![](/assets/images/picto-drapeau-france-3a76576a5d60a512053b4612ab58dae5.png)
4. Analysis and measurement tools
4.1 Lyapunov exhibitors
Beyond the threshold of aperiodic motion in an iterated application, or in a strange attractor of a continuous system, two initially similar trajectories diverge. The Lyapunov exponent quantitatively characterizes chaotic behavior by measuring the average divergence rate of trajectories.
In the case of a one-dimensional iterated application, it can be written as :
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!
![](/assets/images/logo-eti-286623ed91fa802ce039246e516e5852.png)
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Analysis and measurement tools
References
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!
![](/assets/images/logo-eti-286623ed91fa802ce039246e516e5852.png)
The Ultimate Scientific and Technical Reference