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Global bifurcations in a disturbed Hamiltonian vector field approaching A 3:1 resonant Poincaré map (I)

Global bifurcations in a disturbed Hamiltonian vector field approaching A 3:1 resonant Poincaré... In this paper, we use a qualitative method to study global and local bifurcations in a disturbed Hamiltonian vector field approaching a Poincaré map in the 3:1 resonant case. We give explicit calculation formulas to determine bifurcation parameters and draw various bifurcations and phase portraits in the phase plane. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Global bifurcations in a disturbed Hamiltonian vector field approaching A 3:1 resonant Poincaré map (I)

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Publisher
Springer Journals
Copyright
Copyright © 1991 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02080206
Publisher site
See Article on Publisher Site

Abstract

In this paper, we use a qualitative method to study global and local bifurcations in a disturbed Hamiltonian vector field approaching a Poincaré map in the 3:1 resonant case. We give explicit calculation formulas to determine bifurcation parameters and draw various bifurcations and phase portraits in the phase plane.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References