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Mathematical Analysis of Synchronization from the Perspective of Network Science

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Mathematical Analysis of Continuum Mechanics and Industrial Applications

Part of the book series: Mathematics for Industry ((MFI,volume 26))

Abstract

In this chapter, we discuss the mathematical analysis of synchronization with focusing on that of the Kuramoto–Sakaguchi equation. We also introduce related topics from the perspective of network science. The solvability and existence of vanishing diffusion coefficient are investigated.

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Author information

Authors and Affiliations

  1. NTT Network Technology Laboratories, 3-9-11 Midori-Cho, Tokyo, Musashino-Shi, 180-8585, Japan

    Hirotada Honda

  2. Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Yokohama, 223-8522, Japan

    Atusi Tani

Authors
  1. Hirotada Honda
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  2. Atusi Tani
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Corresponding author

Correspondence to Hirotada Honda .

Editor information

Editors and Affiliations

  1. Tokyo University of Science, Tokyo, Tokyo, Japan

    Hiromichi Itou

  2. Inst of Science and Engineering, Kanazawa University, Kanazawa, Japan

    Masato Kimura

  3. Fujitsu Ltd., Tokyo, Japan

    Vladimír Chalupecký

  4. Hiroshima Kokusai Gakuin University, Hiroshima, Japan

    Kohji Ohtsuka

  5. Kyushu University, Fukuoka, Fukuoka, Japan

    Daisuke Tagami

  6. Asahi Glass Co., Ltd., Tokyo, Tokyo, Japan

    Akira Takada

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Honda, H., Tani, A. (2017). Mathematical Analysis of Synchronization from the Perspective of Network Science. In: Itou, H., Kimura, M., Chalupecký, V., Ohtsuka, K., Tagami, D., Takada, A. (eds) Mathematical Analysis of Continuum Mechanics and Industrial Applications. Mathematics for Industry, vol 26. Springer, Singapore. https://doi.org/10.1007/978-981-10-2633-1_17

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  • DOI: https://doi.org/10.1007/978-981-10-2633-1_17

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2632-4

  • Online ISBN: 978-981-10-2633-1

  • eBook Packages: EngineeringEngineering (R0)

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