 2
 0
Hi all,
I am a bit new in this, am trying to learn DE, dynamical systems, & chaos. I am looking into some answers for the following questions:
1) Is it always possible to derive a difference equation for every differential equation, and if so how do we do that?
2) Consider Lorenz system:
Where does Lorenz map/discrete version coming from, was it derived from Lorenz system?
3) I heard about Baker's map but I couldn't figure if Baker's map was also derived from a system of linear differential equation too?
4) If the original system of differential eqns exhibits chaotic characteristic, will this characteristic remains in difference equation?
Thanks for your helps.
I am a bit new in this, am trying to learn DE, dynamical systems, & chaos. I am looking into some answers for the following questions:
1) Is it always possible to derive a difference equation for every differential equation, and if so how do we do that?
2) Consider Lorenz system:
Where does Lorenz map/discrete version coming from, was it derived from Lorenz system?
3) I heard about Baker's map but I couldn't figure if Baker's map was also derived from a system of linear differential equation too?
4) If the original system of differential eqns exhibits chaotic characteristic, will this characteristic remains in difference equation?
Thanks for your helps.
Attachments

106.5 KB Views: 456