5. The transformation group of branching solutions of Lorenz’s equations and “chaos”

In this paper, the theory of groups is used in the discussion of the properties of branching solutions of Lorenz’s models with fixed constants. The result shows that the three branching solutions of Lorenz’s model with fixed constants can be connected together through the group {I, e}, and that if an orbit of Lorenz’s equation is given, there must exist another corresponding orbit through the group {I, e}. Just as the model is deterministic, so is the solution.