Method for computing long periodic orbits of dynamical systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 1, 1996, Pages 1206-1211

  Drossos, Lambros ^a   Ragos, Omiros ^a   Vrahatis, Michael N ^a   Bountis, Tassos ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001424236     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1206     Document Type: Article

References (17)

1. P. Cvitanovic, Universality in Chaos, 2nd ed. (Hilger, Bristol, 1989).
2. R. MacKay and J. Meiss, Hamiltonian Dynamical Systems (Hilger, Bristol, 1986).
3. M. N. Vrahatis and T. C. Bountis, in International Conference on Hamiltonian Mechanics, Integrability and Chaotic Behavior, edited by J. Seimenis (Plenum, New York, 1994), p. 261.
4. M. N. Vrahatis, J. Comput. Phys. 119, 105 (1995).
5. C. L. Goudas, Bull. Soc. Math. Gre`ce 2, 1 (1961).
6. G. Shearing, Ph.D. thesis, University of Manchester, 1960 (unpublished).
7. J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic, New York, 1970).
8. M. N. Vrahatis and K. I. Iordanidis, Numer. Math. 49, 123 (1986).
9. M. N. Vrahatis, G. Servizi, G. Turchetti, and T. C. Bountis, CERN Report No. SL/93-06 (AP), 1993 (unpublished).
10. M. N. Vrahatis, T. C. Bountis, and M. Kollmann, Int. J. Bifurc. Chaos (to be published).
11. A. Eiger, K. Sikorski and F. Stenger, ACM Trans. Math. Software 10, 367 (1984).
12. M. N. Vrahatis, Bull. Soc. Math. Gre`ce 27, 161 (1986).
13. J. M. Greene, J. Comput. Phys. 98, 194 (1992).
14. M. N. Vrahatis, ACM Trans. Math. Software 14, 312 (1988).
15. M. N. Vrahatis, ACM Trans. Math. Software 14, 330 (1988).
16. J. Stoer and R. Bulirsch, Introduction to Numerical Analysis (Springer-Verlag, New York, 1980).
17. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, The Art of Scientific Computing, 2nd ed. (Cambridge University Press, New York, 1992).