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Chaotic synchronization of regular and irregular complex networks with fractional order oscillators

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Abstract

Synchronization of N-coupled fractional-order (FO) chaotic oscillators arranged in regular and irregular topologies is numerically studied. Synchronization is achieved based on the coupling matrix from the complex systems theory. In particular, we consider complex dynamical networks composed by Lorenz, Volta, Duffing and Financial FO chaotic oscillators, where the interaction of the nodes is defined by coupling only one state of each FO oscillator.

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Author information

Authors and Affiliations

  1. Instituto Tecnológico de Sonora, Sonora, Mexico

    Sara Angulo-Guzman

  2. Universidad Autónoma de Nuevo León, Av. Universidad SN., Cd. Universitaria, C.P. 66455, México, México

    Cornelio Posadas-Castillo, Miguel Angel Platas-Garza & David Alejandro Diaz-Romero

  3. Centro universitario de los Lagos, Universidad de Guadalajara, Guadalajara, México

    Didier Lopez-Mancilla

Authors
  1. Sara Angulo-Guzman
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  2. Cornelio Posadas-Castillo
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  3. Miguel Angel Platas-Garza
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  4. David Alejandro Diaz-Romero
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  5. Didier Lopez-Mancilla
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Corresponding author

Correspondence to Cornelio Posadas-Castillo.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Ju Hyun Park. This work was supported by CONACYT, México under Research Grant No. 166654; PAICYT, México under Research Grant IT956-11; PROMEP, México under Research Grant No. 103.5/11/4330; and by “Facultad de Ingeniería Mecánica y Eléctrica”.

Sara Angulo-Guzman was born in Cd. Obregón, Sonora, México in 1987. She received the B.Sc. degree from the Technological Institute of Sonora (ITSON) in 2009 and the M.Sc. degree electrical engineering from Autonomous University of Nuevo Leon (UANL) in 2012. She is currently a professor at the Department of Electrical and Electronic Engineering at the Technological Institute of Sonora. Her research interests include synchronization and control of complex dynamical systems.

Cornelio Posadas-Castillo received the Engineer Degree in Control and Computation from the Autonomous University of Nuevo León, in 1997, Master in Science Degree in Electronics and Telecommunications, from CICESE in 2001, and Ph.D. degree in electrical from Baja California Autonomous University, in 2008. Since 1997, he has been Associated Professor of the University Autonomous of Nuevo León, México. His research interests include Chaos Synchronization, control of complex systems, nonlinear systems analysis, and private communications.

Miguel Angel Platas-Garza received his Ph.D. degree in Electrical Engineering from the Universidad Autónoma de Nuevo León (UANL), México in 2011. He holds currently an Associate Professor position at the UANL.

David Alejandro Diaz-Romero received his BSc (Eng.) and MSc. degrees from Universidad Autónoma de Nuevo León, Mexico and his PhD degree in automatic control theory from The University of Sheffield, U.K. He has worked in industry and academics. He currently holds a full time researcher position at Universidad Autónoma de Nuevo León, Mexico.

Didier Lopez-Mancilla received his Ph.D. degree in Electronics and Telecommunications from Scientific Research and Advances Studies of Ensenada, CICESE, México, in 2005. He has been working for University of Guadalajara as a researcher since 2006. He is a Professor of Control Theory for Mechatronics Engineering and he is currently the leader of the research group Applications in Optics and Electronics.

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Angulo-Guzman, S., Posadas-Castillo, C., Platas-Garza, M.A. et al. Chaotic synchronization of regular and irregular complex networks with fractional order oscillators. Int. J. Control Autom. Syst. 14, 1114–1123 (2016). https://doi.org/10.1007/s12555-015-0168-y

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  • DOI: https://doi.org/10.1007/s12555-015-0168-y

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