hamiltonian monodromy
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2019 ◽  
Vol 375 (2) ◽  
pp. 1373-1392 ◽  
Author(s):  
N. Martynchuk ◽  
H. W. Broer ◽  
K. Efstathiou

Abstract We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the system. Our proof is based on Takens’s index theorem, which specifies how the energy-h Chern number changes when h passes a non-degenerate critical value, and a choice of admissible cycles in Fomenko–Zieschang theory. Connections of our result to some of the existing approaches to monodromy are discussed.


2017 ◽  
Vol 58 (2) ◽  
pp. 022902 ◽  
Author(s):  
K. Efstathiou ◽  
A. Giacobbe ◽  
P. Mardešić ◽  
D. Sugny

2016 ◽  
Vol 21 (6) ◽  
pp. 720-758 ◽  
Author(s):  
Dmitrií A. Sadovskí

2011 ◽  
Vol 106 (1) ◽  
Author(s):  
E. Assémat ◽  
C. Michel ◽  
A. Picozzi ◽  
H. R. Jauslin ◽  
D. Sugny

2009 ◽  
Vol 324 (9) ◽  
pp. 1953-1982 ◽  
Author(s):  
J.B. Delos ◽  
G. Dhont ◽  
D.A. Sadovskií ◽  
B.I. Zhilinskií

2009 ◽  
Vol 103 (3) ◽  
Author(s):  
N. J. Fitch ◽  
C. A. Weidner ◽  
L. P. Parazzoli ◽  
H. R. Dullin ◽  
H. J. Lewandowski

2008 ◽  
Vol 83 (2) ◽  
pp. 24003 ◽  
Author(s):  
J. B. Delos ◽  
G. Dhont ◽  
D. A. Sadovskií ◽  
B. I. Zhilinskií

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