Publication detail

Synthesis of Predictive Models of Nonlinear Devices: The Intutitive Approach

BIOLEK, D. BIOLEK, Z. BIOLKOVÁ, V. KOLKA, Z.

Original Title

Synthesis of Predictive Models of Nonlinear Devices: The Intutitive Approach

English Title

Synthesis of Predictive Models of Nonlinear Devices: The Intutitive Approach

Type

conference paper

Language

en

Original Abstract

Chua's concept of predictive modeling leads to the modeling of complicated devices via interconnected models of fundamental building blocks. This paper proposes a procedure of the synthesis of nonlinear dynamic systems, described by their differential equations of motion, from Chua's two-terminal higher-order elements. It is also highlighted that in some cases the synthesis is impossible without the use of multi-terminal building blocks. Two examples demonstrating such a synthesis are given, the generalized Van der Pol oscillator and the Hodgkin-Huxley models of potassium and sodium ion-channels as memristive systems.

English abstract

Chua's concept of predictive modeling leads to the modeling of complicated devices via interconnected models of fundamental building blocks. This paper proposes a procedure of the synthesis of nonlinear dynamic systems, described by their differential equations of motion, from Chua's two-terminal higher-order elements. It is also highlighted that in some cases the synthesis is impossible without the use of multi-terminal building blocks. Two examples demonstrating such a synthesis are given, the generalized Van der Pol oscillator and the Hodgkin-Huxley models of potassium and sodium ion-channels as memristive systems.

Keywords

predictive model; synthesis; memristor; Chua's higher-order elements; constitutive relation; Van der Pol oscillator; Hodgkin-Huxley model.

Released

15.09.2018

Publisher

VDE VERLAG GMBH

Location

Berlin, Offenbach

ISBN

978-3-8007-4756-6

Book

Advances in Neural Networks and Applications 2018 (ANNA'18)

Pages from

23

Pages to

28

Pages count

6

BibTex


@inproceedings{BUT151077,
  author="Dalibor {Biolek} and Zdeněk {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="Synthesis of Predictive Models of Nonlinear Devices: The Intutitive Approach",
  annote="Chua's concept of predictive modeling leads to the modeling of complicated devices via interconnected models of fundamental building blocks. This paper proposes a procedure of the synthesis of nonlinear dynamic systems, described by their differential equations of motion, from Chua's two-terminal higher-order elements. It is also highlighted that in some cases the synthesis is impossible without the use of multi-terminal building blocks. Two examples demonstrating such a synthesis are given, the generalized Van der Pol oscillator and the Hodgkin-Huxley models of potassium and sodium ion-channels as memristive systems.",
  address="VDE VERLAG GMBH",
  booktitle="Advances in Neural Networks and Applications 2018 (ANNA'18)",
  chapter="151077",
  howpublished="online",
  institution="VDE VERLAG GMBH",
  year="2018",
  month="september",
  pages="23--28",
  publisher="VDE VERLAG GMBH",
  type="conference paper"
}