One-parameter independent bound for a two-parameter oscillator

One-parameter independent bound for a two-parameter oscillator

This letter concerns a two-parameter nonlinear differential equation which represents an oscillator of van der Pol type. A one-parameter independent lower bound for the diameter of the oscillator limit cycle is established.

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the IEEE 1969, Vol.57 (7), p.1296-1296
1. Verfasser: Mulholland, R.J.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Damping
Differential equations
Limit-cycles
Linearity
Lyapunov method
Marine vehicles
Nonlinear equations
Oscillators
Shape
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Zusammenfassung:This letter concerns a two-parameter nonlinear differential equation which represents an oscillator of van der Pol type. A one-parameter independent lower bound for the diameter of the oscillator limit cycle is established.
ISSN:0018-9219
DOI:10.1109/PROC.1969.7236