Deterministic nonperiodic flow

TitleDeterministic nonperiodic flow
Publication TypeJournal Article
Year of Publication1963
AuthorsLorenz EN
JournalJournal of the Atmospheric Sciences
Volume20
Pagination130-141
Source DocumentAccessible with appropriate permission
Displaying 1 - 3 of 3 records found.
Titlesort descending
Type

Animated demonstration of the Lorenz Model

Model
Animated demonstration of the Lorenz model and its sensitivity to initial conditions.  The simulation starts with twenty points very close to each other, and follows them as they move further away. The starting values differ in the fifth and sixth significant digits of a single coordinate. The Lorenz model was developed by Edward Lorenz in 1963 to study fluid mechanics.The model is a three-dimentional system of differential equations. Specifically, the model describes the convection motion of a...
09 Aug 2016

Lorenz Model

Model
This simple model was developed by Edward Lorenz in 1963 to study fluid mechanics (based on Navier-Stokes equations). It is the first ever model of a chaotic dynamical system. Chaos arises when a deterministic, nonlinear dynamical system exhibits long-term unpredictability in behavior due to sensitivity to initial conditions.The model is a three-dimentional system of differential equations. Specifically, the model describes the convection motion of a fluid in a small idealized "Rayleigh-...
09 Aug 2016

Mathematical Models in Social Ecological Systems

Case
This case is an umbrella to capture a range of models of ecological, social, social-ecological, and other natural systems (e.g. climate).  In addition, there are several models whose main purpose is to demonstrate model visualization features related to a number of famous mathematical models including the Lorenz Model, the discrete logistic, and predator prey models. The Lorenz Model, probably the most famous of all simple models, is the first ever model of a chaotic dynamical system....
09 Aug 2016