Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844300 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 16 Pages |
Abstract
On the basis of a classic Floquet theory variant, the stability of periodic solutions at Andronov-Hopf bifurcation for autonomous nonlinear differential equations of sth order (sâ¥1) with a degenerate Fredholm operator at the highest derivative in Banach spaces is investigated. Stability criteria based on the perturbation theory and Newton diagram method are suggested.
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Authors
L.R. Kim-Tyan, B.V. Loginov, Yu.B. Rousak,