In this article, the authors have proposed a novel scheme for the dual combination synchronization among four master systems and two slave systems for the fractional order complex chaotic systems. Dual combination synchronization for the integer order has already been investigated in real space; but for the case of fractional order in complex space, it is the first of its kind. Due to complexity and presence of additional variable, it will be more secure and interesting to transmit and receive signals in communication theory. Based on the Lyapunov stability theory, six complex chaotic systems are considered and corresponding controllers are designed to achieve synchronization. The special cases, such as combination synchronization, projective synchronization, complete synchronization, and many more, can be derived from the proposed scheme. The corresponding theoretical analysis and numerical simulations are shown to verify the feasibility and effectiveness of the proposed dual combination synchronization scheme.
Skip Nav Destination
Article navigation
January 2017
Research-Article
Dual Combination Synchronization of the Fractional Order Complex Chaotic Systems
Ajit K. Singh,
Ajit K. Singh
Department of Mathematical Sciences,
Indian Institute of Technology (BHU),
Varanasi 221005, India
Indian Institute of Technology (BHU),
Varanasi 221005, India
Search for other works by this author on:
Vijay K. Yadav,
Vijay K. Yadav
Department of Mathematical Sciences,
Indian Institute of Technology (BHU),
Varanasi 221005, India
Indian Institute of Technology (BHU),
Varanasi 221005, India
Search for other works by this author on:
S. Das
S. Das
Department of Mathematical Sciences,
Indian Institute of Technology (BHU),
Varanasi 221005, India
e-mail: sdas.apm@iitbhu.ac.in
Indian Institute of Technology (BHU),
Varanasi 221005, India
e-mail: sdas.apm@iitbhu.ac.in
Search for other works by this author on:
Ajit K. Singh
Department of Mathematical Sciences,
Indian Institute of Technology (BHU),
Varanasi 221005, India
Indian Institute of Technology (BHU),
Varanasi 221005, India
Vijay K. Yadav
Department of Mathematical Sciences,
Indian Institute of Technology (BHU),
Varanasi 221005, India
Indian Institute of Technology (BHU),
Varanasi 221005, India
S. Das
Department of Mathematical Sciences,
Indian Institute of Technology (BHU),
Varanasi 221005, India
e-mail: sdas.apm@iitbhu.ac.in
Indian Institute of Technology (BHU),
Varanasi 221005, India
e-mail: sdas.apm@iitbhu.ac.in
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received April 28, 2016; final manuscript received August 2, 2016; published online September 16, 2016. Assoc. Editor: Dumitru Baleanu.
J. Comput. Nonlinear Dynam. Jan 2017, 12(1): 011017 (8 pages)
Published Online: September 16, 2016
Article history
Received:
April 28, 2016
Revised:
August 2, 2016
Citation
Singh, A. K., Yadav, V. K., and Das, S. (September 16, 2016). "Dual Combination Synchronization of the Fractional Order Complex Chaotic Systems." ASME. J. Comput. Nonlinear Dynam. January 2017; 12(1): 011017. https://doi.org/10.1115/1.4034433
Download citation file:
Get Email Alerts
A Pnh-adaptive Refinement Procedure for Numerical Optimal Control Problems
J. Comput. Nonlinear Dynam
Non-Smooth Dynamics of Tapping Mode Atomic Force Microscopy
J. Comput. Nonlinear Dynam
Research on the Mechanism of Curve Passing for Bogie on a Medium-Low speed Maglev with Mid-Set Air Spring
J. Comput. Nonlinear Dynam
Efficient Hybrid Symbolic-Numeric Computational Method for Piecewise Linear Systems with Coulomb Friction
J. Comput. Nonlinear Dynam
Related Articles
Adaptive Modified Hybrid Robust Projective Synchronization Between Identical and Nonidentical Fractional-Order Complex Chaotic Systems With Fully Unknown Parameters
J. Comput. Nonlinear Dynam (July,2016)
Chaos Synchronization of Fractional-Order Chaotic Systems With Input Saturation
J. Comput. Nonlinear Dynam (September,2018)
Delayed Reaction–Diffusion Cellular Neural Networks of Fractional Order: Mittag–Leffler Stability and Synchronization
J. Comput. Nonlinear Dynam (January,2018)
Asymptotic Stabilization of Fractional Permanent Magnet Synchronous Motor
J. Comput. Nonlinear Dynam (February,2018)
Related Proceedings Papers
Related Chapters
Synchronization, Channel Estimation of SCFDMA System and PAPR Comparison with OFDM Signal
International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)
High Speed Data Processing SOPC System Based on NIOS II Reconfigurable Soft IP Cores
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Improve Small Signal Stability in Single-Machine Infinite-Bus with Power System Stabilizer
International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)