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A geometric fractional monodromy theorem

Publication ,  Conference
Broer, H; Efstathiou, K; Lukina, O
Published in: Discrete and Continuous Dynamical Systems Series S
December 1, 2010
Published version (DOI)

We prove the existence of fractional monodromy for two degree of freedom integrable Hamiltonian systems with one-parameter families of curled tori under certain general conditions. We describe the action coordinates of such systems near curled tori and we show how to compute fractional monodromy using the notion of the rotation number.

Duke Scholars

Konstantinos Efstathiou
Author Konstantinos Efstathiou DKU Faculty

Published In

Discrete and Continuous Dynamical Systems Series S

DOI

10.3934/dcdss.2010.3.517

EISSN

1937-1179

ISSN

1937-1632

Publication Date

December 1, 2010

Volume

3

Issue

4

Start / End Page

517 / 532

Related Subject Headings

  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Broer, H., Efstathiou, K., & Lukina, O. (2010). A geometric fractional monodromy theorem. In Discrete and Continuous Dynamical Systems Series S (Vol. 3, pp. 517–532). https://doi.org/10.3934/dcdss.2010.3.517
Broer, H., K. Efstathiou, and O. Lukina. “A geometric fractional monodromy theorem.” In Discrete and Continuous Dynamical Systems Series S, 3:517–32, 2010. https://doi.org/10.3934/dcdss.2010.3.517.
Broer H, Efstathiou K, Lukina O. A geometric fractional monodromy theorem. In: Discrete and Continuous Dynamical Systems Series S. 2010. p. 517–32.
Broer, H., et al. “A geometric fractional monodromy theorem.” Discrete and Continuous Dynamical Systems Series S, vol. 3, no. 4, 2010, pp. 517–32. Scopus, doi:10.3934/dcdss.2010.3.517.
Broer H, Efstathiou K, Lukina O. A geometric fractional monodromy theorem. Discrete and Continuous Dynamical Systems Series S. 2010. p. 517–532.

Published In

Discrete and Continuous Dynamical Systems Series S

DOI

10.3934/dcdss.2010.3.517

EISSN

1937-1179

ISSN

1937-1632

Publication Date

December 1, 2010

Volume

3

Issue

4

Start / End Page

517 / 532

Related Subject Headings

  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics