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Normal Hyperbolicity of Manifolds of Equilibria in Nonlinear Circuits with Mem-Devices

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Progress in Industrial Mathematics at ECMI 2012

Part of the book series: Mathematics in Industry ((TECMI,volume 19))

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Abstract

The memristor and other mem-devices are displaying a great impact on modern electronics. We examine in this communication certain dynamical features of circuits with memristors, memcapacitors and meminductors, related to the systematic presence of non-isolated equilibria in these nonlinear circuits.

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Acknowledgements

Research supported by Project MTM2010 -15102 of Ministerio de Ciencia e Innovación, Spain.

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Authors and Affiliations

  1. Depto. Matemática Aplicada TTI, ETSI Telecomunicación, Universidad Politécnica de Madrid, Ciudad Universitaria s/n, 28040, Madrid, Spain

    Ricardo Riaza

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  1. Ricardo Riaza
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Correspondence to Ricardo Riaza .

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Editors and Affiliations

  1. Lunds Universitet, Centre for Mathematical Sciences, Lund, Sweden

    Magnus Fontes

  2. Bergische Universität Wuppertal, Applied Math. and Numerical Analysis, Wuppertal, Germany

    Michael Günther

  3. Lehrstuhl für Angew.Math. 1, Friedrich-Alexander-Universität Erlangen, Department of Mathematics, Erlangen, Germany

    Nicole Marheineke

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Riaza, R. (2014). Normal Hyperbolicity of Manifolds of Equilibria in Nonlinear Circuits with Mem-Devices. In: Fontes, M., Günther, M., Marheineke, N. (eds) Progress in Industrial Mathematics at ECMI 2012. Mathematics in Industry(), vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-05365-3_1

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