Chaotic electronic oscillator from single amplifier biquad

Banerjee, Tanmoy; Karmakar, Basudeb; Sarkar, B. C.

doi:10.1016/j.aeue.2011.11.013

Cited by 26 publications

(14 citation statements)

References 14 publications

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“…Table II compares the proposed circuit with two existing currenttunable chaotic jerk circuits [4,5]. The proposed circuit requires neither a diode, as it was required in [4], nor a two-opamp approach, as it was required in [5]. In addition, the proposed circuit offers a simpler current-reversible chaotic jerk circuit with only 6 devices and a single opamp compared to the current-reversible chaotic jerk circuit in [5] which requires 6 devices and two opamps.…”

Section: Circuit Realisationsmentioning

confidence: 99%

“…5. In addition, j 1 j > jj follows the Shil'nikov condition [5] for a proof of chaos. Table II compares the proposed circuit with two existing currenttunable chaotic jerk circuits [4,5].…”

Section: Circuit Realisationsmentioning

confidence: 99%

“…In addition, j 1 j > jj follows the Shil'nikov condition [5] for a proof of chaos. Table II compares the proposed circuit with two existing currenttunable chaotic jerk circuits [4,5]. The proposed circuit requires neither a diode, as it was required in [4], nor a two-opamp approach, as it was required in [5].…”

Section: Circuit Realisationsmentioning

confidence: 99%

“…For instance, the chaotic circuits that were early proposed based on a positive-feedback loop [4] and a biquadratic filter [5], a chaotic circuit based on a single opamp has employed a diode [6], whereas a chaotic jerk circuit based on two opamps has employed sgn(x) nonlinearity [7]. Recently, current-tunable chaotic circuits have been demonstrated for such a category using either exponential nonlinearity of a diode with a single opamp [8,9], or sgn(x) nonlinearity with two opamps [10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A simple current-reversible chaotic jerk circuit using inherent tanh(x) of an opamp

Ketthong

San-Um

Srisuchinwong

et al. 2017

IEICE Electron. Express

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A simple current-reversible chaotic jerk circuit is proposed and particularly demonstrates the use of inherently tanh(x) nonlinearity of a single opamp for a chaotic jerk circuit. No additionally nonlinear devices are required. Bifurcation is electronically tunable through a current source in a reversible direction. The largest Lyapunov exponent of either direction forms mirror images, whereas the chaotic attractor of either direction forms antisymmetric images.

show abstract

Section: Circuit Realisationsmentioning

confidence: 99%

“…5. In addition, j 1 j > jj follows the Shil'nikov condition [5] for a proof of chaos. Table II compares the proposed circuit with two existing currenttunable chaotic jerk circuits [4,5].…”

Section: Circuit Realisationsmentioning

confidence: 99%

Section: Circuit Realisationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A simple current-reversible chaotic jerk circuit using inherent tanh(x) of an opamp

Ketthong

San-Um

Srisuchinwong

et al. 2017

IEICE Electron. Express

View full text Add to dashboard Cite

show abstract

“…, proposed design analog implementation chaos circuit for novel communication scheme where it is difficult to reproduce dynamical behavior due to inherent imperfections of each analog block. The implementation of electronic chaotic oscillator from single amplifier biquad high Q bandpass filter shows complex behaviors such as bifurcations and chaos for a certain range of circuit parameters . The new three‐dimensional fractional‐order chaotic system without equilibrium is implemented able to control and synchronize the system by using active control and unidirectional coupling .…”

Section: Introductionmentioning

confidence: 99%

Novel wideband chaotic approach LNA with microcontroller compatibility for 5G wireless secure communication

Jayawickrama

Kumar

Song

2018

Micro & Optical Tech Letters

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The tremendous growth of recent technologies toward secure communication networks requires two application goals: (1) encrypted message signal and (2) wide bandwidth operation. This work proposes a wide bandwidth disembodied polynomial chaos approach low‐noise amplifier (LNA) with microcontroller compatibility for 5G wireless secure communication. Two different architectures are proposed for achieve desired goal. First architecture approach uses three‐state variable Lorenz system which novitiate into discrete mode by using Euler method and make compatibility with microcontroller. The characteristics of output chaotic waveforms from first approach realized by using bifurcation and Lyapunov exponent methods. The propose first novel design methodology reproduce its dynamical behavior with conventional continuous‐time system and provides three output chaotic states which is used to encrypt message at the physical layer and achieves security in the telecommunication technologies. While in second architecture, LNA is designed using disembodied polynomial chaos approach which reproduce chaotic output signal over wide bandwidth ranging from 2 to 10 GHz. The LNA is implemented and fabricated using TSMC 45 nm commercial process and reveals minimum noise figure up to 1.5 dB. The fabrication chip of chaos approach LNA under the power consumption of 3.2 mW made good correlation with simulation ones.

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Passive–active integrators chaotic oscillator with anti-parallel diodes: analysis and its chaos-based encryption application to protect electrocardiogram signals

Pone

Çiçek

Kingni

et al. 2019

Analog Integr Circ Sig Process

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Chaotic electronic oscillator from single amplifier biquad

Cited by 26 publications

References 14 publications

A simple current-reversible chaotic jerk circuit using inherent tanh(x) of an opamp

A simple current-reversible chaotic jerk circuit using inherent tanh(x) of an opamp

Novel wideband chaotic approach LNA with microcontroller compatibility for 5G wireless secure communication

Passive–active integrators chaotic oscillator with anti-parallel diodes: analysis and its chaos-based encryption application to protect electrocardiogram signals

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