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research article
Fiber connectivity and bifurcation diagrams of almost toric integrable systems
We describe the bifurcation diagrams of almost toric integrable Hamiltonian systems on a four dimensional symplectic manifold M, not necessarily compact. We prove that, under a weak assumption, the connectivity of the fibers of the induced singular Lagrangian fibration M --> R-2 can be detected from the bifurcation diagram alone. In this case, it is possible to give a detailed description of the image of the fibration.
Type
research article
Web of Science ID
WOS:000353043400004
Authors
Publication date
2015
Publisher
Published in
Volume
13
Issue
2
Start page
343
End page
386
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 29, 2015
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