A Method Of Generation Multiscroll Chaotic Attractor

Chaotic systems are well known for their very complex nonlinear systems, and have been intensivelystudied in various fields such as biology, physics, chemistry, engineering and information. Multiscroll chaoticattractor generating theory research and chaotic circuit implementation have become a new direction ofChaotic systems research. In order to obtain multiscroll chaotic attractor, one needs to have a special designon nonlinear function usually by the way of function constructing such as turning piecewise linear functionmethod, stage function method, lag function method and saturated function method, etc.This paper firstly makes a study of what has been brought forward by Lu Jinhu, in which saturatedfunction approximation would generate a multiscroll chaotic attractor, including one-dimensional n -scroll,two-dimensional n×m -grid scroll, and 3-D n×m×l -grid scroll chaotic attractors. This method is to usesaturated function to control a 3d autonomy system, as a result, to generate multiscroll chaotic attractor. Thispaper will make a study of using smooth inverse tangent function to replace saturated function.In the fourth part of this paper, it puts forward the method of using inverse tangent functions––including inverse tangent function and segmentation inverse tangent functions–– to generate multiscrollchaotic attractor. It also analyzes the possibility of this method from the aspects of symmetry, dissipative sexand stability. And it has get the chaotic attractor through computer simulation.