scholarly journals Devaney chaos plus shadowing implies distributional chaos

2016 ◽  
Vol 26 (9) ◽  
pp. 093103 ◽  
Author(s):  
Jian Li ◽  
Jie Li ◽  
Siming Tu
Keyword(s):  
Distributional Chaos ◽  
Devaney Chaos

scholarly journals Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Xavier Barrachina ◽  
J. Alberto Conejero
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Semigroups Of Operators ◽  
Partial Differential ◽  
Linear Dynamics ◽  
Distributional Chaos ◽  
Devaney Chaos

The notion of distributional chaos has been recently added to the study of the linear dynamics of operators andC0-semigroups of operators. We will study this notion of chaos for some examples ofC0-semigroups that are already known to be Devaney chaotic.

The three versions of distributional chaos

2005 ◽  
Vol 23 (5) ◽  
pp. 1581-1583 ◽  
Author(s):  
F. Balibrea ◽  
J. Smı́tal ◽  
M. Štefánková
Keyword(s):  
Distributional Chaos

scholarly journals Distributional chaos for flows

2013 ◽  
Vol 63 (2) ◽  
pp. 475-480
Author(s):  
Yunhua Zhou
Keyword(s):  
Distributional Chaos

A Class of Hyperspace Systems and Distributional Chaos

2014 ◽  
Vol 670-671 ◽  
pp. 1570-1572
Author(s):  
Wei Wang ◽  
Xiao Gang Zhu
Keyword(s):  
Dynamical System ◽  
Difference Equation ◽  
Agricultural Production ◽  
Irrigation District ◽  
Corn Yield ◽  
Primitive Substitution ◽  
Yield Analysis ◽  
Distributional Chaos ◽  
Dynamical Properties ◽  
Ecological Difference

Research on dynamical system has penetrated into many problems of agricultural production, such as prediction of corn yield, analysis on operational situation of irrigation district and research on ecological difference equation. In this paper, we investigated dynamical properties for non-primitive substitution and the set-valued maps induced by the substitution. We proved In two cases that the hyperspace systems induced by non-primitive substitution are not distributional chaotic.

Distributional Chaos on Uniform Spaces

2020 ◽  
Vol 19 (1) ◽  
Author(s):  
Sejal Shah ◽  
Tarun Das ◽  
Ruchi Das
Keyword(s):  
Uniform Spaces ◽  
Distributional Chaos

On the local aspects of distributional chaos

2019 ◽  
Vol 29 (1) ◽  
pp. 013104 ◽  
Author(s):  
Ryszard J. Pawlak ◽  
Anna Loranty
Keyword(s):  
Distributional Chaos

scholarly journals Some Chaos Notions on Dendrites

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1309
Author(s):  
Asmaa Fadel ◽  
Syahida Che Dzul-Kifli
Keyword(s):  
Dynamical System ◽  
Chaotic Dynamical System ◽  
Devaney Chaos

Transitivity is a key element in a chaotic dynamical system. In this paper, we present some relations between transitivity, stronger and alternative notions of it on compact and dendrite spaces. The relation between Auslander and Yorke chaos and Devaney chaos on dendrites is also discussed. Moreover, we prove that Devaney chaos implies strong dense periodicity on dendrites while the converse is not true.

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