A Novel Approach to Anharmonicity for a Wealth of Applications in Nonlinear Science Technologies

Journal Article · Tue Apr 19 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3586228· OSTI ID:21513184

Hanusse, Patrick ^[1]

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1. Centre de Recherche Paul Pascal, Universite de Bordeaux-CNRS (France)

We present a new theory of the anharmonicity of nonlinear oscillations that are exhibited by many physical systems. New physical quantities are introduced that describe the departure from linear or harmonic behavior and as far as extremely anharmonic situations. In order to solve the nonlinear phase equation, the key notion of our theory, which controls the anharmonic behavior, a new and fascinating nonlinear trigonometry is designed. These results provide a general and accurate yet compact description of such signals, by far better than the Fourier description, both quantitatively and qualitatively and will benefit many application fields.

• OSTI ID: 21513184
• Journal Information: AIP Conference Proceedings, Vol. 1339, Issue 1; Conference: ICAND 2010: International conference on applications in nonlinear dynamics, Lake Louise, AB (Canada), 21-24 Sep 2010; Other Information: DOI: 10.1063/1.3586228; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANHARMONIC OSCILLATORS
DIFFERENTIAL EQUATIONS
FUNCTIONAL ANALYSIS
NONLINEAR PROBLEMS
OSCILLATIONS
OSCILLATORS
SYMMETRY BREAKING
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
MATHEMATICS