Fractal and chaos are two major phenomena in nonlinear systems. A few combinations of chaos with fractal for generating multiscroll attractors are reported. Thus, based on Chua multiscroll chaotic ...

A Strange Attractors program showing the Lorenz Attractor, the Logistic Map, the Yorke Attractors, and the Henon Attractors. GAME. A Barnsley Fractals program showing Iterated Function System fractals ...

Seemingly chaotic systems like the weather and the financial markets are governed by the laws of chaos theory.

Lin, G. and Yang, S. (2017) Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations. Journal of Applied Mathematics and Physics, 5, 2411 ...

There was an attractor; i.e., the system had a preferred set of states. But the same state was never repeated. The only way to describe this structure is as a fractal.

Most musicians have seen fractal images-those hauntingly beautiful pictures generated through mathematical equations. But how many people are aware that the same equations can be used to create ...