This paper addresses the projective synchronization (PS) of the complex modified Van der Pol-Duffing (MVDPD for short) chaotic oscillator by using the nonlinear observer control and also discusses its applications to secure communication in theory. First, we construct the complex MVDPD oscillator and analysis its chaotic behavior. Moreover, an observer design method is applied to achieve PS of two identical MVDPD chaotic oscillators with complex offset terms, which are synchronized to the desired scale factor. The unpredictability of the scaling factor could further enhance the security of the communication. Finally, numerical simulations are given to demonstrate the effectiveness and feasibility of the proposed synchronization approach and also verify the success application to the proposed scheme’s in the secure communication.
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September 2015
Research-Article
Observe-Based Projective Synchronization of Chaotic Complex Modified Van Der Pol-Duffing Oscillator With Application to Secure Communication
Ping Liu,
Ping Liu
College of Mechanical
and Electronic Engineering,
Shandong Key Laboratory
of Gardening Machinery and Equipment,
and Electronic Engineering,
Shandong Key Laboratory
of Gardening Machinery and Equipment,
Shandong Agricultural University
,Taian 271018
, China
College of Engineering,
Peking University
,Beijing 100871
, China
Search for other works by this author on:
Hongjun Song,
Hongjun Song
College of Mechanical
and Electronic Engineering,
and Electronic Engineering,
Shandong Agricultural University
,Taian 271018
, China
Search for other works by this author on:
Xiang Li
Xiang Li
State Key Laboratory of Crop Biology,
College of Life Sciences,
e-mail: lixiang@sdau.edu.cn
College of Life Sciences,
Shandong Agricultural University
,Taian 271018
, China
e-mail: lixiang@sdau.edu.cn
Search for other works by this author on:
Ping Liu
College of Mechanical
and Electronic Engineering,
Shandong Key Laboratory
of Gardening Machinery and Equipment,
and Electronic Engineering,
Shandong Key Laboratory
of Gardening Machinery and Equipment,
Shandong Agricultural University
,Taian 271018
, China
College of Engineering,
Peking University
,Beijing 100871
, China
Hongjun Song
College of Mechanical
and Electronic Engineering,
and Electronic Engineering,
Shandong Agricultural University
,Taian 271018
, China
Xiang Li
State Key Laboratory of Crop Biology,
College of Life Sciences,
e-mail: lixiang@sdau.edu.cn
College of Life Sciences,
Shandong Agricultural University
,Taian 271018
, China
e-mail: lixiang@sdau.edu.cn
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 21, 2014; final manuscript received January 31, 2015; published online April 16, 2015. Assoc. Editor: Sotirios Natsiavas.
J. Comput. Nonlinear Dynam. Sep 2015, 10(5): 051015 (7 pages)
Published Online: September 1, 2015
Article history
Received:
September 21, 2014
Revision Received:
January 31, 2015
Online:
April 16, 2015
Citation
Liu, P., Song, H., and Li, X. (September 1, 2015). "Observe-Based Projective Synchronization of Chaotic Complex Modified Van Der Pol-Duffing Oscillator With Application to Secure Communication." ASME. J. Comput. Nonlinear Dynam. September 2015; 10(5): 051015. https://doi.org/10.1115/1.4029715
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