Estimates of planar regions of asymptotic stability
Author:
Larry R. Anderson
Journal:
Quart. Appl. Math. 36 (1979), 434-438
MSC:
Primary 34D20
DOI:
https://doi.org/10.1090/qam/520125
MathSciNet review:
520125
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Additional Information
- Larry R. Anderson and Walter Leighton, Liapunov functions for autonomous systems of second order, J. Math. Anal. Appl. 23 (1968), 645–664. MR 229922, DOI https://doi.org/10.1016/0022-247X%2868%2990145-5
- Paul Brock, The nature of solutions of a Rayleigh-type forced vibration equation with a large coefficient of damping, J. Appl. Phys. 24 (1953), 1004–1007. MR 59433
R. J. P. de Figueiredo, Existence and uniqueness results for Liénard’s equation, I.E.E.E. Trans. CT-17, 313–321 (1970)
J. P. LaSalle and S. Lefschetz, Stability by Liapunov’s direct method, with applications, Academic Press, New York, 1961
L. Anderson and W. Leighton, Liapunov functions for autonomous systems of second order, J. Math. Anal. Appl. 23, 645–664 (1968)
P. Brock, The nature of solution of a Rayleigh type forced vibration equation with a large coefficient of damping, J. Appl. Phys. 24, 1004–1007 (1953)
R. J. P. de Figueiredo, Existence and uniqueness results for Liénard’s equation, I.E.E.E. Trans. CT-17, 313–321 (1970)
J. P. LaSalle and S. Lefschetz, Stability by Liapunov’s direct method, with applications, Academic Press, New York, 1961
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Article copyright:
© Copyright 1979
American Mathematical Society
