Families of Periodic Solutions for Some Hamiltonian PDEs.
In: SIAM Journal on Applied Dynamical Systems, Jg. 16 (2017), Heft 1, S. 1-15
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Zugriff:
We consider the nonlinear wave equation utt = uxx = ±u³ and the beam equation utt +uxxxx = ±u³ on an interval. Numerical observations indicate that time-periodic solutions for these equations are organized into structures that resemble branches and seem to undergo bifurcations. In addition to describing our observations, we prove the existence of time-periodic solutions for various periods (a set of positive measure in the case of the beam equation) along the main nontrivial "branch. Our proofs are computer-assisted. [ABSTRACT FROM AUTHOR]
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Families of Periodic Solutions for Some Hamiltonian PDEs.
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Autor/in / Beteiligte Person: | Arioli, Gianni ; Koch, Hans |
Zeitschrift: | SIAM Journal on Applied Dynamical Systems, Jg. 16 (2017), Heft 1, S. 1-15 |
Veröffentlichung: | 2017 |
Medientyp: | academicJournal |
ISSN: | 1536-0040 (print) |
DOI: | 10.1137/16M1070177 |
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