Nonautonomous systems

1991 ◽  
pp. 85-92
Author(s):  
Alexander Mielke
Keyword(s):  
Nonautonomous Systems

scholarly journals Linearization and Hölder continuity for nonautonomous systems

2021 ◽  
Vol 297 ◽  
pp. 536-574
Author(s):  
Lucas Backes ◽  
Davor Dragičević ◽  
Kenneth J. Palmer
Keyword(s):  
Hölder Continuity ◽  
Holder Continuity ◽  
Nonautonomous Systems

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.

Homoclinical structures in nonautonomous systems: Nonautonomous chaos

1992 ◽  
Vol 2 (3) ◽  
pp. 447-454 ◽  
Author(s):  
L. M. Lerman ◽  
L. P. Shil’nikov
Keyword(s):  
Nonautonomous Systems

UNIFORM ATTRACTORS OF NONAUTONOMOUS DISCRETE REACTION–DIFFUSION SYSTEMS IN WEIGHTED SPACES

2008 ◽  
Vol 18 (03) ◽  
pp. 695-716 ◽  
Author(s):  
BIXIANG WANG
Keyword(s):  
Upper Semicontinuity ◽  
Reaction Diffusion ◽  
Global Attractors ◽  
Weighted Spaces ◽  
Lattice Systems ◽  
Limiting Behavior ◽  
Reaction Diffusion Systems ◽  
Nonautonomous Systems ◽  
Diffusion Systems ◽  
Uniform Attractors

We study the asymptotic behavior of nonautonomous discrete Reaction–Diffusion systems defined on multidimensional infinite lattices. We show that the nonautonomous systems possess uniform attractors which attract all solutions uniformly with respect to the translations of external terms when time goes to infinity. These attractors are compact subsets of weighted spaces, and contain all bounded solutions of the system. The upper semicontinuity of the uniform attractors is established when an infinite-dimensional reaction–diffusion system is approached by a family of finite-dimensional systems. We also examine the limiting behavior of lattice systems with almost periodic, rapidly oscillating external terms in weighted spaces. In this case, it is proved that the uniform global attractors of nonautonomous systems converge to the global attractor of an averaged autonomous system.

Koopman Operator Family Spectrum for Nonautonomous Systems

2018 ◽  
Vol 17 (4) ◽  
pp. 2478-2515 ◽  
Author(s):  
Senka Maćešić ◽  
Nelida Črnjarić-Žic ◽  
Igor Mezić
Keyword(s):  
Operator Family ◽  
Koopman Operator ◽  
Nonautonomous Systems

Nonautonomous systems with transversal homoclinic structures under discretization

2015 ◽  
Vol 56 (2) ◽  
pp. 605-631 ◽  
Author(s):  
Alina Girod ◽  
Thorsten Hüls
Keyword(s):  
Nonautonomous Systems
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