Volume 102, Number 4, May 2013
|Number of page(s)||5|
|Published online||11 June 2013|
Computing with complex-valued networks of phase oscillators
1 Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo 28223 Pozuelo de Alarcón, Madrid, Spain, EU
2 Faculdade de Ciências e Tecnologia, Departamento de Engenharia Electrotécnica, Universidade Nova de Lisboa Lisboa, Portugal, EU
3 Innaxis Foundation & Research Institute - José Ortega y Gasset 20, 28006, Madrid, Spain, EU
4 CNR - Institute of Complex Systems - Via Madonna del Piano 10, 50019 Sesto Fiorentino, Florence, Italy, EU
Received: 1 March 2013
Accepted: 14 May 2013
A computational paradigm based on phase-locked states of oscillators embedded in a complex-valued weighted network is introduced, and its efficiency and scalability in performing single- and multiple-input Boolean and non-Boolean operations are demonstrated. The paradigm introduces phase rotation mechanisms in each link of the network, without the need for external control loops, or adaptive mechanisms. We show that the proposed computation allows outperforming standard implementations of Boolean logic, by reducing the computational cost of operations, and permitting the construction of memory elements with single dynamical units.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 02.10.Ox – Combinatorics; graph theory / 89.20.Ff – Computer science and technology
© EPLA, 2013
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