Question

The Lorenz system is a set of three differential equations used to study convection in the atmosphere^10. The equations are given as follows: x = -σx + σy y = rx -y-x The third equation is typically: z = xy-bz where σ, r, and b are parameters that determine the behavior of the system.

Answer 1

The Lorenz system is a set of three differential equations used to study convection in the atmosphere. It is used in chaos theory to study the behavior of nonlinear dynamical systems.

Step-by-step explanation:

The Lorenz system is a set of three differential equations used to study convection in the atmosphere. The equations are given as follows:

x = -σx + σy

y = rx -y-x

z = xy-bz

where σ, r, and b are parameters that determine the behavior of the system. The Lorenz system is used in chaos theory to study the behavior of nonlinear dynamical systems.