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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Parameter Characteristics of Projective Synchronization of two Gyroscope Systems with Different Dynamical Behaviors

Discontinuity, Nonlinearity, and Complexity 2(2) (2013) 167--182 | DOI:10.5890/DNC.2013.04.006

Fuhong Min$^{1}$; Albert C.J. Luo$^{2}$

$^{1}$ School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210042, China

$^{2}$ Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL62026-1805, USA

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In this paper, parameter characteristics of the projective synchronization for two gyroscopes with different dynamical behaviors are investigated. The projective synchronization conditions are presented from the theory of discontinuous dynamical systems. From such synchronization conditions, the parameter characteristics for partial and full projective synchronizations for two gyroscope systems are studied. The full projective synchronization can be achieved exactly in finite time instead of asymptotic synchronization in the traditional projective synchronization. The scaling factors in such synchronization are observed through numerical simulations.


The work was supported by the National Natural Science Foundation of China (No.51075275), and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 08kJB510006), and Six Categories of Summit Talents of Jiangsu Province of China, and the Ministry of Education of Oversea Returnees Start-up Research Fund.


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