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Response of nonlinear oscillators with random frequency of excitation, revisited

✍ Scribed by H. Hein; Ü. Lepik

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
642 KB
Volume
301
Category
Article
ISSN
0022-460X

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✦ Synopsis

Periodically driven oscillators of low-frequency random excitations are analyzed. Computer simulation, which was carried out for the Duffing equation and forced vibrations of a pendulum, indicated that in these cases noise has a stabilizing effect. Computation of Lyapunov exponents showed that by adding noise to chaotic motion the largest Lyapunov exponent as a rule turns to negative and, consequently, the chaotic motion is annihilated.

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