CAJ | 학술논문

该文结合Logistic混沌系统特性随参数m变化的关系，以及相对熵能够反映系统远离平衡状态程度的特点，提出一种基于符号相对熵估计Logistic混沌系统特性的新方法。从仿真结果得到，Logistic混沌系统存在时间不可逆性，并随着参数m的增大而逐渐增强，与初值x0无关，经分析推理得到一种新的可量化的非线性动力学行为指标，为深入了解Logistic混沌特性和混沌控制提供理论依据。
해문결합Logistic혼돈계통특성수삼수m변화적관계，이급상대적능구반영계통원리평형상태정도적특점，제출일충기우부호상대적고계Logistic혼돈계통특성적신방법。종방진결과득도，Logistic혼돈계통존재시간불가역성，병수착삼수m적증대이축점증강，여초치x0무관，경분석추리득도일충신적가양화적비선성동역학행위지표，위심입료해Logistic혼돈특성화혼돈공제제공이론의거。
Considering that the characteristic of Logistic chaos system varies in the relationship of the parameter m , and the feature of that the relative entropy reflects the lack of equilibrium, this paper proposes a new method to estimate the characteristic of Logistic chaos system based on symbolic relative entropy. Numerical simulations prove that, Logistic chaos system possesses the property of time irreversibility which increases with parameter m and is irrelevant with initial value x 0 . Accordingly, a novel quantifiable nonlinear dynamical behavior index is obtained, which provides the theoretical basis for understanding Logistic chaos characteristic and chaos control.