Open Problems in Dynamical Systems

Abstract

Dynamics describes the motion of systems, i.e. the time evolution of its parameters. The time variable t can be discrete or continuous. In discrete-time dynamical systems, the rate of change of their parameters x is defined only for discrete values of t. These systems can be presented as the iteration of a function:

$$ x_{t + 1} = v(x_t ,t), t = 0, 1, 2, ..., etc. $$

(3.1)

i.e. as difference equations.