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Orbits in the H(2)O molecule.

Publication ,  Journal Article
Efstathiou, K; Contopoulos, G
Published in: Chaos (Woodbury, N.Y.)
June 2001

We study the forms of the orbits in a symmetric configuration of a realistic model of the H(2)O molecule with particular emphasis on the periodic orbits. We use an appropriate Poincare surface of section (PSS) and study the distribution of the orbits on this PSS for various energies. We find both ordered and chaotic orbits. The proportion of ordered orbits is almost 100% for small energies, but decreases abruptly beyond a critical energy. When the energy exceeds the escape energy there are still nonescaping orbits around stable periodic orbits. We study in detail the forms of the various periodic orbits, and their connections, by providing appropriate stability and bifurcation diagrams. (c) 2001 American Institute of Physics.

Duke Scholars

Published In

Chaos (Woodbury, N.Y.)

DOI

EISSN

1089-7682

ISSN

1054-1500

Publication Date

June 2001

Volume

11

Issue

2

Start / End Page

327 / 334

Related Subject Headings

  • Fluids & Plasmas
  • 5199 Other physical sciences
  • 4901 Applied mathematics
  • 0299 Other Physical Sciences
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Efstathiou, K., & Contopoulos, G. (2001). Orbits in the H(2)O molecule. Chaos (Woodbury, N.Y.), 11(2), 327–334. https://doi.org/10.1063/1.1356068
Efstathiou, K., and G. Contopoulos. “Orbits in the H(2)O molecule.Chaos (Woodbury, N.Y.) 11, no. 2 (June 2001): 327–34. https://doi.org/10.1063/1.1356068.
Efstathiou K, Contopoulos G. Orbits in the H(2)O molecule. Chaos (Woodbury, NY). 2001 Jun;11(2):327–34.
Efstathiou, K., and G. Contopoulos. “Orbits in the H(2)O molecule.Chaos (Woodbury, N.Y.), vol. 11, no. 2, June 2001, pp. 327–34. Epmc, doi:10.1063/1.1356068.
Efstathiou K, Contopoulos G. Orbits in the H(2)O molecule. Chaos (Woodbury, NY). 2001 Jun;11(2):327–334.

Published In

Chaos (Woodbury, N.Y.)

DOI

EISSN

1089-7682

ISSN

1054-1500

Publication Date

June 2001

Volume

11

Issue

2

Start / End Page

327 / 334

Related Subject Headings

  • Fluids & Plasmas
  • 5199 Other physical sciences
  • 4901 Applied mathematics
  • 0299 Other Physical Sciences
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics