COUPLED SELF-OSCILLATING SYSTEMS: THEORY AND APPLICATIONS

Author:

GUERRA FRANCESCO12

Affiliation:

1. Department of Physics, Sapienza University of Rome, Piazzale A. Moro 2, 00185 Roma, Italy

2. INFN, Section of Roma 1, Piazzale A. Moro 2, 00185 Roma, Italy

Abstract

We review the structure of self-oscillating dynamical systems, and point out the numerous applications that they can have. In the case of coupled self-oscillating systems, the typical features of complexity show up, in a completely dynamical setting. This general scheme goes well beyond Fourier analysis, and allows to consider modes at the various time scale levels in a frame where non-linearity plays an essential role. We discuss some basic applications to speech generation, hydrodynamic instabilities, volcanic tremor. Possible lines of development are pointed out.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference14 articles.

1. A. A. Andronov, Les cycles limites de Poincaré et la théorie des oscillations autoen-tretenues, Comptes Rendus de l'Académie des Sciences de Paris 189 (1929) pp. 559–561.

2. THE METHOD OF THE POINT TRANSFORMATIONS IN PIECE-WISE LINEAR SYSTEMS

3. Analogical model for mechanical vibrations in flue organ pipes inferred by independent component analysis

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