Chaotic oscillator design and realizationsof the Rucklidge attractor and its synchronization and masking simulations

In this paper, Rucklidge attractor’s chaotic oscillator, synchronization and masking communication circuits were designed and simulated. The electronic circuit oscilloscope outputs of the realized Rucklidge system is also presented. Simulation and oscilloscope outputs are used to illustrate the accuracy of the designed and realized Rucklidge chaotic oscillator circuits. The Rucklidge system is addressed suitable for chaotic synchronization circuits and chaotic masking communication circuits using Matlab-Simulink® and Orcad-PSpice® programmes. Simulation results are used to visualize and illustrate the effectiveness of Rucklidge chaotic system in synchronization and masking communication. All simulations results performed on Rucklidge chaotic system are to verify the application of secure communication.   Key words: Rucklidge attractor, chaotic oscillator, synchronization, chaotic masking, secure communication.

[1]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[2]  O. Rössler An equation for continuous chaos , 1976 .

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

[4]  C. Hayashi,et al.  Nonlinear oscillations in physical systems , 1987 .

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

[6]  Carroll,et al.  Driving systems with chaotic signals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[7]  A. Rucklidge Chaos in models of double convection , 1992, Journal of Fluid Mechanics.

[8]  Leon O. Chua,et al.  Experimental Demonstration of Secure Communications via Chaotic Synchronization , 1992, Chua's Circuit.

[9]  Leon O. Chua,et al.  Experimental Demonstration of Secure Communications via Chaotic Synchronization , 1992, Chua's Circuit.

[10]  Rabinder N Madan,et al.  Chua's Circuit: A Paradigm for Chaos , 1993, Chua's Circuit.

[11]  Grebogi,et al.  Communicating with chaos. , 1993, Physical review letters.

[12]  Alan V. Oppenheim,et al.  Synchronization of Lorenz-based chaotic circuits with applications to communications , 1993 .

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

[14]  Alan V. Oppenheim,et al.  Circuit implementation of synchronized chaos with applications to communications. , 1993, Physical review letters.

[15]  J. Sprott,et al.  Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  A. Nayfeh,et al.  Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .

[17]  P. Ashwin,et al.  Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection , 1997, chao-dyn/9708010.

[18]  Ahmed S. Elwakil,et al.  CMOS current feedback op amp-based chaos generators using novel active nonlinear voltage controlled resistors with odd symmetrical characteristics , 1999 .

[19]  Makoto Itoh,et al.  SPREAD SPECTRUM COMMUNICATION VIA CHAOS , 1999 .

[20]  K. Chau,et al.  Chaos in voltage-mode controlled DC drive systems , 1999 .

[21]  M. R. Kaimal,et al.  Application of chaotic noise reduction techniques to chaotic data trained by ANN , 2001 .

[22]  E. Bai,et al.  On the synchronization of a class of electronic circuits that exhibit chaos , 2002 .

[23]  Kun Li,et al.  A new chaotic secure communication system , 2003, IEEE Trans. Commun..

[24]  Daizhan Cheng,et al.  A New Chaotic System and Beyond: the Generalized Lorenz-like System , 2004, Int. J. Bifurc. Chaos.

[25]  M. Suneel Electronic circuit realization of the logistic map , 2006, nlin/0603025.

[26]  Yılmaz Uyaroğlu,et al.  Rikitake Attractor and It`s Synchronization Application for Secure Communication Systems , 2007 .

[27]  Ihsan Pehlivan,et al.  Simplified chaotic diffusionless Lorentz attractor and its application to secure communication systems , 2007, IET Commun..

[28]  Amalia Miliou,et al.  Secure communication by chaotic synchronization: Robustness under noisy conditions , 2007 .

[29]  Ihsan Pehlivan,et al.  Nonlinear Sprott94 Case A chaotic equation: Synchronization and masking communication applications , 2010, Comput. Electr. Eng..

[30]  Y. Uyaroglu,et al.  A new chaotic attractor from general Lorenz system family and its electronic experimental implementation , 2010 .