MULTISWITCHING DOUBLE COMPOUND COMBINATION SYNCHRONISATION OF 5- DIMENSIONAL HYPERCHAOTIC SYSTEMS IN APPLICATION TO MAGNETOHYDRODYNAMIC SYSTEMS

Authors

  • Samuel O. Ogundipe Department of Physics, Federal College of Education, Abeokuta, Ogun State, Nigeria. Author

Keywords:

Magnetohydrodynamic Systems, Hyperchaotic Systems, Double Compound Combination, Multiswitching

Abstract

In this paper we proposed an integrator backstepping technique for the realization of multiswitching and synchronization of double compound combination of 5-dimensional hyperchaotic systems with application to 5-dimensional hyperchaotic magnetohydrodynamic systems to verify our analytical method. Using the Runge-Kutta algorithm, our numerical results confirm the effectiveness of the proposed analytical technique. 

         Views | Downloads: 25 / 16

Downloads

Download data is not yet available.

References

Strogatz, S.H. (2000): Non linear dynamics and chaos: with applications to physics, biology, chemistry and engineering. Persues Books publishing, LLC, USA.

Alligood, K.T., Sauer, T.D. and Yorke J.A (2000): CHAOS-an Introduction to Dynamical Systems. Springer, New York, NY, USA.

Crownover,R.M. (1995): Introduction to Fractals and Chaos, Jones and Bartlett Publishers, Burlington, Mass, USA.

Ogundipe, S.O., Vincent, U. E. and Laoye, J.A. (2013): Controlling the hyperchaotic Loernz system using the integrator backstepping. .Journal of the Nigerian Association of Mathematical Physics.Vol.23 (March 2013), pp 29-40.

Olusola, O.I. Vincent, U. E. and Otekola,O.(2009): Backstepping techniques for chaos contol in the energy resource system. Nigerian Journal of Physics. Vol. 21, No. 1 (October 2009)

Vincent.E, Odunaike, R.K., Laoye, J.A. and Abiola, O.A.(2007): Anti-synchronization of the rigid body exhibiting chaotic dynamics. Journal of the Nigerian Association of Mathematical Physics, vol.11,November 2007, pp 3-14.Yuxia Li, Wallace K. S., Tang; andGuanrong Chen (2005): Hyperchaos evolved from the generalized Lorenz equation. International Journal of Circuit Theory and Applications. 33:235–251

Mahmoud, G., Abed-Elhameed, T.M. and Farghaly, A.A.(2018):Double compound combination synchronization among eight n-dimensional chaotic systems.Chinese Physics. B; 52 (1) INIS Issue 18 (1)

Ayub, K and Jamia. M (2019): Double Compound Combination Anti-synchronization In A Non Identical Fractional Order Hyper Chaotic System. Journal of Basic and Applied Engineering Research 6(8):431.

Kareem,S.O., Ojo,K.S. and Njah,A.N.(2012): Function projective synchronization of identical and non-identical modified finance and shimizumorioka systems, Pramana Journal of Physics, vol. 79, no. 1, pp. 717.

Yang, C.C.(2012): Robust synchronization and anti-synchronization of identical 6 oscillators via adaptive sliding mode control, Journal of Sound and Vibration, vol. 331, no. 3, pp. 501509.

Lu, J, Ho,D.W, Cao,J, and Kurths, J.(2013): Single impulsive controller for globally exponential synchronization of dynamical networks, Nonlinear Analysis: Real World Applications, vol. 14, pp. 581593.

Singh, V.(2013): A novel LMI-based criterion for the stability of direct-form digial filters utilizing a single twos complement nonlinearity, Nonlinear Analysis: Real World Applications, vol. 14, pp. 684689..

Ojo,K.S., Njah,A.N. and Ogunjo,S.T. (2013): Comparison of backstepping and modified active control in projective synchronization of chaos in an extended bonhoffervan der pol oscillator, Pramana Journal of Physics, vol. 80, no. 5, pp. 825835.

Roy, C. Hens, I. Grosu, and S. K. Dana (2011): Engineering generalized synchronization in chaotic oscillators, Chaos, vol. 21, no. 1, Article ID 013106.

Li,Y, Tong,S. and Li,T.(2013): Adaptive fuzzy output feedback control for a single-link flexible robot manipulator driven dc motor via backstepping, Nonlinear Analysis: Real World Applications, vol. 14, pp. 483494.

Lu,P., Wu,Q. and Yang, Y.(2013): Controlling transport and synchronization in non-identical inertial ratchets, Journal of Optimization Theory and Applications, vol. 157, pp. 888899.

Bai, E.W. and Lonngren, K.E. (1997): Synchronization of two Lorenz systems using active control, Chaos, Solitons and Fractals, vol. 8, no. 1, pp. 5158.

Ho, M.C. and Hung, Y.C. (2002): Synchronization of two different systems by using generalized active control, Physics Letters A, vol. 301, no. 5-6, pp. 424428, 2002.

S.O. Ogundipe, J.A.Laoye,U.E. Vincent and R.K.Odunaike (2017): Multiswitching Combination Synchronization in High Dimensional Hyperchaotic Systems.Transactions NAMP vol 5, (September and November, 2017), pp 173 - 182

Ogundipe, S.O. & Laoye, J.A. (2019): Multiswitching synchronisation of non-identical Lorenz and Chen systems. Nigerian Journal of Physics. 18(1).

Ojo, K. S., Njah, A. N., & Olusola, O. I. (2015). Compound-combination synchronisation of chaos in identical and different orders chaotic systems. Archives of Control Sciences,25 (61), 463–490.

Zhang, B. & Deng, F. (2014). Double-compound synchronisation of six memristor based Lorenz systems. Nonlinear Dynamics, 77, (4), 1519–1530.

Downloads

Published

2022-03-01

How to Cite

MULTISWITCHING DOUBLE COMPOUND COMBINATION SYNCHRONISATION OF 5- DIMENSIONAL HYPERCHAOTIC SYSTEMS IN APPLICATION TO MAGNETOHYDRODYNAMIC SYSTEMS. (2022). The Journals of the Nigerian Association of Mathematical Physics, 63, 71 –78. https://nampjournals.org.ng/index.php/home/article/view/112

Share

Similar Articles

1-10 of 16

You may also start an advanced similarity search for this article.