Multi-switching Synchronization of Four Non-identical Hyperchaotic Systems

The paper addresses a combination synchronization scheme achieved for different switches of three master and one slave hyperchaotic systems. An asymptotically stable synchronized state is derived for different switches of master systems and slave system by using nonlinear control method and Lyapunov stability criteria. To elaborate the presented scheme Pang–Liu hyperchaotic system, Zheng hyperchaotic system and Chen hyperchaotic system are considered as master systems and Newton–Leipnik hyperchaotic system is considered as slave system. Theoretical and graphical results converge to the same conclusion which proves the efficiency of the applied approach.

[1]  Feiqi Deng,et al.  Double-compound synchronization of six memristor-based Lorenz systems , 2014 .

[2]  Pérez,et al.  Extracting messages masked by chaos. , 1995, Physical review letters.

[3]  A. Ayotunde Ajayi,et al.  Multiswitching Synchronization of a Driven Hyperchaotic Circuit Using Active Backstepping , 2014 .

[4]  Colin E. Gough,et al.  High-temperature superconductivity , 1996 .

[5]  Mohd. Salmi Md. Noorani,et al.  Adaptive Increasing-Order Synchronization and Anti-Synchronization of Chaotic Systems with Uncertain Parameters , 2011 .

[6]  Marin Marin,et al.  On weak solutions in elasticity of dipolar bodies with voids , 1997 .

[7]  O. Rössler.  An equation for hyperchaos , 1979 .

[8]  Zhenya Yan,et al.  Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems--a symbolic-numeric computation approach. , 2005, Chaos.

[9]  Marin Marin,et al.  Harmonic Vibrations in Thermoelasticity of Microstretch Materials , 2010 .

[10]  Ying-Cheng Lai.  Synchronism in symmetric hyperchaotic systems , 1997 .

[11]  W. T. Rhodes,et al.  Communicating with hyperchaos: The dynamics of a DNLF emitter and recovery of transmitted information , 2003 .

[12]  Karl E. Lonngren,et al.  Multi-switching synchronization of chaotic systems with active controllers , 2008 .

[13]  U. Vincent,et al.  A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems , 2009 .

[14]  K. S. Ojo,et al.  Generalized reduced-order hybrid combination synchronization of three Josephson junctions via backstepping technique , 2014 .

[15]  Yongjian Liu,et al.  A new hyperchaotic system from the Lü system and its control , 2011, J. Comput. Appl. Math..

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

[17]  Xiao-Song Yang,et al.  Hyperchaos in a Spacecraft Power System , 2011, Int. J. Bifurc. Chaos.

[18]  Shuzhi Sam Ge,et al.  Synchronization of Two uncertain Chaotic Systems via Adaptive backstepping , 2001, Int. J. Bifurc. Chaos.

[19]  Laurent Larger,et al.  Optical communication with synchronized hyperchaos generated electrooptically , 2002 .

[20]  Wenlin Li,et al.  Anti-synchronization of two different chaotic systems , 2008 .

[21]  Xiaohui Xu,et al.  Generalized function projective synchronization of chaotic systems for secure communication , 2011, EURASIP J. Adv. Signal Process..

[22]  Daolin Xu,et al.  A secure communication scheme using projective chaos synchronization , 2004 .

[23]  A. Khan,et al.  Hybrid synchronization of hyperchaotic CAI systems via sliding mode control , 2016 .

[24]  Dibakar Ghosh,et al.  Projective synchronization of new hyperchaotic system with fully unknown parameters , 2010 .

[25]  Yi Shen,et al.  Compound synchronization of four memristor chaotic oscillator systems and secure communication. , 2013, Chaos.

[26]  Hao Zhang,et al.  Synchronization of uncertain chaotic systems with parameters perturbation via active control , 2004 .

[27]  Peng,et al.  Synchronizing hyperchaos with a scalar transmitted signal. , 1996, Physical review letters.

[28]  E. M. Shahverdiev,et al.  Lag synchronization in time-delayed systems , 2002 .

[29]  Z. Guan,et al.  Generalized synchronization of continuous chaotic system , 2006 .

[30]  Xiao-Song Yang,et al.  Chaos and Hyperchaos in a Class of Simple Cellular Neural Networks Modeled by O.D.E , 2006, Int. J. Bifurc. Chaos.

[31]  Guanrong Chen,et al.  FUZZY PREDICTIVE CONTROL OF UNCERTAIN CHAOTIC SYSTEMS USING TIME SERIES , 1999 .

[32]  Song Zheng,et al.  Multi-switching combination synchronization of three different chaotic systems via nonlinear control , 2016 .

[33]  Luo Runzi,et al.  Combination synchronization of three classic chaotic systems using active backstepping design. , 2011, Chaos.

[34]  Voss,et al.  Anticipating chaotic synchronization , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[35]  T. Chai,et al.  Adaptive synchronization between two different chaotic systems with unknown parameters , 2006 .

[36]  Xingyuan Wang,et al.  Multi-switching synchronization of chaotic system with adaptive controllers and unknown parameters , 2011 .

[37]  Dumitru Baleanu,et al.  On vibrations in thermoelasticity without energy dissipation for micropolar bodies , 2016 .

[38]  Guangzhao Cui,et al.  Combination–combination synchronization among four identical or different chaotic systems , 2013 .

[39]  M. Ismail,et al.  Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel , 2016 .

[40]  Gaogao Dong,et al.  A new hyperchaotic system and its synchronization , 2010, Appl. Math. Comput..

[41]  Xiang-Jun Wu,et al.  Tracking control and synchronization of four-dimensional hyperchaotic Rossler system. , 2006, Chaos.

[42]  Faqiang Wang,et al.  Synchronization of unified chaotic system based on passive control , 2007 .

[43]  Guanrong Chen,et al.  Generating Hyperchaos via State Feedback Control , 2005, Int. J. Bifurc. Chaos.

[44]  Uchechukwu E. Vincent,et al.  Multi-switching combination synchronization of chaotic systems , 2015, Nonlinear Dynamics.