Year: 2012
Type: article
Abstract: In this paper, we study the invariant set of dynamical systems in which attractor and non-attractor sets exist.We aim to carve out a small section of the theory of chaotic dynamical systemsthat of attractorsand outline its fundamental concepts from a computational mathematics perspective.The motivation for this paper is primarily to define what an attractor is and to clarify what distinguishes its various types (non-strange, strange non-chaotic, and strange chaotic).We discuss the Hénon and Lorenz attractors as important examples of this type of chaotic system.
Source: IOSR Journal of Mathematics
DOI: 10.9790/5728-0252531
Author: Md. Shariful Islam Khan
Institution: National University Bangladesh
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2328612969