Unpredictability, Uncertainty and Fractal Structures in Physics

Miguel A. F. SANJUAN

Article Details

Unpredictability, Uncertainty and Fractal Structures in Physics

Authors:

Miguel A. F. SANJUAN

Publisher:

Akif AKGÜL

Main Topics:

Physics

Journal:

Chaos Theory and Applications 2021 Vol.3 Issue 2, pp.43-46

Document Type:

Article

Publication Date:

11/2021

Document Language:

English

Document ID (Org No.):

2000906144

Frequency:

Tri-annual

eISSN:

2687-4539

Abstract:

 

In Physics, we have laws that determine the time evolution of a given physical system, depending on its parameters and its initial conditions. When we have multi-stable systems, many attractors coexist so that their basins of attraction might possess fractal or even Wada boundaries in such a way that the prediction becomes more complicated depending on the initial conditions. Chaotic systems typically present fractal basins in phase space. A small uncertainty in the initial conditions gives rise to a certain unpredictability of the final state behavior. The new notion of basin entropy provides a new quantitative way to measure the unpredictability of the final states in basins of attraction. Simple methods from chaos theory can contribute to a better understanding of fundamental questions in physics as well as other scientific disciplines.

Article Details

Unpredictability, Uncertainty and Fractal Structures in Physics

Authors: Miguel A. F. SANJUAN

Publisher: Akif AKGÜL

Main Topics: Physics

Journal: Chaos Theory and Applications 2021 Vol.3 Issue 2, pp.43-46

Document Type: Article

Publication Date: 11/2021

Document Language: English

Document ID (Org No.): 2000906144

Frequency: Tri-annual

eISSN: 2687-4539

Issues

Authors:

Miguel A. F. SANJUAN

Publisher:

Akif AKGÜL

Main Topics:

Physics

Journal:

Chaos Theory and Applications 2021 Vol.3 Issue 2, pp.43-46

Document Type:

Article

Publication Date:

11/2021

Document Language:

English

Document ID (Org No.):

2000906144

Frequency:

Tri-annual

eISSN:

2687-4539