Title :
Multiple-Solution Nature of Chaos Number-Oriented Equations
Author :
Ketata, Chefi ; Satish, Mysore G. ; Islam, M. Rafiqul
Author_Institution :
Dalhousie Univ., Halifax, NS
fDate :
Nov. 28 2006-Dec. 1 2006
Abstract :
Nature is characterized by its chaotic behavior. The forces and processes that individually and collectively control the phenomena of the universe independently of human intervention are described by various equations. These equations need to be solved to understand the behavior of nature. Unfortunately, conventional mathematics has not been able to deal with all nature problems. Therefore, there is an urgent need for novel mathematics to solve complex problems. This paper lays the foundation for solving nature chaotic equations and shows how the universe dimensions determine the nature and number of solutions. It introduces the process to solve and identify the solutions for the simple linear equation x = 2 and quadratic equation x2 = 4 in zero, one, two, three, and more dimensions. As a result, this paper establishes an important fact for chaos equations that is all equations have multiple solutions.
Keywords :
chaos; time-varying systems; chaos number-oriented equations; chaotic behavior; human intervention; nature chaotic equations; Chaos; Computational intelligence; Equations; Force control; H infinity control; Humans; Hydrology; Mathematics; Physics; Relativistic quantum mechanics;
Conference_Titel :
Computational Intelligence for Modelling, Control and Automation, 2006 and International Conference on Intelligent Agents, Web Technologies and Internet Commerce, International Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7695-2731-0
DOI :
10.1109/CIMCA.2006.154