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Plykin type attractor in electronic device simulated in MULTISIM.

Sergey P Kuznetsov¹

¹Kotel'nikov's Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov, 410019, Russian Federation.

Chaos (Woodbury, N.Y.)

|January 10, 2012

Summary

This study introduces an electronic device exhibiting chaotic dynamics, specifically a Plykin-type hyperbolic chaotic attractor. The device demonstrates structural stability, making its chaotic behavior robust against parameter variations and noise.

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Area of Science:

Non-linear dynamics
Electronic systems engineering
Chaos theory

Background:

Chaotic attractors are fundamental in understanding complex dynamical systems.
Plykin-type attractors represent a specific class of hyperbolic chaotic attractors.
Electronic implementations of chaotic systems offer practical applications.

Purpose of the Study:

To propose an electronic device that models a non-autonomous dynamical system with a Plykin-type hyperbolic chaotic attractor.
To evaluate the simulation results of this electronic device using NI MULTISIM.
To compare these simulation results with numerical integration of the governing differential equations.

Main Methods:

Development of an electronic device designed to exhibit chaotic dynamics.
Simulation of the electronic device using the NI MULTISIM software package.
Numerical integration of the underlying differential equations for comparative analysis.

Main Results:

The electronic device successfully replicates a non-autonomous dynamical system with a Plykin-type hyperbolic chaotic attractor.
Simulations in NI MULTISIM align with numerical integration results.
The proposed electronic system exhibits significant structural stability.

Conclusions:

Electronic devices can effectively emulate complex chaotic attractors like the Plykin type.
Structural stability is a key practical advantage, ensuring reliable chaotic dynamics.
This work validates simulation tools for analyzing chaotic electronic systems.