Abstract
The chaotic behavior of one-dimensional, 2-segment and 3-segment piecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marotto and the parameters conditions of existence for snap-back repeller are obtained. Simulation results are presented to show the snap-back repeller, some periodic points and attracting interval cycles with chaotic intervals.
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Supported by the National Natural Science Foundation of China “Tian Yuan” (A0324626)
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Chang, Y. Snap-Back Repellers and Chaos in Time-delayed Chua's Circuit. Acta Mathematicae Applicatae Sinica, English Series 21, 13–18 (2005). https://doi.org/10.1007/s10255-005-0210-6
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DOI: https://doi.org/10.1007/s10255-005-0210-6