topology. The central object of study in topological dynamics is a topological dynamical system, i.e. a topological space, together with a continuous transformation...

point's time dependency Topological dynamics, the study of dynamical systems from the viewpoint of general topology Symbolic dynamics, a method to model dynamical...

Topological ideas are relevant to fluid dynamics (including magnetohydrodynamics) at the kinematic level, since any fluid flow involves continuous deformation...

to the projected differential equation. Symbolic dynamics is the practice of modelling a topological or smooth dynamical system by a discrete space consisting...

§ Topological equivalence of flows, are important in the study of iterated functions and more generally dynamical systems, since, if the dynamics of...

In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity of...

similar definition exists in topological dynamics. Given a class C {\displaystyle \textstyle {\mathcal {C}}} of topological spaces, U ∈ C {\displaystyle...

J.; Rao, F.; Kühne, D.; Klappenberger, F.; Barth, J.V. (2014). "Topological Dynamics in Supramolecular Rotors". Nano Letters. 148 (8): 4461–4468. Bibcode:2014NanoL...

{C} )} . Then the topological entropy of f is h ( f ) = max p log ⁡ d p . {\displaystyle h(f)=\max _{p}\log d_{p}.} (The topological entropy of f is also...

an excellent example of a topological soliton. No matter how complex the context, anything that qualifies as a topological soliton must at some level...