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Multi-stable periodical devices with variations on the theme of van der pol

✍ Scribed by Y.A. Saet; G.L. Viviani

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
840 KB
Volume
318
Category
Article
ISSN
0016-0032

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✦ Synopsis

Two clusses of nonlinear systems with one degree qffreedom, each having several a/a& limit c~~c1e.s. ure introduced und anul~lzrd. The realization q/one oj'them is presented in the ,fbrm qfa simple compact electronic device. The "Van der Pol structured" equation having a given number of limit cycles with prescribed amplitudes is analytically synthesized in a framework of quasilineur theory>. The qualitative structure of the phase space of such systems has dynamical properties simihr 10 certain situuhms in chemical kinetics, upplied physics and biology.

πŸ“œ SIMILAR VOLUMES

On the periodic solution of the van der
On the periodic solution of the van der Pol equation for small values of the damping parameter
✍ Buonomo, A. πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 146 KB πŸ‘ 2 views

We give a purely analytical perturbation method of solution of the van der Pol equation, whereby the periodic solution can be actually developed in the form of a power series in the damping parameter up to any desired order and thus analysed in detail. The coefficients of the series solution, which