On the Lagrangians and potentials of a two coupled damped Duffing oscillators system and their application on three-node motif networks
Título del documento: On the Lagrangians and potentials of a two coupled damped Duffing oscillators system and their application on three-node motif networks
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000453885
ISSN: 0035-001X
Autors: 1
1
1
1
2
Institucions: 1Universidad de Guadalajara, Centro Universitario de los Lagos, Lagos de Moreno, Jalisco. México
2Universidad Autónoma de Aguascalientes, Departamento de Matemáticas y Física, Aguascalientes. México
Any:
Període: Jul-Ago
Volum: 66
Número: 4
Paginació: 440-445
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés In this work, we investigate the Lagrangians and potentials for two coupled damped Duffing oscillators both directionally and bi-directionally. We show that, although it is not always possible to define a potential in dissipative systems, the potential of our model can be defined if the damping coefficient has a logarithmic derivative form. It is possible to apply these results to the analysis of the dynamics of complex networks based on three-node motif configurations. As an example, we study numerically the dynamics for one of the thirteen different possible configurations. Here, the phenomenon of synchronization is observed in terms of the coupling parameter
Disciplines Física y astronomía
Paraules clau: Física,
Oscilador de Duffing,
Red de motivos,
Lagrangiano,
Osciladores acoplados,
Sistemas amortiguados
Keyword: Physics,
Duffing oscillator,
Motif network,
Lagrangian,
Coupled oscillators,
Damped systems
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