1. The prediction problem

A fundamental question associated with "dynamic systems theory" is:

Problem 1 (prediction problem). "Knowing the laws of evolution, predict the actual behavior at long times, predict observable phenomena."

Before discussing this problem, let's specify that "law of evolution" means a rule or formula which, knowing the state of the system at a given moment $t$ gives the state at a later but close instant $t + δ t$ . This law can be a deterministic law, if the future state is uniquely determined from the...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
The prediction problem

Previous
page Introduction to Deterministic Chaos with Lorenz Model

Lorenz model for hydrodynamics

Article included in this offer

"Mathematics"

( 165 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

Bibliography

(1) - ARAÚJO (V.), MELBOURNE (I.), VARANDAS (P.) - Rapid mixing for the lorenz attractor and statistical limit laws for their time-1 maps. - Communications in Mathematical Physics, 340(3) : 901–938 (2015).
(2) - ARAÚJO (V.), MELBOURNE (I.) - Exponential decay...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!