This paper formulates a new approach to the study of chaos in discrete dynamical systems based on the notions of inverse ill-posed problems, set-valued mappings, generalized and multivalued inverses, graphical convergence of a net of functions in an extended multifunction space (Sengupta and Ray, 2000), and the topological theory of convergence. Order, chaos, and complexity are described as dis...

Fifty-four White Rock hens were infested with 2,000 northern fowl mites/ bird and six hens were sampled at nine time periods during the 28,week study. Hens supported an average of 15,028 mites when mites were collected from infested bird carcasses digested with a modification of the Cook's technique. Mite-specific Ilrccipitating antibodies were quantified from hen serum samples with rocket elec...

Sciences exist to demonstrate the fundamental order underlying nature. Chaos/complexity theory is a novel and amazing field of scientific inquiry. Notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (Retrieved from http://www.inc...

The guts of this package consist of the software contained in the diskette that accompanies the text. However, the text is necessary until one becomes familiar with the operations. A subtitle expands as follows: With a Supplementary Diskette Containing PHASER: An Animator/ Simulator for Dynamical Systems for IBM Personal Computers. This tells the potential reader and user basically what to expe...

In this study, we prove that a countably infinite number of one-parameterized one-dimensional dynamical systems preserve the Lebesgue measure and are ergodic for measure. The consider connect parameter region in which exact one almost all orbits diverge to infinity correspond critical points weak chaos tends occur (the Lyapunov exponent converging zero). These results generalization work by Adl...

The Hyperbolic Heat Transfer Equation describes heat processes in which extremely short periods of time or extreme temperature gradients are involved. It is already known that there are solutions of this equation which exhibit a chaotic behaviour, in the sense of Devaney, on certain spaces of analytic functions with certain growth control. We show that this chaotic behaviour still appears when ...

the efficiency and robustness of reliability methods are two important factors in first order reliability method (form). the conjugate choice control (ccc) and directional chaos control method (dcc) were developed to improve the robustness and efficiency of form formula using the stability transformation method. in this paper, the ccc and dcc methods are applied for reliability analysis of a co...

    Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem re...