The prediction problem
Introduction to Deterministic Chaos with Lorenz Model

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The prediction problem


Introduction to Deterministic Chaos with Lorenz Model

Author : Frédéric FAURE

Publication date: April 10, 2025 | Lire en français

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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+δt . This law can be a deterministic law, if the future state is uniquely determined from the...

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