Subharmonic Branching in Reversible Systems
- 1 July 1990
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 21 (4) , 954-979
- https://doi.org/10.1137/0521053
Abstract
The branching of subharmonic solutions at a symmetric periodic solution of an autonomous reversible system is studied. Here “symmetric” means “invariant under time reversal.” It is shown that generically each such symmetric periodic solution belongs to a one-parameter family of similar periodic solutions. Along such a family solutions having multipliers that are roots of unity can be met generically. It is shown that at such solutions further branching of subharmonic solutions will generically occur.Keywords
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