**矢ヶ崎一幸 氏**

**2019年5月30日(木) 15時00分**

**総合研究10号館317号室(セミナー室)**

Following [1], we study bifurcations and stability for one-parameter families of symmetric periodic orbits in reversible systems. In [1], bifurcations from one-parameter families of symmetric periodic orbits were theoretically investigated. The theory was applied to a generalization of the Henon–Heiles system and showed that there exist infinitely many families of symmetric periodic orbits bifurcating from a family of symmetric periodic orbits. In this talk, we concentrate on the stability for one-parameter families of symmetric periodic orbits related to the bifurcation behavior and give some criteria for determining their stability. We apply our theory to the generalized Henon–Heiles system. Numerical computations are also given to illustrate and demonstrate the theoretical results.[1] K. Yagasaki, Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems, Nonlinearity, 26 (2013), 1345--1360; Erratum: 26 (2013) 1823.

Last modified: Wed Jan 16 18:03:30 JST 2019