Static and dynamical manifestations of Hamiltonian monodromy

Journal of Physics: Conference Series

Volumn 99, Issue 1, 2008, Pages

  Delos, J B ^a   Schleif, C R ^a   Dhont, G ^b  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

^b UNIVERSITÉ DU LITTORAL CÔTE D OPALE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41149166201     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/99/1/012005     Document Type: Article

References (32)

1. In complex variable theory a monodromy theorem states that if a complex variable z is taken around a closed path in the complex plane, then a function f(z) returns to its original value provided that the function has no branch points in the region enclosed by that path. (Weisstein, Eric W. Monodromy Theorem. From MathWorld, http://mathworld.wolfram.com/MonodromyTheorem.html. In classical dynamics a monodromy matrix associated with a periodic orbit describes the relationship between initial displacements and final displacements from a periodic orbit: in the linear approximation the vector of final displacements is equal to the monodromy matrix times the vector of initial displacements.
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32. Delos J B, Dhont G D, Sadovski D A and Zhilinski B I Dynamical manifestations of Hamiltonian monodromy submitted