When a dynamical system is formalized using discrete time (when time is an element of the integers \( \htmlClass{sdt-0000000122}{\mathbb{Z}} \)), the system's update operator is applied iteratively to get the state at the next time points.
| \( T \) | This is the symbol for a dynamical system's update operator. |
| \( n \) | This symbol represents any given whole number, \( n \in \htmlClass{sdt-0000000014}{\mathbb{W}}\). |
| \( \mathbf{x} \) | This symbol represents a state of the dynamical system at some time point. |