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Degenerate branching points of autonomous Hamiltonian systems

✍ Scribed by Wiktor Radzki

Book ID
104330624
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
174 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper deals with non-constant 2 -periodic solutions of αΊ‹(t) = J βˆ‡H (x(t)); where ∈ (0; +∞) and

for x0 ∈ (βˆ‡H ) -1 ({0}). Su cient conditions for the existence of connected branches of such solutions bifurcating from (x0; 0) have been formulated. The corresponding theorem concerning connected branches of arbitrary periodic nonstationary trajectories of the Hamiltonian system αΊ‹(t) = J βˆ‡H (x(t)) emanating from x0 has been proved. Minimal periods of trajectories near x0 have been described.

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