In the present paper we show how it is possible to reduce the Lorenz system, modeling the onset of turbulence in the Bénard problem, to a well-known dynamical system on a two-dimensional manifold. The reduction is made by applying in a skillful way the center manifold theory. In such a way one obtains a syntetic qualitative description of some relevant aspects of the phase portraits and of the bifurcations in the original system.
Qualitative understanding of the Lorenz equations through a well-known second order dynamical system
MIARI, MASSIMO
1986-01-01
Abstract
In the present paper we show how it is possible to reduce the Lorenz system, modeling the onset of turbulence in the Bénard problem, to a well-known dynamical system on a two-dimensional manifold. The reduction is made by applying in a skillful way the center manifold theory. In such a way one obtains a syntetic qualitative description of some relevant aspects of the phase portraits and of the bifurcations in the original system.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
