scholarly journals Reduced order hybrid function projective combination synchronization of three Josephson junctions

2014 ◽  
Vol 24 (1) ◽  
pp. 99-113 ◽  
Author(s):  
Kayode. S. Ojo ◽  
Abdulahi N. Njah ◽  
Samuel T. Ogunjo ◽  
Olasunkanmi I. Olusola
Keyword(s):  
Josephson Junction ◽  
Josephson Junctions ◽  
Chaotic Systems ◽  
Second Order ◽  
Backstepping Technique ◽  
Third Order ◽  
Reduced Order ◽  
Combination Synchronization ◽  
Response System ◽  
Hybrid Function

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.

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

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
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.

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

2015 ◽  
Vol 25 (4) ◽  
pp. 463-490 ◽  
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.

scholarly journals A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems

2011 ◽  
Vol 2011 ◽  
pp. 1-15
Author(s):  
Ping Zhou ◽  
Xiao-You Yang
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Scaling Function ◽  
Uncertain System ◽  
Adaptive Controller ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Response System ◽  
Parameter Update Law ◽  
Hybrid Function

An adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This proposed scheme is different with the function projective synchronization (FPS) scheme, in which the drive and response system could be synchronized up to a scaling function factor. The adaptive controller and the parameter update law are gained. Two examples are presented to demonstrate the effectiveness of the proposed scheme.

scholarly journals A New Type of Combination Synchronization among Multiple Chaotic Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Xingxu Wang ◽  
Lin Sun ◽  
Bingji Wang ◽  
Tousheng Huang
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Representative Case ◽  
Combination Synchronization ◽  
Response System ◽  
New Type ◽  
Drive Systems ◽  
Multiple Chaotic Systems

Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representative case, the combination synchronization-II between three drive systems and one response system is studied. Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived. Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach. Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.

OBSERVER-BASED SYNCHRONIZATION OF UNCERTAIN CHAOTIC SYSTEMS: COMPARISON BETWEEN REDUCED-ORDER AND FULL-ORDER OBSERVERS

2008 ◽  
Vol 18 (10) ◽  
pp. 3129-3136 ◽  
Author(s):  
FANG-LAI ZHU ◽  
MAO-YIN CHEN
Keyword(s):  
Chaotic Systems ◽  
Drive System ◽  
Reduced Order ◽  
Response System ◽  
System A ◽  
Unknown Disturbances ◽  
Reduced Order Observer ◽  
Uncertain Chaotic Systems ◽  
Robust Adaptive ◽  
Better Than

Within the drive-response configuration, this paper considers the synchronization of uncertain chaotic systems based on observers. Even if there are unknown disturbances and parameters in the drive system, a robust adaptive full-order observer can be used to realize chaos synchronization. Further, we develop a reduced-order observer-based response system to synchronize the drive system. By choosing a special reduced-order gain matrix, the reduced-order observer-based response system turns out to be linear and can eliminate the influence of the unknown disturbances and parameters directly. We also discuss the above mentioned two kinds of observers in numerical simulation, and demonstrate that the linear reduced-order observer-based response system is better than the full-order observer-based one.

Bulk Contributions Modulate the Sum-Frequency Generation Spectra of Interfacial Water on Model Sea-Spray Aerosols

2018 ◽  
Author(s):  
Sandeep K. Reddy ◽  
Raphael Thiraux ◽  
Bethany A. Wellen Rudd ◽  
Lu Lin ◽  
Tehseen Adel ◽  
...  
Keyword(s):  
Single Layer ◽  
Sum Frequency Generation ◽  
Second Order ◽  
Interfacial Structure ◽  
Sea Spray ◽  
Third Order ◽  
Systematic Analysis ◽  
Sum Frequency ◽  
Structure Of Water ◽  
Frequency Generation

Vibrational sum-frequency generation (vSFG) spectroscopy is used to determine the molecular structure of water at the interface of palmitic acid monolayers. Both measured and calculated spectra display speci c features due to third-order contributions to the vSFG response which are associated with nite interfacial electric potentials. We demonstrate that theoretical modeling enables to separate the third-order contributions, thus allowing for a systematic analysis of the strictly surface-sensitive, second-order component of the vSFG response. This study provides fundamental, molecular-level insights into the interfacial structure of water in a neutral surfactant system with relevance to single layer bio-membranes and environmentally relevant sea-spray aerosols. These results emphasize the key role that computer simulations can play in interpreting vSFG spectra and revealing microscopic details of water at complex interfaces, which can be difficult to extract from experiments due to the mixing of second-order, surface-sensitive and third-order, bulk-dependent contributions to the vSFG response.

Evidence for general base catalysis by protic solvents in a kinetic study of alcoholyses and hydrolyses of 1-(phenoxycarbonyl)pyridinium ions under both solvolytic and non-solvolytic conditions

2009 ◽  
Vol 74 (1) ◽  
pp. 43-55 ◽  
Author(s):  
Dennis N. Kevill ◽  
Byoung-Chun Park ◽  
Jin Burm Kyong
Keyword(s):  
Second Order ◽  
Base Catalysis ◽  
Substitution Reactions ◽  
Third Order ◽  
Methoxy Derivative ◽  
First Order ◽  
General Base ◽  
Protic Solvents ◽  
Kinetics Of ◽  
Pyridinium Ions

The kinetics of nucleophilic substitution reactions of 1-(phenoxycarbonyl)pyridinium ions, prepared with the essentially non-nucleophilic/non-basic fluoroborate as the counterion, have been studied using up to 1.60 M methanol in acetonitrile as solvent and under solvolytic conditions in 2,2,2-trifluoroethan-1-ol (TFE) and its mixtures with water. Under the non- solvolytic conditions, the parent and three pyridine-ring-substituted derivatives were studied. Both second-order (first-order in methanol) and third-order (second-order in methanol) kinetic contributions were observed. In the solvolysis studies, since solvent ionizing power values were almost constant over the range of aqueous TFE studied, a Grunwald–Winstein equation treatment of the specific rates of solvolysis for the parent and the 4-methoxy derivative could be carried out in terms of variations in solvent nucleophilicity, and an appreciable sensitivity to changes in solvent nucleophilicity was found.

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