A forbidden web in a quasi-dissipative system

作者:Dai J; Wang WX; Jiang YM; He Y; Chen W; He DR*
来源:Chinese Physics Letters, 2005, 22(4): 827-829.

摘要

A simultaneous transition of the system nature from everywhere smooth and conservative to piecewise smooth and quasi-dissipative is observed in a kicked billiard when adjusting single controlling parameter. The transition induces the appearance of a special kind of fat fractal forbidden web, which grows up and cuts off more parts from the original conservative stochastic web so that the remnant transient web becomes increasingly thinner. We numerically show a power law alpha proportional to beta(v), where a is the fractal exponent of the forbidden web, beta is the control parameter, and the scaling exponent v = 0.288 +/- 0.007, which describes this process.