet Multipliers (submitted to International Journal on Bifurcation and Chaos,) though the adaptations to the AUTO97 have not been included in the archive. If you are interested in the AUTO interface, please send e-mail to kurt.lust ”at” Version 0.1 supports the computation of the periodic real Schur decomposition of a matrix product Gm...G1. Singular matrices are allowed. The present version does not yet support the computation of eigenvectors or the reordering of the Schur decomposition.

References in zbMATH (referenced in 18 articles )

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  1. Ding, Xiong; Cvitanović, Predrag: Periodic eigendecomposition and its application to Kuramoto-Sivashinsky system (2016)
  2. Claus, Juliane; Ptashnyk, Mariya; Bohmann, Ansgar; Chavarría-Krauser, Andrés: Global Hopf bifurcation in the ZIP regulatory system (2015)
  3. Cammarano, A.; Hill, T.L.; Neild, S.A.; Wagg, D.J.: Bifurcations of backbone curves for systems of coupled nonlinear two mass oscillator (2014)
  4. Kuehn, Christian; Gross, Thilo: Nonlocal generalized models of predator-prey systems (2013)
  5. Chu, Eric King-Wah; Fan, Hung-Yuan; Jia, Zhongxiao; Li, Tiexiang; Lin, Wen-Wei: The Rayleigh-Ritz method, refinement and Arnoldi process for periodic matrix pairs (2011)
  6. Gusev, Sergei; Johansson, Stefan; Kågström, Bo; Shiriaev, Anton; Varga, Andras: A numerical evaluation of solvers for the periodic Riccati differential equation (2010)
  7. Sánchez, Juan; Net, Marta: On the multiple shooting continuation of periodic orbits by Newton-Krylov methods (2010)
  8. Campbell, Sue Ann; Stone, Emily; Erneux, Thomas: Delay induced canards in a model of high speed machining (2009)
  9. Nandakumar, K.; Chatterjee, Anindya: Continuation of limit cycles near saddle homoclinic points using splines in phase space (2009)
  10. Dieci, L.; Elia, C.: SVD algorithms to approximate spectra of dynamical systems (2008)
  11. Krauskopf, Bernd; Rieß, Thorsten: A Lin’s method approach to finding and continuing heteroclinic connections involving periodic orbits (2008)
  12. Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Sneyd, James: When Shil’nikov meets Hopf in excitable systems (2007)
  13. Doedel, E.J.; Romanov, V.A.; Paffenroth, R.C.; Keller, H.B.; Dichmann, D.J.; Galán-Vioque, J.; Vanderbauwhede, A.: Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem (2007)
  14. Kressner, Daniel: A periodic Krylov-Schur algorithm for large matrix products (2006)
  15. Doedel, E.J.; Dichmann, D.J.; Galán-Vioque J.; Keller, H.B.; Paffenroth, R.C.; Vanderbauwhede, A.: Elemental periodic orbits of the CR3BP: a brief selection of computational results (2005)
  16. Krauskopf, B.; Osinga, H.M.; Doedel, E.J.; Henderson, M.E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O.: A survey of methods for computing (un)stable manifolds of vector fields (2005)
  17. Doedel, E.J.; Paffenroth, R.C.; Keller, H.B.; Dichmann, D.J.; Galán-Vioque, J.; Vanderbauwhede, A.: Computation of periodic solutions of conservative systems with application to the 3-body problem. (2003)
  18. Lust, Kurt: Improved numerical Floquet multipliers. (2001)

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