Yakubovich Auto-Oscillation

  • G. A. Leonov
  • I. M. Burkin
  • A. I. Shepeljavyi
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 357)

Abstract

The mathematical concepts of auto-oscillation and a self-oscillating system go back to the works of the A. A. Andronov school [11]. 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.

Keywords

Periodic Solution Absolute Stability Positive Real Part Absolute Instability Undamped Oscillation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Klumer Academic Publishers 1996

Authors and Affiliations

  • G. A. Leonov
    • 1
  • I. M. Burkin
    • 2
  • A. I. Shepeljavyi
    • 1
  1. 1.Department of Mathematics and MechanicsSt Petersburg UniversitySt PetersburgRussia
  2. 2.Tula Technical UniversityTulaRussia

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