New chaotic system, a compromise between structural simplicity and the complexity of its dynamic behaviour
Keywords:
Nonlinear dynamics; Chaos; Strange attractor; Bifurcation; Lyapunov exponents; Poincare section.Abstract
Our paper focuses on the discovery and analysis of a recently identified three-dimensional chaotic model. This research presents a remarkable system characterised by its ease of implementation, but which exhibits a more complex dynamic behaviour, exceeding that of many similar chaotic systems. By unravelling the underlying mechanisms of this system through the analysis of eigenvalues, bifurcation diagrams and Lyapunov exponents, its chaotic behaviour is verified by building an electronic circuit. The experimental behaviour is in agreement with the numerical studies. This paper paves the way for further exploitation of the unique interplay between simplicity and complexity in chaotic systems, promising applications in various scientific disciplines.
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