The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets

المؤلفون المشاركون

Li, Risong
Lu, Tianxiu

المصدر

Complexity

العدد

المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-12، 12ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2020-09-28

دولة النشر

مصر

عدد الصفحات

12

التخصصات الرئيسية

الفلسفة

الملخص EN

In this paper, we study some chaotic properties of s-dimensional dynamical system of the form Ψa1,a2,…,as=gsas,g1a1,…,gs−1as−1, where ak∈Hk for any k∈1,2,…,s, s≥2 is an integer, and Hk is a compact subinterval of the real line ℝ=−∞,+∞ for any k∈1,2,…,s.

Particularly, a necessary and sufficient condition for a cyclic permutation map Ψa1,a2,…,as=gsas,g1a1,…,gs−1as−1 to be LY-chaotic or h-chaotic or RT-chaotic or D-chaotic is obtained.

Moreover, the LY-chaoticity, h-chaoticity, RT-chaoticity, and D-chaoticity of such a cyclic permutation map is explored.

Also, we proved that the topological entropy hΨ of such a cyclic permutation map is the same as the topological entropy of each of the following maps: gj∘gj−1∘⋯∘g1l∘gs∘gs−1∘⋯∘gj+1, if j=1,…,s−1and gs∘gs−1∘⋯∘g1, and that Ψ is sensitive if and only if at least one of the coordinates maps of Ψs is sensitive.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Li, Risong& Lu, Tianxiu. 2020. The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1145549

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Li, Risong& Lu, Tianxiu. The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1145549

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Li, Risong& Lu, Tianxiu. The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1145549

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1145549