Synchronization of Chaotic RCL Shunted-Josephson Junction Systems With Unknown Parametric Uncertainties: Applications to Secure Communication Systems

Shafiq, Muhammad; Ahmad, Israr; Naderi, Bashir

doi:10.1109/access.2023.3286015

Cited by 2 publications

(1 citation statement)

References 36 publications

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“…On the other hand, certain degree of structural stability (in the meaning of the vector field geometry) is required for practical applications of chaos. One can easily find examples of new modulation [1][2][3] techniques, novel encryption methods that somehow utilize chaotic dynamics [4][5][6], analog and digital secure communication principles [7,8], random bit, multi-state or number generators [9,10], and many others.…”

Section: Introductionmentioning

confidence: 99%

The Reinartz Oscillator: Analysis Beyond Regular Behavior of the Circuit

Petrzela,

Kaller,

Vavra

2024

IEEE Access

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This paper is focused on nonlinear behavior associated with fourth-order autonomous lumped circuit known as the Reinartz oscillator. It is shown that this naturally sinusoidal oscillator with three-winding transformer can exhibit robust chaotic behavior. Essential scalar polynomial nonlinearity is not intrinsic to transformer, but to active two-port element described by impedance parameters. The existence of complex solutions is proved on numerical as well as experimental basis. In the first case, conventional routines for qualitative analysis of dynamical flows were applied, based on either prescribed set of differential equations or generated data sequence. In detail, a pair of the largest Lyapunov exponents are visualized with respect to key system parameters, attractor dimensions, recurrence plots and bifurcation diagrams showing interesting routes-to-chaos scenarios are provided to illustrate complexity of observed steady state motion. For the second case, electronic circuits dynamically equivalent to investigated mathematical model will be designed, constructed, and experimentally measured. Chaotic signals captured as oscilloscope screenshots will be compared to theoretical counterparts.

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Section: Introductionmentioning

confidence: 99%

The Reinartz Oscillator: Analysis Beyond Regular Behavior of the Circuit

Petrzela,

Kaller,

Vavra

2024

IEEE Access

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Analysis and Chaos Control and Synchronization of the Nonlinear Newton–Leipnik System Via Feedback Adaptive Control Techniques

Kumar,

Matouk,

Kumar

et al. 2023

J. Uncert. Sys.

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This paper presents the system analysis and chaos control synchronization of the Newton–Leipnik system. Uniqueness and existence solutions (equilibrium points or fixed points) of Newton–Leipnik system have been discussed and local analysis of the system at each equilibrium points is studied. Lyapunov exponents and Kaplan–Yorke dimensions, bifurcation diagrams and poincare sections are analyzed and plotted to establish the presence of chaos in the system. Control feedback techniques are simulated in the nonlinear Newton–Leipnik system. Controlling chaos of systems to find the desired result are established. Synchronization methodologies of two identical integer-order Newton–Leipnik systems are yielded applying adaptive control technologies which have been verified through plotting the graphs of tracking the trajectories of master to slave systems, parameter identification results and synchronization of error dynamics diagrams of Newton–Leipnik systems. These findings offer valuable insights and tools applicable to various scientific and technological domains. These results highlight the originality of our study and deepen our understanding of chaos in Newton–Leipnik systems, offering practical applications and enhanced insights for researchers and scientists in chaos analysis.

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Synchronization of Chaotic RCL Shunted-Josephson Junction Systems With Unknown Parametric Uncertainties: Applications to Secure Communication Systems

Cited by 2 publications

References 36 publications

The Reinartz Oscillator: Analysis Beyond Regular Behavior of the Circuit

The Reinartz Oscillator: Analysis Beyond Regular Behavior of the Circuit

Analysis and Chaos Control and Synchronization of the Nonlinear Newton–Leipnik System Via Feedback Adaptive Control Techniques

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