A Criterion of Existence and Uniqueness of the Stable Limit Cycle in Second-Order Oscillators

IEEE Transactions on Circuits and Systems

Volumn 30, Issue 9, 1983, Pages 680-683

  Buonomo, Antonio ^a   Di Bello, Carlo ^b   Greco, Oreste ^c  

^a UNIVERSITY OF CALABRIA   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c Instituto de Ellettrotecnica Facolta di Ingeneria ^*  (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC NETWORKS, NONLINEAR - ANALYSIS; SYSTEM STABILITY;

OSCILLATORS;

EID: 0020809194     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1983.1085407     Document Type: Article

References (8)

1. A. A. Andronov, A. A. Vitt, S. E. Khaikin, Theory of Oscillators. New York: Pergamon, Oxford-Macmillan, 1966.
2. N. Minorsky, Non-linear Oscillations. New York: Van Nostrand, 1962.
3. V. A. Pliss, Non local Problems in the Theory of Oscillations. New York-London: Academic, 1966.
4. G. Sansone and R. Conti, Non linear Differential Equations. New York: Pergamon, Oxford-Macmillan, 1964.
5. D. P. Atherton and H. T. Dorrah, “A survey on non-linear oscillations,” Int. J. Contr., vol. 31, pp. 1041-1105, 1980.
6. A. Lienard, “Etude des oscillations entretenues,” Rev. Gen. Elect., vol. 23, pp. 901-946, 1928.
7. B. Van der Pol, “On relaxation oscillations,” Phil. Mag., vol. 2, pp. 978-992, 1926.
8. A. F. Filippov, “A sufficient condition for the existence of a stable limit cycle for an equation of the second order,” Mat. Sbornik, vol. 30, pp. 171-180, 1952 (Russian).