scholarly journals Rotation forms and local Hamiltonian monodromy

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

scholarly journals Fractional Hamiltonian monodromy from a Gauss–Manin monodromy

2008 ◽  
Vol 49 (4) ◽  
pp. 042701 ◽  
Author(s):  
D. Sugny ◽  
P. Mardešić ◽  
M. Pelletier ◽  
A. Jebrane ◽  
H. R. Jauslin
Keyword(s):  
Hamiltonian Monodromy

scholarly journals Experimental Demonstration of Classical Hamiltonian Monodromy in the1∶1∶2Resonant Elastic Pendulum

2009 ◽  
Vol 103 (3) ◽  
Author(s):  
N. J. Fitch ◽  
C. A. Weidner ◽  
L. P. Parazzoli ◽  
H. R. Dullin ◽  
H. J. Lewandowski
Keyword(s):  
Experimental Demonstration ◽  
Hamiltonian Monodromy ◽  
Elastic Pendulum

Nekhoroshev’s approach to Hamiltonian monodromy

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

scholarly journals Manifestation of Hamiltonian Monodromy in Nonlinear Wave Systems

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

scholarly journals Hamiltonian Monodromy and Morse Theory

2019 ◽  
Vol 375 (2) ◽  
pp. 1373-1392 ◽  
Author(s):  
N. Martynchuk ◽  
H. W. Broer ◽  
K. Efstathiou
Keyword(s):  
Morse Theory ◽  
Degrees Of Freedom ◽  
Index Theorem ◽  
Critical Value ◽  
Chern Number ◽  
Circle Action ◽  
Two Degrees Of Freedom ◽  
Hamiltonian Monodromy

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.

Dynamical manifestations of Hamiltonian monodromy

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

Fractional Hamiltonian Monodromy

2006 ◽  
Vol 7 (6) ◽  
pp. 1099-1211 ◽  
Author(s):  
Nikolaií N. Nekhoroshev ◽  
Dmitrií A. Sadovskií ◽  
Boris I. Zhilinskií
Keyword(s):  
Hamiltonian Monodromy

scholarly journals Dynamical manifestation of Hamiltonian monodromy

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