CAJ | 학술논문

提出一个新型四维四翼混沌系统，分析了参数变化时系统动力学行为的特性。基于分数阶混沌系统稳定性理论，设计合适的非线性反馈控制器，实现了初始值不同的整数阶与其分数阶混沌系统之间的同步。此外，利用改进的混沌掩盖通信原理，提出了一种新型图像加密传输方法，并将以上同步方案应用于图像加密传输中，在发送端使用整数阶混沌序列对图像加密传送，从接收端可以无失真地恢复出原始图像。数值仿真证实了新混沌系统的存在性以及同步控制应用的可行性。
제출일개신형사유사익혼돈계통，분석료삼수변화시계통동역학행위적특성。기우분수계혼돈계통은정성이론，설계합괄적비선성반궤공제기，실현료초시치불동적정수계여기분수계혼돈계통지간적동보。차외，이용개진적혼돈엄개통신원리，제출료일충신형도상가밀전수방법，병장이상동보방안응용우도상가밀전수중，재발송단사용정수계혼돈서렬대도상가밀전송，종접수단가이무실진지회복출원시도상。수치방진증실료신혼돈계통적존재성이급동보공제응용적가행성。
In this paper,a new four-dimensional four-wing chaotic system is proposed and its dynamic properties are inves-tigated through numerical simulations. The different dynamic behaviors of the new system are analyzed with system parame-ters changed. Based on the stability theory of fractional-order chaotic system,chaotic synchronization between fractional-or-der chaotic system and chaotic system of integer orders is successfully completed. Furthermore,the synchronization is ap-plied to a new image encryption transmission. The image can be concealed and recovered. Numerical simulation results prove the feasibility of the proposed method of synchronization application and the existence of the new chaotic system.