m] have an interpretation in terms of
dynamical systems, as in the case of Artin-Mazur zeta function.
pi]) be a semigroup
dynamical system on X, where [pi](n, (u, [omega])) := ([phi](n, u, [omega]), [sigma](n, [omega])) for all u [member of] W and u [member of] [OMEGA], then (X, [Z.
A deterministic
dynamical system is said to be expansive, or sensitive to initial conditions or chaotic, if two different initial states, regardless that they may be arbitrarily next, define trajectories that separate one from the other, at some future or past time, more than a positive numerical constant a.
2008), Nonlinear
Dynamical Systems and Control: A Lyapunov-Based Approach.
We underline that the Hamiltonian flow conserves the phase space volume, while the Hamiltonian H is a first integral of the Hamiltonian
dynamical system.
Random Number Generators as Chaotic
Dynamical SystemsThe incident in question is the decided lack of attention paid to the phenomena associated with nonlinearity and the behavior of nonlinear
dynamical systems.
The Application of Random
Dynamical Systems Theory in Stochastic Economic Growth
17] The
dynamical system is said to be globally exponentially stable with degree [eta] at [u.
We are using a simulation precisely because we cannot analyze mathematically the consequences of the
dynamical system described mathematically.
It might be thought that the definition of a
dynamical system in terms of equations of the type given above is unduly restrictive.
This volume contains 15 selected papers discussing connections between fractal geometry and
dynamical system in pure mathematics and connections between these two and other fields of mathematics.
