Generalized reduced-order hybrid combination synchronization of three Josephson junctions via backstepping technique

Abstract In this paper, we examine reduced order hybrid function projective combination synchronization of three chaotic systems consisting of: (i) two third chaotic Josephson junctions as drives and one second order chaotic Josephson junction as response system; (ii) one third order chaotic Josephson junction as the drive and two second order chaotic Josephson junctions as the slaves using active backstepping technique. The analytic results confirm the realization of reduced order hybrid function projective combination synchronization using active backstepping technique. Numerical simulations are performed to validate the analytical results.

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Reduced Order Projective and Hybrid Projective Combination-Combination Synchronization of Four Chaotic Josephson Junctions

Journal of Chaos ◽

10.1155/2014/282407 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9 ◽

Cited By ~ 6

Author(s):

K. S. Ojo ◽

A. N. Njah ◽

O. I. Olusola ◽

M. O. Omeike

Keyword(s):

Josephson Junctions ◽

Communication Systems ◽

Backstepping Technique ◽

Neural Encoding ◽

Third Order ◽

Reduced Order ◽

Combination Synchronization ◽

Response Systems ◽

System Synchronization ◽

Synchronization Scheme

This paper investigates the reduced order projective and hybrid projective combination-combination synchronization of four chaotic Josephson junctions consisting of two third order Josephson junctions as the drives and two second order chaotic Josephson junctions as the response systems via active backstepping technique. The investigation confirms the achievement of reduced order projective and hybrid projective combination-combination synchronization among four chaotic Josephson junctions via active backstepping technique. Numerical simulations are validated to show the effectiveness of the synchronization scheme. Reduced order combination-combination synchronization scheme has more significant applications to neural encoding and decoding of information in biological systems and to the security of information transmission in communication systems than the usual one drive system and one response system synchronization scheme.

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Controlling Chaos Generated in Predator-Prey Interactions Using Adaptive Hybrid Combination Synchronization

Lecture Notes in Networks and Systems - Proceedings of 3rd International Conference on Computing Informatics and Networks ◽

10.1007/978-981-15-9712-1_38 ◽

2021 ◽

pp. 449-459

Author(s):

Taqseer Khan ◽

Harindri Chaudhary

Keyword(s):

Predator Prey ◽

Controlling Chaos ◽

Combination Synchronization ◽

Hybrid Combination

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Compound-combination synchronization of chaos in identical and different orders chaotic systems

Archives of Control Sciences ◽

10.1515/acsc-2015-0030 ◽

2015 ◽

Vol 25 (4) ◽

pp. 463-490 ◽

Cited By ~ 9

Author(s):

K. S. Ojo ◽

A. N. Njah ◽

O. I. Olusola

Keyword(s):

Chaotic Systems ◽

Initial Conditions ◽

Sufficient Conditions ◽

Backstepping Technique ◽

Third Order ◽

Combination Synchronization ◽

Response Systems ◽

Drive Systems ◽

Synchronization Scheme ◽

Insight Into

Abstract This paper proposes a new synchronization scheme called compound-combination synchronization. The scheme is investigated using six chaotic Josephson junctions evolving from different initial conditions based on the drive-response configuration via the active backstepping technique. The technique is applied to achieve compound-combination synchronization of: (i) six identical third order resistive-capacitive-inductive-shunted Josepshon junctions (RCLSJJs) (with three as drive and three as response systems); (ii) three third order RCLSJJs (as drive systems) and three second order resistive-capacitive-shunted Josepshon junctions (RCSJJs (as response systems). In each case, sufficient conditions for global asymptotic stability for compound-combination synchronization to any desired scaling factors are achieved. Numerical simulations are employed to verify the feasibility and effectiveness of the compound-combination synchronization scheme. The result shows that this scheme could be used to vary the junction signal to any desired level and also give a better insight into synchronization in biological systems wherein different organs of different dynamical structures and orders are involved. The scheme could also provide high security in information transmission due to the complexity of its dynamical formulation.

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