TITLE:
A Novel Triangular Chaotic Map (TCM) with Full Intensive Chaotic Population Based on Logistic Map
AUTHORS:
Mahmoud Maqableh
KEYWORDS:
Chaos, Chaotic Maps, Triangular Chaotic Map, Logistic Map, Lyapunov Exponent
JOURNAL NAME:
Journal of Software Engineering and Applications,
Vol.8 No.12,
December
31,
2015
ABSTRACT: Chaos theory attempts to explain the result
of a system that is sensitive to initial conditions, complex, and shows an
unpredictable behaviour. Chaotic systems are sensitive to any change or changes
in the initial condition(s) and are unpredictable in the long term. Chaos
theory are implementing today in many different fields of studies. In this
research, we propose a new one-dimensional Triangular Chaotic Map (TCM) with
full intensive chaotic population. TCM chaotic map is a one-way function that
prevents the finding of a relationship between the successive output values and
increases the randomness of output results. The tests and analysis results of
the proposed triangular chaotic map show a great sensitivity to initial
conditions, have unpredictability, are uniformly distributed and random-like
and have an infinite range of intensive chaotic population with large positive
Lyapunov exponent values. Moreover, TCM characteristics are very promising for
possible utilization in many different study fields.