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Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook.

Miroslav Rujzl¹, Ladislav Polak¹, Jiri Petrzela¹

¹Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 3082/12, 616 00 Brno, Czech Republic.

Sensors (Basel, Switzerland)

|April 13, 2023

Summary

This study presents a universal development kit for modeling complex dynamical systems using analog computing principles. The hybrid analog computer design enables accurate simulation of systems up to fourth order, with accessible documentation for replication.

Keywords:

analog computer chaotic system circuit synthesis strange attractor transfer function

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Area of Science:

Engineering
Computational Science
Electronics

Background:

Dynamical systems modeling is crucial across various scientific disciplines.
Existing analog computing approaches often lack flexibility for complex systems.

Purpose of the Study:

To design and validate a universal development kit for modeling complex dynamical systems.
To enable the synthesis of arbitrary mathematical models using a hybrid analog-digital approach.

Main Methods:

Development of a hybrid analog computer kit incorporating digital blocks and converters (ADCs and DACs).
Implementation of piecewise-linear and polynomial input-output characteristics using analog multipliers.
Verification through experimental scenarios including oscillators and chaotic attractors.

Main Results:

Successful modeling of dynamical systems up to the fourth order.
Demonstration of synthesizing complex mathematical models with flexible input-output characteristics.
Validation of the kit's performance with diverse dynamic behaviors.

Conclusions:

The proposed universal development kit offers a versatile platform for analog computation.
The hybrid design facilitates the accurate modeling of complex dynamical systems.
Open access to design documentation and source code promotes replication and further development.