chaos theory discusses unstable and non-periodic behavior of non-linear fluctuating dynamicsystems. since evaporation level variations of lakes have a dynamic identity, chaos theory can have a uniquerole in collecting data of these variations. therefore it is an important and challenging problem in the field ofplanning and qualitative and quantitative management of urmia lake to verify whether ...

The notion of topological equivalence plays an essential role in the study dynamical systems flows. However, it is inherently difficult to generalize this concept without well-posedness sense Hadamard. In study, we formulate a “topological equivalence” between such based on axiomatic theory dynamics proposed by Yorke, and discuss its relation with usual definition. During process, Yorke's actio...

Tridactylogonus warrenbenensissp. n. is described from Warrenben Conservation Park at the southern end of the Yorke Peninsula in South Australia. Like T. obscurus Jeekel, 1982 and T. rugosissimus Jeekel, 2002, the new species has prominent cellular sculpturing on the prozonites and granulose sculpturing on parts of the metazonites. Unlike its congeners and most species in the subfamily Australi...

Correlation dimension is attained from the correlations between random points on the attractor. For an one dimensional discrete dynamical system with initial condition, x0 Lyapunov exponent (x0) is defined. The Henon map is a discrete time dynamical system. In logistic map is quadratic. The Kaplan-Yorke map is a discrete -time dynamical system. A nnr ( ) subroutine is written to find all mean n...

In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chao...

Recent work on a symbolic approach to the calculation of probability distributions arising in the application of the Ott-Grebogi-Yorke strategy to transiently chaotic tent maps is extended to the case of control to a nontrivial periodic orbit. Closed forms are derived for the probability of control being achieved and the average number of iterations to control when it occurs. Both single-compon...

For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an ...