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Interactive and Visualized Online Experimentation System for Engineering Education and Research

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Published on: November 24, 2021

A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design.

Tomasz Kapitaniak¹, S Alireza Mohammadi², Saad Mekhilef²

¹Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.

Entropy (Basel, Switzerland)

|December 3, 2020

Summary

This study presents a novel 3D chaotic system with hidden attractors, demonstrating its potential for engineering applications through detailed analysis and circuit design.

Keywords:

chaotic flow entropy hidden attractor multistable

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The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

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Published on: October 14, 2017

Area of Science:

Nonlinear Dynamics
Chaos Theory
Engineering Applications

Background:

Multistable dynamic systems are crucial in various engineering fields.
Understanding systems with hidden strange attractors is an active research area.

Purpose of the Study:

Introduce a new three-dimensional chaotic system.
Investigate the dynamic properties of this multistable system.
Demonstrate its engineering feasibility.

Main Methods:

Equilibrium analysis
Bifurcation diagram generation
Lyapunov exponent calculation
Entropy analysis
Parameter estimation
Circuit design

Main Results:

A new 3D chaotic system with one stable equilibrium and a hidden strange attractor was developed.
Dynamic properties were thoroughly analyzed, confirming its chaotic nature.
Feasibility for engineering applications was validated through entropy analysis, parameter estimation, and circuit implementation.

Conclusions:

The proposed system exhibits complex dynamics suitable for advanced applications.
The system's hidden attractor and multistability offer unique characteristics for engineering.
The successful circuit design confirms the practical viability of this chaotic system.