Dynamical analysis of a novel single Opamp-based autonomous LC oscillator: antimonotonicity, chaos, and multiple attractors

Kengne, Jacques; Tsafack, Nestor; Kengne, Léandre Kamdjeu

doi:10.1007/s40435-018-0414-2

Cited by 23 publications

(9 citation statements)

References 52 publications

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“…The dynamical features such as, chaotic and quasiperiodic behaviors of the system (11) are studied by introducing an extraneous force f 0 cos(ωξ) in the system (11). To study coexisting trajectories or multistability features [11], [12] of a system (15), it is necessary to disturb the initial conditions (φ 0 , y 0 , 0) under the constant values of system parameters. Then, we obtain the perturbed dynamical system as,…”

Section: Multistability Propertymentioning

confidence: 99%

“…Some researchers have been devoted to systems characterized by ergodicity, deterministic dynamics, unpredictable behavior, non-linear transform, sensitivity dependence on initial conditions and system's parameters. They used to investigate the dynamical properties of the proposed systems focusing on potential striking dynamical behavior including periodic attractors, chaotic attractors or hyperchaotic attractors, antimonotonicity, period doubling, crises, hysteresis, and coexisting bifurcations [11], [12]. Note that some of these properties and behaviors may be useful to image encryption in order to increase the number of encryption keys [7], [8].…”

Section: Introductionmentioning

confidence: 99%

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Dynamical Properties of Ion-Acoustic Waves in Space Plasma and Its Application to Image Encryption

et al. 2021

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The nonlinear ion-acoustic waves (IAWs) in a space plasma are capable of exhibiting chaotic dynamics which can be applied to cryptography. Dynamical properties of IAWs are examined using the direct method in plasmas composed of positive and negative ions and nonextensive distributed electrons. Applying the wave transformation, the governing equations are deduced into a dynamical system (DS). Supernonlinear and nonlinear periodic IAWs are presented through phase plane analysis. The analytical periodic wave solution for IAW is obtained. Under the influence of an external periodic force, the DS is transformed to a perturbed system. The perturbed DS describes multistability property of IAWs with change of initial conditions. The multistability behavior features coexisting trajectories such as, quasiperiodic, multiperiodic and chaotic trajectories of the perturbed DS. The chaotic feature in the perturbed DS is supported by Lyapunov exponents. This interesting behavior in the windows of chaotic dynamics is exploited to design efficient encryption algorithm. First SHA-512 is used to compute the hash digest of the plain image which is then used to update the initial seed of the chaotic IAWs system. Note that SHA-512 uses one-way function to map input data to the output, consequently it is quite impossible to break the proposed encryption technique. Second DNA coding is used to confuse and diffuse the DNA version of the plain image. The diffused image follows DNA decoding process leading to the cipher image. The security performance is evaluated using some well-known metrics and results indicate that the proposed cryptosystem can resist most of existing cryptanalysis techniques. In addition complexity analysis shows the possibility of practical implementation of the proposed algorithm.

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Section: Multistability Propertymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamical Properties of Ion-Acoustic Waves in Space Plasma and Its Application to Image Encryption

et al. 2021

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“…In fact, the first two terms of equation 8are automatically generated by the response circuit itself when the signal g is introduced. Replacing equations (5) and (7) in equation 8, the sliding surface and its time differential are, respectively, given by…”

Section: Ftsm Synchronization Of Two Circuits Encoded By An Implicit mentioning

confidence: 99%

“…Such systems have been electronically implemented, as a single op-amp autonomous jerk circuit. 5,7 Here, for the first time electronic components others than the four listed above were included in a jerk circuit. Consequently, a junction field effect transistor (JFET) proved to be effective in reducing the circuit to only five components and to introduce a nonlinearity of type NFPVA.…”

Section: Introductionmentioning

confidence: 99%

“…Consequently, a junction field effect transistor (JFET) proved to be effective in reducing the circuit to only five components and to introduce a nonlinearity of type NFPVA. 5 Although the modification in order to reduce the number of components is an advantage, it may bring new variables (velocity and acceleration) in the nonlinear term as a consequence, 3,5,7 rendering the practical implementation of the controller more difficult. Fortunately, this change in the nonlinear term does not affect the control of jerk systems when the approach proposed in this article is applied.…”

Section: Introductionmentioning

confidence: 99%

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Simple finite-time sliding mode control approach for jerk systems

Nguazon

Nguekeng

Tchitnga

et al. 2019

Advances in Mechanical Engineering

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This article describes an easy way to apply active control upon all jerk systems for which the linear part of the thirdorder differential jerk equation strongly depends on acceleration and velocity. The kernel of that methodology is to rewrite the jerk equation as a single implicit first-order differential equation escorted with a sliding variable. It is shown that, for such a jerk class, the fast terminal sliding convergence based on Lyapunov stability is achieved with a first-order sigmoid sliding surface. Various numerical simulations have been conducted on Sprott simple jerk class as well as on the single op-amp jerk system. For experiment, we synchronize two Sprott circuits with nonlinearity being the absolute value of position. Experimental results match well with numerical simulations.

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Rich Dynamical Behavior in a Simple Chaotic Oscillator Based on Sallen Key High-Pass Filter

Chakraborty

Sarkar²

2023

Circuits Syst Signal Process

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Dynamical analysis of a novel single Opamp-based autonomous LC oscillator: antimonotonicity, chaos, and multiple attractors

Cited by 23 publications

References 52 publications

Dynamical Properties of Ion-Acoustic Waves in Space Plasma and Its Application to Image Encryption

Dynamical Properties of Ion-Acoustic Waves in Space Plasma and Its Application to Image Encryption

Simple finite-time sliding mode control approach for jerk systems

Rich Dynamical Behavior in a Simple Chaotic Oscillator Based on Sallen Key High-Pass Filter

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