Results 61 to 70 of about 166 (142)

Dynamical Systems in Categories

open access: yes, 2013
In this article we establish a bridge between dynamical systems, including topological and measurable dynamical systems as well as continuous skew product flows and nonautonomous dynamical systems; and coalgebras in categories having all finite products.
Kerkhoff, Sebastian   +4 more
core  

The Representation of Time and Change in Mechanics [PDF]

open access: yes, 2005
This paper is concerned with the representation of time and change in classical (i.e., non-quantum) physical theories. One of the main goals is to attempt to clarify the nature and scope of the so-called problem of time: a knot of technical and ...
Belot, Gordon
core  

Chaotic Behaviour on Invariant Sets of Linear Operators

open access: yes, 2015
We study hypercyclicity, Devaney chaos, topological mixing properties and strong mixing in the measure-theoretic sense for operators on topological vector spaces with invariant sets.
Murillo Arcila, Marina   +1 more
core   +1 more source

Reversal-time dynamics of two-dimensional non-autonomous systems [PDF]

open access: yes
This study, we discusses the topological type of nonautonomous systems with periodic solutions when the time variable t increases negatively. When linear approximation holds near a fixed point of the Poincaré map, we confirm that the bifurcation points ...
Katayama, Michiru   +6 more
core  

On Aspects of Numerical Ergodic Theory - Stability of Ulam's Method, Computing Oseledets Subspaces, and Optimal Mixing

open access: yes, 2016
A dynamical system is a pairing between a set of states X ⊂Rd and a map T : X -> X which describes how the system evolves from state-to-state over time.
Watson, T. M., Watson, Thomas
core   +1 more source

Global Attractors of Non-autonomous Difference Equations

open access: yes
The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations, in particular we give the conditions for the existence of a compact global attractor.
David Cheban   +2 more
core  

Constructing Turing complete Euler flows in dimension 3. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Cardona R   +3 more
europepmc   +1 more source

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