Emergent Behaviour in Arrays of Coupled Nonlinear Oscillators

Abstract

This paper proposes two approaches to the analysis of the different behaviours emerging in arrays of coupled nonlinear oscillators, according to their different parameters of structure, coupling, stiffness or distribution. The first approach is a theoretical analysis of the dynamics of such arrays of coupled nonlinear oscillators, based on a recent tool: Contraction Theory. In the second approach, numerical techniques are employed, for such large arrays, to validate conditions for synchronisation of the system, according to its different parameters, as predicted by the theoretical analysis.

Publication DOI: https://doi.org/10.48780/publications.aston.ac.uk.00021532
Divisions: College of Engineering & Physical Sciences
Additional Information: Copyright © Prévot, P.T.M. 2004. P.T.M. Prévot asserts their moral right to be identified as the author of this thesis. This copy of the thesis has been supplied on condition that anyone who consults it is understood to recognise that its copyright rests with its author and that no quotation from the thesis and no information derived from it may be published without appropriate permission or acknowledgement. If you have discovered material in Aston Publications Explorer which is unlawful e.g. breaches copyright, (either yours or that of a third party) or any other law, including but not limited to those relating to patent, trademark, confidentiality, data protection, obscenity, defamation, libel, then please read our Takedown Policy and contact the service immediately.
Institution: Aston University
Uncontrolled Keywords: nonlinear oscillators,information engineering,arrays
Last Modified: 14 May 2025 12:39
Date Deposited: 19 Mar 2014 12:00
Completed Date: 2004
Authors: Prévot, P.T.M.

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