Title :
An introduction to the Lorenz equations
fDate :
8/1/1983 12:00:00 AM
Abstract :
Theoretical and numerical results for the three-parameter three-dimensional family of ordinary differential equations known as the Lorenz equations are surveyed. Particular emphasis is laid on the importance of homoclinic bifurcations and their relationship to the appearance of chaotic behaviors.
Keywords :
Nonlinear differential equations; Nonlinear phenomena; Bifurcation; Biographies; Chaos; Differential equations; Electrical engineering; Helium; Mathematics; Nonlinear equations; Oscillators; Statistics;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1983.1085400