2020/08/28 by T. S. Sachin Venkatesh, Venkatesh, T. S. Sachin, Vishak Vikranth +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #Computational Physics (physics.comp-ph) #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Quantum chaos and dynamical systems #Scientific Research and Discoveries #astro-ph.EP #nlin.CD #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.2008.12756
7 pages, 11 figures, Research note based on this article submitted to RNAAS
openalex publication_date 2020/08/28 · arxiv created 2020/09/15 · arxiv updated 2020/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the properties of fractals, the Mandelbrot set and how deterministic chaos ties to the picture. A detailed study on three body systems, one of the major applications of chaos theory was undertaken. Systems belonging to different families produced till date were studied and their properties were analysed. We then segregated them into three classes according to their properties. We suggest that such reviews be carried out in regular intervals of time as there are an infinite number of solutions for three body systems and some of them may prove to be useful in various domains apart from hierarchical systems.