scholarly journals All-time Morse decompositions of linear nonautonomous dynamical systems

2007 ◽  
Vol 136 (03) ◽  
pp. 1045-1056 ◽  
Author(s):  
Martin Rasmussen
Keyword(s):  
Dynamical Systems ◽  
Nonautonomous Dynamical Systems ◽  
Morse Decompositions

scholarly journals On some kinds of dense orbits in general nonautonomous dynamical systems

2020 ◽  
Vol 7 (1) ◽  
pp. 163-175
Author(s):  
Mehdi Pourbarat
Keyword(s):  
Dynamical Systems ◽  
Initial Conditions ◽  
Point Of View ◽  
Topological Conjugacy ◽  
Topological Transitivity ◽  
Nonautonomous Systems ◽  
Nonautonomous Dynamical Systems ◽  
Sensitive Dependence ◽  
Dense Orbits

AbstractWe study the theory of universality for the nonautonomous dynamical systems from topological point of view related to hypercyclicity. The conditions are provided in a way that Birkhoff transitivity theorem can be extended. In the context of generalized linear nonautonomous systems, we show that either one of the topological transitivity or hypercyclicity give sensitive dependence on initial conditions. Meanwhile, some examples are presented for topological transitivity, hypercyclicity and topological conjugacy.

scholarly journals Impulses in driving semigroups of nonautonomous dynamical systems: Application to cascade systems

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Everaldo de Mello Bonotto ◽  
◽  
Matheus Cheque Bortolan ◽  
Rodolfo Collegari ◽  
José Manuel Uzal ◽  
...  
Keyword(s):  
Dynamical Systems ◽  
Cascade Systems ◽  
Nonautonomous Dynamical Systems
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