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Asymptotic Unfoldings of Dynamical Systems by Normalizing beyond the Normal Form

✍ Scribed by James Murdock

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 561 KB
Volume: 143
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1997.3368

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It is shown on an integrable example in the plane, that normal form solutions need not converge over the full basin of attraction of fixed points of dissipative dynamical systems. Their convergence breaks down at a singularity in the complex time plane of the exact solutions of the problem. However,