Lyapunov's first method for strongly non-linear systems
β Scribed by V.V. Kozlov; S.D. Furta
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 793 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0021-8928
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π SIMILAR VOLUMES
A numerical method may be used to obtain a quadratic Lyapunov Function for a high order system x= f(x), where f(x) is a continuous function of x, so that the vohtme of the asymptotic stability reagion obtained is maximised. Summary--This paper deals with the problem of automatically constructing a
In this paper various approximate analytical methods for obtaining solutions for strongly non-linear differential equations in a complex function are developed. The methods are based on the solution of the generating differential equation with a cubic complex term. The method of harmonic balance, th
An elliptic perturbation method is presented for calculating periodic solutions of strongly non-linear oscillators of the form xΒ¨+ c1x + c3x 3 = ef(x, xΛ), in which the Jacobian elliptic functions are employed instead of usual circular functions in the conventional perturbation procedure. Three type