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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


Synchronization of Two Identical Restricted Planar Isosceles Three-Body-Problem and a Study on Possible Chaos Control

Discontinuity, Nonlinearity, and Complexity 2(2) (2013) 183--201 | DOI:10.5890/DNC.2013.04.007

Ayub Khan$^{1}$; Rimpi Pal$^{2}$

$^{1}$ Department of Mathematics, Jamia Millia Islamia University, New Delhi, India

$^{2}$ Department of Mathematics, University of Delhi, New Delhi, India

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In this paper, we have investigated Complete Synchronization, Anti- Synchronization and all possible cases of Hybrid Synchronization of two restricted planar isosceles three-body-problem evolving from different initial conditions using Active Control Technique. Further, the possible role of control functions in the control of Chaos is analyzed. Finally, numerical simulations are performed to illustrate the effectiveness of the proposed control techniques.


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