Updating function discrete time dynamical system Fake online sex chats
A discrete dynamical system, discrete-time dynamical system, map or cascade is a tuple (T, M, Φ) where T is the set of integers, M is a manifold locally diffeomorphic to a Banach space, and Φ is a function.
absolute dating of brachiopods - Updating function discrete time dynamical system
The measure theoretical definitions assume the existence of a measure-preserving transformation.
This appears to exclude dissipative systems, as in a dissipative system a small region of phase space shrinks under time evolution.
The triplet (T, (X, Σ, μ), Φ), for such a Φ, is then defined to be a dynamical system.
The map Φ embodies the time evolution of the dynamical system.
The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space.