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 Systems
The 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
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.