A novel image encryption scheme based on Kepler’s third law and random Hadamard transform<xref rid="cpb_26_12_120504_fn1" ref-type="fn">*</xref> <fn id="cpb_26_12_120504_fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant Nos. 61661008 and 61603104), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant Nos. 2015GXNSFBA139256 and 2016GXNSFCA380017), the Funding of Overseas 100 Talents Program of Guangxi Provincial Higher Education, China, the Research Project of Guangxi University of China (Grant No. KY2016YB059), the Guangxi Key Laboratory of Multi-source Information Mining & Security, China (Grant No. MIMS15-07), the Doctoral Research Foundation of Guangxi Normal University, the Guangxi Provincial Experiment Center of Information Science, and the Innovation Project of Guangxi Graduate Education (Grant No. YCSZ2017055).</p> </fn>

A novel image encryption scheme based on Kepler’s third law and random Hadamard transform* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 61661008 and 61603104), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant Nos. 2015GXNSFBA139256 and 2016GXNSFCA380017), the Funding of Overseas 100 Talents Program of Guangxi Provincial Higher Education, China, the Research Project of Guangxi University of China (Grant No. KY2016YB059), the Guangxi Key Laboratory of Multi-source Information Mining & Security, China (Grant No. MIMS15-07), the Doctoral Research Foundation of Guangxi Normal University, the Guangxi Provincial Experiment Center of Information Science, and the Innovation Project of Guangxi Graduate Education (Grant No. YCSZ2017055).

Luo Yu-Ling¹, Zhou Rong-Long¹, Liu Jun-Xiu^{1, †}, Qiu Sen-Hui^{1, 2}, Cao Yi³

(color online) Attractors of the Chen hyper-chaotic system in (a) the x,y plane, (b) x,z plane, (c) y,h plane, and (d) in x,y,z space.