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Complex Dynamics and Hidden Attractors in Delayed Impulsive Systems

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Chaotic Systems with Multistability and Hidden Attractors

Part of the book series: Emergence, Complexity and Computation ((ECC,volume 40))

Abstract

Differential equations with impulses (jumps) constitute a wide class of functional differential equations and play a significant role in various fields of science and technology (see, e.g. [1,2,3]). First papers on impulsive equations with delay date back to the 1980s [4, 5]. Later, the theory of delay impulsive equations was developed in depth in a number of publications, see e.g. Refs. [6,7,8,9,10,11,12,13,14].

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Acknowledgements

A. N. Churilov was partly supported by the Government of Russian Federation, Grant 08-08. A. Medvedev was in part financed by Grant 2015-05256 from the Swedish Research Council.

Author information

Authors and Affiliations

  1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Stary Peterhof, Universitetsky av. 28, 198504, St. Petersburg, Russia

    Alexander N. Churilov

  2. Laboratory of Multi-Agent, Distributed and Networked Control Systems, ITMO University, Kronverkskiy Pr. 49, 197101, St. Petersburg, Russia

    Alexander N. Churilov

  3. Department of Information Technology, Uppsala University, Lägerhyddsvägen 2, SE-751 05, Uppsala, Sweden

    Alexander Medvedev

  4. Department of Computer Science, International Scientific Laboratory for Dynamics of Non-Smooth Systems, Southwest State University, 50 Years of October Str. 94, 305040, Kursk, Russia

    Zhanybai T. Zhusubaliyev

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  1. Alexander N. Churilov
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Editors and Affiliations

  1. Institute for Advanced Studies, Shenzhen University, Shenzhen, China

    Xiong Wang

  2. Faculty of Information Technology, The University of Jyväskylä, Jyväskylä, Finland

    Nikolay V. Kuznetsov

  3. Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China

    Guanrong Chen

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Churilov, A.N., Medvedev, A., Zhusubaliyev, Z.T. (2021). Complex Dynamics and Hidden Attractors in Delayed Impulsive Systems. In: Wang, X., Kuznetsov, N.V., Chen, G. (eds) Chaotic Systems with Multistability and Hidden Attractors. Emergence, Complexity and Computation, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-030-75821-9_17

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