Periodic orbits and bifurcation diagrams of acetylene/vinylidene revisited

Journal of Chemical Physics

Volumn 118, Issue 18, 2003, Pages 8275-8280

  Prosmiti, Rita ^a   Farantos, Stavros C ^b  

^a INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

^b Research Center of Crete   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ACETYLENE; BENDING STRENGTH; BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; ELECTRON TRANSITIONS; INTERFACIAL ENERGY; ISOMERIZATION; MOLECULAR VIBRATIONS; OSCILLATIONS; POTENTIAL ENERGY; SPECTROSCOPIC ANALYSIS;

BIFURCATION DIAGRAMS; PERIODIC ORBITS; POTENTIAL BARRIER; VIBRATIONAL STATES; VINYLIDENE;

QUANTUM THEORY;

EID: 0038814117     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1565991     Document Type: Article

References (39)

1. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, Berlin, 1983).
2. C. Farantos, Int. Rev. Phys. Chem. 15, 345 (1996).
3. H. Ishikawa, R. W. Field, S. C. Farantos, M. Joyeux, J. Koput, C. Beck, and R. Schinke, Annu. Rev. Phys. Chem. 50, 443 (1999).
4. M. Joyeux, S. C. Farantos, and R. Schinke, J. Phys. Chem. 106, 5407 (2002).
5. R. Prosmiti, P. Villarreal, G. Delgado-Barrio, and O. Roncero, Chem. Phys. Lett. 359, 229 (2002).
6. L. Halonen, in Advances in Chemical Physics (Wiley, New York, 1998), Vol. 104, pp. 41-179.
7. R. Prosmiti, S. C. Farantos, and H. Guo, Chem. Phys. Lett. 311, 241 (1999).
8. R. Siebert, P. Fleurat-Lessard, R. Schinke, M. Bittererová, and S. C. Farantos, J. Chem. Phys. 116, 9749 (2002).
9. M. P. Jacobson, J. P. O'Brien, R. J. Silbey, and R. W. Field, J. Chem. Phys. 109, 121 (1998).
10. M. P. Jacobson, J. P. O'Brien, and R. W. Field, J. Chem. Phys. 109, 3831 (1998).
11. K. M. Ervin, J. Ho, and W. C. Lineberger, J. Chem. Phys. 91, 5974 (1989).
12. S. Zou and J. M. Bowman, J. Chem. Phys. 117, 5507 (2002).
13. S. Zou and J. M. Bowman, J. Chem. Phys. 116, 6667 (2002).
14. R. L. Hayes, E. Fattal, N. Govind, and E. Carter, J. Am. Chem. Soc. 123, 641 (2001).
15. L. Liu and J. Muckerman, J. Chem. Phys. 107, 3402 (1997).
16. J. A. Bentley, R. E. Wyatt, M. Menou, and C. Leforestier, J. Chem. Phys. 97, 4255 (1992).
17. J. F. Stanton and J. Gauss, J. Chem. Phys. 110, 6079 (1999).
18. J. F. Stanton and J. Gauss, J. Chem. Phys. 110, 1831 (1999).
19. S. Carter, I. M. Mills, and J. N. Murrell, Mol. Phys. 41, 191 (1980).
20. J. N. Murrell, S. Carter, S. C. Farantos, P. Huxley, and A. J. C. Varandas, Molecular Potential Energy Functions (Wiley, New York, 1984).
21. M. P. Jacobson, R. J. Silbey, and R. W. Field, J. Chem. Phys. 110, 845 (1999).
22. M. P. Jacobson, C. Jung, H. S. Taylor, and R. W. Field, J. Chem. Phys. 111, 600 (1999).
23. J. M. G. Llorente and E. Pollak, Annu. Rev. Phys. Chem. 43, 91 (1992).
24. H. S. Taylor, in Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping, edited by H.-L. Dai and R. W. Field (World Scientific, Singapore, 1995), p. 891.
25. R. Prosmiti and S. C. Farantos, J. Chem. Phys. 103, 3299 (1995).
26. S. C. Farantos, Comput. Phys. Commun. 108, 240 (1998).
27. R. Seydel, From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis (Elsevier, New York, 1988).
28. E. Reithmeier, Periodic Solutions of Nonlinear Dynamical Systems, Lecture Notes in Mathematics (Sprnger-Verlag, Berlin, 1991).
29. A. Weinstein, Invent. Math. 20, 47 (1973).
30. J. Moser, Commun. Pure Appl. Math. 29, 727 (1976).
31. J. F. Stanton (private communication).
32. J. Stoer and R. Bulirsch, Introduction to Numerical Analysis (Springer, New York, 1980).
33. M. K. Kellman, Annu. Rev. Phys. Chem. 46, 395 (1995).
34. M. K. Kellman, J. Chem. Phys. 83, 3843 (1985).
35. L. Halonen, M. S. Child, and S. Carter, Mol. Phys. 47, 1097 (1982).
36. J. M. G. Llorente, H. S. Taylor, and E. Pollak, Phys. Rev. Lett. 62, 2096 (1989).
37. S. Zou and J. M. Bowman, Chem. Phys. Lett. 368, 421 (2003).
38. D. Xu, G. Li, D. Xie, and H. Guo, Chem. Phys. Lett. 365, 480 (2002).
39. M. Gruebele, Adv. Chem. Phys. 5114, 193 (2000).