Autors: Savov, V., Georgiev, Z. D., Todorov, T. G., Karagineva, I., Mladenov, V. M.
Title: Synthesis of generalized Van der Pol oscillator systems
Keywords: Van der Pol oscillators, Melnikov function, Limit cycles, Synthesis of oscillator systems

Abstract: In this paper we present the method for synthesis of generalized Van der Pol oscillator systems using Melnikov function. The oscillations in such systems are regarded as limit cycles in perturbed Hamiltonian systems under polynomial perturbations of arbitrary degree. The method of synthesis is based on appropriate computation of perturbation coefficients, so that the prescribed properties are fulfilled.

References

    Issue

    Proc. of the 5th WSEAS Int. Conf. on Non-Linear Analysis, Non-Linear Systems and Chaos, pp. 149-152, 2006, Romania, WSEAS

    Цитирания (Citation/s):
    1. El‐Dib, Y.O., 2021. The frequency estimation for non‐conservative nonlinear oscillation. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 101(12), p.e202100187. - 2021 - в издания, индексирани в Scopus или Web of Science

    Вид: статия в списание, публикация в реферирано издание, индексирана в Google Scholar