Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium

Joshi, Manoj; Ranjan, Ashish

doi:10.1016/j.chaos.2020.109693

Cited by 18 publications

(13 citation statements)

References 35 publications

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“…It shows that the system is dissipative. When t→∞, each volume element of the trajectory of the system shrinks to 0 at an exponential rate of −1, and its gradual motion will be fixed on an attractor [43][44][45][46].…”

Section: Equilibrium Point Analysismentioning

confidence: 99%

Coexistence of Multiple Attractors in a Novel Simple Jerk Chaotic Circuit With CFOAs Implementation

Wang

Tian

et al. 2022

Front. Phys.

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A novel, simple Jerk chaotic circuit with three current feedback operational amplifiers included (CFOA-JCC) is proposed, which has a simpler circuit structure, fewer components, but higher frequency characteristics. The dynamic behaviors of CFOA-JCC are analyzed, including equilibrium, stability, Lyapunov exponent, bifurcation diagram, offset boosting, and phase diagram. Furthermore, the frequency spectrum characteristic of the ordinary op-amps Jerk chaotic circuit was compared with CFOA-JCC under the same circuit parameters, and the chaotic attractor frequency of CFOA-JCC can reach about 650 kHz, much better than that of ordinary op-amps (12 kHz). Numerical simulation shows that CFOA-JCC has coexisting attractors, verified by hardware circuit experiments.

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Section: Equilibrium Point Analysismentioning

confidence: 99%

Coexistence of Multiple Attractors in a Novel Simple Jerk Chaotic Circuit With CFOAs Implementation

Wang

Tian

et al. 2022

Front. Phys.

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“…Moreover, a simple IRC chaotic circuitry using MOSFET dissipates very less power (μW) and is suitable for high frequency operation (MHz). In comparison to available hidden attractors with multistable property [29][30][31], the proposed design is free from multiplier term and passive inductor unlike [17,19,24,26] and suitable for simple chaotic system with multistability property, less chip area and fully CMOS based design with only few grounded capacitors. Hence, the proposed design may be suitable for the monolithic integration.…”

Section: Workability Testmentioning

confidence: 99%

“…On the other side, the availability of such new low‐frequency system uses more number of quadratic nonlinearity function and multiplying terms [29, 30], that make the system equation more complex and difficult to implement for monolithic design. However, a simple implementation of chaotic oscillator utilised hysteresis property of Op‐Amp with only few passive components in [31].…”

Section: Introductionmentioning

confidence: 99%

Dual feedback IRC ring for chaotic waveform generation

Joshi

Ranjan

2021

IET Circuits, Devices & Systems

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The authors have proposed an inverter resistor capacitor (IRC)-based simple chaotic ring oscillator with dual feedback for the generation of the chaotic waveform. The proposed chaotic system uses three coupled autonomous first-order differential equations and it can be electrically demonstrated using the complementary metal oxide semiconductor (CMOS) inverters with few passive RC elements for the generation of the high-frequency strange attractor. The basic dynamical characteristics and multistability property with complex bifurcation pattern in a wide range of parameters are well observed through theoretical as well as numerical simulation analysis using scaled inverse tangent function. In addition, a simple IRC chaotic model design is investigated using 0.18μm MOS transistor parameters with grounded capacitors and an equivalent CMOS-based scaled inverse tangent function. Moreover, the Cadence post layout simulation gives useful information about the circuit sustainability for IC design with high frequency (MHz), low power dissipation (940 μW) and small chip area (826.3 μm 2). This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…The operational amplifier (opamp) is the universal device used to implement chaotic systems [13], and hyper-chaotic [14], and multi-scroll attractors [15]. The voltage level of opamp-based implementations of FOCOs can be scaled down to allow FPAA implementations [12] but still, the silicon area is huge.…”

Section: Introductionmentioning

confidence: 99%

“…Figure13. Proposed single-ended multiplier combining the fully-differential multiplier shown in Figure11and an OTA-subtractor.…”

mentioning

confidence: 99%

CMOS OTA-Based Filters for Designing Fractional-Order Chaotic Oscillators

et al. 2021

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Fractional-order chaotic oscillators (FOCOs) have shown more complexity than integer-order chaotic ones. However, the majority of electronic implementations were performed using embedded systems; compared to analog implementations, they require huge hardware resources to approximate the solution of the fractional-order derivatives. In this manner, we propose the design of FOCOs using fractional-order integrators based on operational transconductance amplifiers (OTAs). The case study shows the implementation of FOCOs by cascading first-order OTA-based filters designed with complementary metal-oxide-semiconductor (CMOS) technology. The OTAs have programmable transconductance, and the robustness of the fractional-order integrator is verified by performing process, voltage and temperature variations as well as Monte Carlo analyses for a CMOS technology of 180 nm from the United Microelectronics Corporation. Finally, it is highlighted that post-layout simulations are in good agreement with the simulations of the mathematical model of the FOCO.

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Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium

Cited by 18 publications

References 35 publications

Coexistence of Multiple Attractors in a Novel Simple Jerk Chaotic Circuit With CFOAs Implementation

Coexistence of Multiple Attractors in a Novel Simple Jerk Chaotic Circuit With CFOAs Implementation

Dual feedback IRC ring for chaotic waveform generation

CMOS OTA-Based Filters for Designing Fractional-Order Chaotic Oscillators

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