Devaney chaos, Li–Yorke chaos, and multi-dimensional Li–Yorke chaos for topological dynamics
نویسندگان
چکیده
منابع مشابه
About Chaos and Sensitivity in Topological Dynamics
In this work we unify and generalize some results about chaos and sensitivity. Date: March 21, 2005.
متن کاملChaos/Complexity Theory and Education
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...
متن کاملMeasuring topological chaos.
The orbits of fluid particles in two dimensions effectively act as topological obstacles to material lines. A spacetime plot of the orbits of such particles can be regarded as a braid whose properties reflect the underlying dynamics. For a chaotic flow, the braid generated by the motion of three or more fluid particles is computed. A "braiding exponent" is then defined to characterize the compl...
متن کاملChaotic iterations and topological chaos
Chaotic iterations have been introduced on the one hand by Chazan, Miranker [5] and Miellou [9] in a numerical analysis context, and on the other hand by Robert [11] and Pellegrin [10] in the discrete dynamical systems framework. In both cases, the objective was to derive conditions of convergence of such iterations to a fixed state. In this paper, a new point of view is presented, the goal her...
متن کاملPeriodicity versus Chaos in One-Dimensional Dynamics
We survey recent results in one-dimensional dynamics, and as an application, we derive rigorous basic dynamical facts for two standard models in population dynamics, the Ricker and the Hassell families. We also informally discuss the concept of chaos in the context of one-dimensional discrete time models. First we use the model case of the quadratic family for an informal exposition and then we...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2017
ISSN: 0022-0396
DOI: 10.1016/j.jde.2017.06.021