Nonlinear Hybrid Continuous/Discrete-Time Models

Nonlinear Hybrid Continuous/Discrete-Time Models

Marat Akhmet

67,09 €
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Editorial:
Springer Nature B.V.
Año de edición:
2011
ISBN:
9789491216022

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The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.

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Otros libros del autor

  • Nonlinear Hybrid Continuous/Discrete-Time Models
    Marat Akhmet
    The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constan...
    Disponible

    68,44 €

  • Principles of Discontinuous Dynamical Systems
    Marat Akhmet
    Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest.Principles of Discontinuous Dynamical Systems is devoted to the theory of differential equations with variable moments of i...