The chaotic behavior of one-dimensional, 2-segment and 3-segmentpiecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marottoand the parameters conditions of existence for snap-ba...The chaotic behavior of one-dimensional, 2-segment and 3-segmentpiecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marottoand the parameters conditions of existence for snap-back repeller are obtained. Simulation resultsare presented to show the snap-back repeller, some periodic points and attracting interval cycleswith chaotic intervals.展开更多
基金Supported by the National Natural Science Foundation of China "Tian Yuan" (A0324626)
文摘The chaotic behavior of one-dimensional, 2-segment and 3-segmentpiecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marottoand the parameters conditions of existence for snap-back repeller are obtained. Simulation resultsare presented to show the snap-back repeller, some periodic points and attracting interval cycleswith chaotic intervals.