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Latin American Workshop on Computational Neuroscience

LAWCN 2017: Computational Neuroscience pp 17–30Cite as

Chaotic Synchronization of Neural Networks in FPGA

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 720))

Abstract

The objective of this work is to obtain a complete synchronization of Hopfield Neural Networks (HNN) with a delay using a Field Programmable Gate Array (FPGA) simulating in real-time a Natural Neural Networks (NNN). This work is motivated by research in Neurosciences involving the implantation of chips between the skull and the brain to prevent or ameliorate diseases such as Parkinson’s, Epilepsy and Depression. Our contribution is the introduction of new synchronization techniques based on the Qualitative Theory of Differential Equations, Chaos Theory and Algebraic Topology substituting calculations using the Lyapunov Stability Criterion (LSC). The presented technique does not depend on the Neural Networks to be synchronized but also presents a lower computational cost in comparison with previous works. The results show that FPGAs are good platforms for such experiments.

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Author information

Authors and Affiliations

  1. Institute of Informatics, PPGC/PGMicro, Federal University of Rio Grande do Sul (UFRGS), Mailbox 15.064, Porto Alegre, RS, 91.501-970, Brazil

    Elias de Almeida Ramos, Vitor Bandeira, Ricardo Reis & Guilherme Bontorin

Authors
  1. Elias de Almeida Ramos
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  2. Vitor Bandeira
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  3. Ricardo Reis
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  4. Guilherme Bontorin
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Corresponding author

Correspondence to Elias de Almeida Ramos .

Editor information

Editors and Affiliations

  1. Federal University of Rio Grande do Sul, Porto Alegre, Brazil

    Dante Augusto Couto Barone

  2. Federal Institute of Education, Science and Technology of Bahia, Camacari, Brazil

    Eduardo Oliveira Teles

  3. Federal Institute of Education, Science and Technology Farroupilha, Santa Maria, Brazil

    Christian Puhlmann Brackmann

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de Almeida Ramos, E., Bandeira, V., Reis, R., Bontorin, G. (2017). Chaotic Synchronization of Neural Networks in FPGA. In: Barone, D., Teles, E., Brackmann, C. (eds) Computational Neuroscience. LAWCN 2017. Communications in Computer and Information Science, vol 720. Springer, Cham. https://doi.org/10.1007/978-3-319-71011-2_2

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  • DOI: https://doi.org/10.1007/978-3-319-71011-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-71010-5

  • Online ISBN: 978-3-319-71011-2

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