Secure Communication: Using Parallel Synchronization Technique On Novel Fractional Order Chaotic System

Abstract In this paper a novel 4-D fractional order chaotic system has been introduced. It has been synchronized in dislocated phase and anti-phase synchronization with its parallel systems by constructing non linear control inputs. The synchronization technique has been illustrated with help of an example in the field of secure communication.

[1]  Albert C. J. Luo,et al.  A theory for synchronization of dynamical systems , 2009 .

[2]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[3]  Ali Durdu,et al.  A Novel Chaotic System for Secure Communication Applications , 2015, Inf. Technol. Control..

[4]  Shikha,et al.  Increased and Reduced Order Synchronisations between 5D and 6D Hyperchaotic Systems , 2017 .

[5]  Tengfei Lei,et al.  Fractional matrix and inverse matrix projective synchronization methods for synchronizing the disturbed fractional‐order hyperchaotic system , 2018, Mathematical Methods in the Applied Sciences.

[6]  Chai Wah Wu,et al.  A Simple Way to Synchronize Chaotic Systems with Applications to , 1993 .

[7]  Rakesh Kumar,et al.  Dual phase and dual anti-phase synchronization of fractional order chaotic systems in real and complex variables with uncertainties , 2019, Chinese Journal of Physics.

[8]  Xinguo Zhang,et al.  Analysis, circuit implementation and applications of a novel chaotic system , 2017 .

[9]  I. Podlubny.  Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[10]  Tingting Zhao,et al.  A novel chaotic system and its application in a color image cryptosystem , 2019, Optics and Lasers in Engineering.

[11]  P. Butzer,et al.  AN INTRODUCTION TO FRACTIONAL CALCULUS , 2000 .

[12]  Yicong Zhou,et al.  Image encryption using 2D Logistic-adjusted-Sine map , 2016, Inf. Sci..

[13]  Xiao-Jun Liu,et al.  Synchronization between a fractional-order system and an integer order system , 2011, Comput. Math. Appl..

[14]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[15]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.