Coupled chaotic dynamical system and the solution for gambling game problems

Coupled dynamical system is made up of several interactive dynamic systems, the coupling strengths of which are decided by the system coupling parameters. Recent researches have shown some powerful capability of this kind of dynamical system in some engineering fields. Gambling games are usually considered as result-stochastic activities. In this paper, we use the discrete sampling time series of the attractor in Lorenz chaotic dynamical system to model a simple hammer-forfex-cloth gambling game. A coupled chaotic dynamic system is set up to model the gambling game between “man” and “machine”. Through a great deal of trial and error, we find the proper parameters for the machine system, which can win over man at a large statistical advantage. Theories and experiment results indicate that the coupled chaotic dynamical system is a good solution of the so-called man-machine gaming problem