scholarly journals Revisiting asymptotic periodicity in networks of degrade-and-fire oscillators

2018 ◽  
Vol 227 (10-11) ◽  
pp. 1267-1279 ◽  
Author(s):  
Bastien Fernandez
Keyword(s):  
Asymptotic Periodicity

scholarly journals Asymptotic Periodicity for a Class of Partial Integrodifferential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Alejandro Caicedo ◽  
Claudio Cuevas ◽  
Hernán R. Henríquez
Keyword(s):  
Heat Conduction ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Integral Equations ◽  
Integrodifferential Equations ◽  
Materials With Memory ◽  
Asymptotic Periodicity ◽  
With Memory ◽  
Equations With Delay

We study the existence of S-asymptotically ω-periodic solutions for a class of abstract partial integro-differential equations and for a class of abstract partial integrodifferential equations with delay. Applications to integral equations arising in the study of heat conduction in materials with memory are shown.

scholarly journals On asymptotic periodicity of kernel double Markovian operators

Positivity ◽  
2020 ◽  
Author(s):  
Wojciech Bartoszek ◽  
Michał Krzemiński
Keyword(s):  
Asymptotic Periodicity

scholarly journals Regulatory dynamics on random networks: asymptotic periodicity and modularity

Nonlinearity ◽  
2008 ◽  
Vol 21 (3) ◽  
pp. 537-556 ◽  
Author(s):  
A Cros ◽  
A Morante ◽  
E Ugalde
Keyword(s):  
Random Networks ◽  
Regulatory Dynamics ◽  
Asymptotic Periodicity

Asymptotic Periodicity for Flexible Structural Systems and Applications

2015 ◽  
Vol 143 (1) ◽  
pp. 105-164 ◽  
Author(s):  
Bruno de Andrade ◽  
Claudio Cuevas ◽  
Clessius Silva ◽  
Herme Soto
Keyword(s):  
Structural Systems ◽  
Asymptotic Periodicity

scholarly journals Asymptotic (statistical) periodicity in two-dimensional maps

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Fumihiko Nakamura ◽  
Michael C. Mackey
Keyword(s):  
Dynamical System ◽  
Bounded Variation ◽  
High Dimensional ◽  
Sufficient Condition ◽  
Two Dimensional ◽  
Function Of Bounded Variation ◽  
Dimensional Dynamical System ◽  
Asymptotic Periodicity ◽  
Parameter Values

<p style='text-indent:20px;'>In this paper we give a new sufficient condition for the existence of asymptotic periodicity of Frobenius–Perron operators corresponding to two–dimensional maps. Asymptotic periodicity for strictly expanding systems, that is, all eigenvalues of the system are greater than one, in a high-dimensional dynamical system was already known. Our new result enables one to deal with systems having an eigenvalue smaller than one. The key idea for the proof is to use a function of bounded variation defined by line integration. Finally, we introduce a new two-dimensional dynamical system numerically exhibiting asymptotic periodicity with different periods depending on parameter values, and discuss the application of our theorem to the example.</p>

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