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Frequency Methods in Oscillation Theory

  • Book
  • © 1996

Overview

Authors:
  1. G. A. Leonov

    1. Department of Mathematics and Mechanics, St Petersburg University, St Peterburg, Russia

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  2. I. M. Burkin

    1. Tula Technical University, Tula, Russia

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    You can also search for this author in PubMed   Google Scholar

  3. A. I. Shepeljavyi

    1. Department of Mathematics and Mechanics, St Petersburg University, St Peterburg, Russia

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 357)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
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  2. Classical Two-Dimensional Oscillating Systems and their Multidimensional Analogues

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 1-33

  3. Frequency Criteria for Stability and Properties of Solutions of Special Matrix Inequalities

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 34-51

  4. Multidimensional Analogues of the van der Pol Equation

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 52-128

  5. Yakubovich Auto-Oscillation

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 129-147

  6. Cycles in Systems with Cylindrical Phase Space

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 148-201

  7. The Barbashin-Ezeilo Problem

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 202-248

  8. Oscillations in Systems Satisfying Generalized Routh-Hurwitz Conditions. Aizerman Conjecture

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 249-303

  9. Frequency Estimates of the Hausdorff Dimension of Attractors and Orbital Stability of Cycles

    • G. A. Leonov, I. M. Burkin, A. I. Shepeljavyi
    Pages 304-375

  10. Back Matter

    Pages 377-403
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Keywords

Authors and Affiliations

  • Department of Mathematics and Mechanics, St Petersburg University, St Peterburg, Russia

    G. A. Leonov, A. I. Shepeljavyi

  • Tula Technical University, Tula, Russia

    I. M. Burkin

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