Following previous work on computing approximate frequency response functions for the Duffing oscillator under white Gaussian excitation, an approximation is obtained here for the coherence function. A PadeΒ΄approximation of order (1,1) is made for the asymmetric Duffing oscillator (i.e. with non-zer
On the convergence of the Volterra-series representation of the Duffing's oscillators subjected to harmonic excitations
β Scribed by Z.K. Peng; Z.Q. Lang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 372 KB
- Volume
- 305
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
Higher order frequency response functions, based on the Volterra series, are employed to represent the input-output characteristics of the Duffing oscillator subject to sinusoidal excitation. From these a series representation of a first order frequency response function of the non-linear system is
We examine densities of several sets connected with the Fermat numbers F m ΒΌ 2 2 m ΓΎ 1: In particular, we prove that the series of reciprocals of all prime divisors of Fermat numbers is convergent. We also show that the series of reciprocals of elite primes is convergent.