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Classical Two-Dimensional Oscillating Systems and their Multidimensional Analogues

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

Abstract

As mentioned in the Preface, the starting point for the development of frequency methods of investigating nonlinear oscillations is the qualitative theory of two-dimensional dynamical systems and such elements of absolute stability theory as the Popov method of a priori integral estimates and frequency theorems on solvability and properties of solutions of quadratic matrix inequalities.

Keywords

Periodic Solution Play Type Multidimensional Analogue Nonsingular Linear Transformation Nontrivial Periodic Solution 
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

© Kluwer 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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