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First-approximation instability criteria for non-stationary linearizations

✍ Scribed by G.A. Leonov

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
603 KB
Volume
68
Category
Article
ISSN
0021-8928

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✦ Synopsis

Perron effect of sign inversion of characteristic Lyapunov exponents for solving non-linear systems and their first approximations under the same initial conditions are considered. The Krasovskii and Lyapunov instability criteria are proved using the Perron-Vinograd triangulation method.

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