The mathematical concepts of auto-oscillation and a self-oscillating system go back to the works of the A. A. Andronov school . A. A. Andronov was the first to connect the property of nonlinear dynamical systems of generating undamped oscillations with the concept of a Poincaré cycle. A cycle, i.e. a closed phase trajectory stable in the large or in the small, is the mathematical image with which the concept of auto-oscillation is usually associated.
KeywordsPeriodic Solution Absolute Stability Positive Real Part Absolute Instability Undamped Oscillation
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