scholarly journals Design of an Enhanced Reconfigurable Chaotic Oscillator using G4FET-NDR Based Discrete Map

2020 ◽  
Author(s):  
Md Sakib Hasan ◽  
Aysha S. Shanta ◽  
Partha Sarathi Paul ◽  
Maisha Sadia ◽  
Md Badruddoja Majumder ◽  
...  
Keyword(s):  
Chaotic Oscillator ◽  
Discrete Map

Approximating an Exactly Solvable Chaotic Oscillator Using a Colpitts Oscillator Circuit

2020 ◽  
pp. 1-1
Author(s):  
Benjamin K. Rhea ◽  
R. Chase Harrison ◽  
Frank T. Werner ◽  
Edmon Perkins ◽  
Robert N. Dean
Keyword(s):  
Chaotic Oscillator ◽  
Colpitts Oscillator ◽  
Oscillator Circuit ◽  
Exactly Solvable

A Global Synchronization Theorem for a Class of Chaotic Systems

1998 ◽  
Vol 08 (06) ◽  
pp. 1363-1369 ◽  
Author(s):  
Xiao Fan Wang ◽  
Zhi Quan Wang
Keyword(s):  
Chaotic Systems ◽  
Drive System ◽  
Chaotic Oscillator ◽  
Error Feedback ◽  
Global Synchronization ◽  
Lur’E Systems ◽  
State Variable ◽  
Chaotic Lur’E Systems ◽  
Driving Signal

This Letter proposes a new synchronization theorem for a subclass of chaotic Lur'e systems. We take a specific state variable of the drive system as the driving signal. We prove that globally synchronization can be attained via the simple linear error feedback. The approach is illustrated using Chua's chaotic oscillator and a hyperchaotic oscillator.

Study on the Performance of Chaotic Oscillator in Weak Signal Detection

2012 ◽  
Vol 263-266 ◽  
pp. 516-520
Author(s):  
Yan Mang Su ◽  
Zhen Bin Gao ◽  
Xiao Zhe Liu ◽  
Na Zheng
Keyword(s):  
Initial Phase ◽  
Signal To Noise Ratio ◽  
Sampling Frequency ◽  
Signal Frequency ◽  
Chaotic Oscillator ◽  
Reference Frequency ◽  
Weak Signal Detection ◽  
Accuracy Rate ◽  
Frequency Detection ◽  
Output Variance

For the frequency detection by using chaotic oscillator, in this paper, the results which are under the influence of the sampling frequency on the basis of theory that the output variance of the system will reach a maximum when the reference frequency equals to the signal frequency are analyzed. Experiments have indicated that the accuracy rate of the results will be improved and the signal to noise ratio (SNR) threshold will be reduced by increasing the sampling frequency to a certain degree. Besides, we have a further research on detecting the frequency of a signal with an initial phase based on the theory mentioned above, simulation experimental results have verified the output variance still has a drastic change when the reference frequency is equal to the signal frequency.

scholarly journals DESIGN OF TIME DELAYED CHAOTIC CIRCUIT WITH THRESHOLD CONTROLLER

2011 ◽  
Vol 21 (03) ◽  
pp. 725-735 ◽  
Author(s):  
K. SRINIVASAN ◽  
I. RAJA MOHAMED ◽  
K. MURALI ◽  
M. LAKSHMANAN ◽  
SUDESHNA SINHA
Keyword(s):  
Numerical Simulations ◽  
Linear Function ◽  
Piecewise Linear ◽  
Piecewise Linear Function ◽  
Operational Amplifiers ◽  
Phase Portraits ◽  
Chaotic Attractors ◽  
Chaotic Oscillator ◽  
Threshold Values ◽  
Chaotic Circuit

A novel time delayed chaotic oscillator exhibiting mono- and double scroll complex chaotic attractors is designed. This circuit consists of only a few operational amplifiers and diodes and employs a threshold controller for flexibility. It efficiently implements a piecewise linear function. The control of piecewise linear function facilitates controlling the shape of the attractors. This is demonstrated by constructing the phase portraits of the attractors through numerical simulations and hardware experiments. Based on these studies, we find that this circuit can produce multi-scroll chaotic attractors by just introducing more number of threshold values.

A Single-Node Classifier Implementation on Chua Oscillator within a Physical Reservoir Computing Framework

2021 ◽  
Vol 31 (11) ◽  
pp. 2150161
Author(s):  
Uladzislau Sychou
Keyword(s):  
Computer Simulation ◽  
Control Parameter ◽  
Chaotic Oscillator ◽  
Reservoir Computing ◽  
Single Node ◽  
Short Pulses ◽  
Chaotic Mode ◽  
Computing Framework ◽  
Chua Oscillator

The study lies in the field of physical reservoir computing and aims to develop a classifier using Fisher Iris dataset for benchmark tasks. Single Chua chaotic oscillator acts as a physical reservoir. The study was performed using computer simulation. The features of Iris flowers are represented as the consequence of short pulses at a constant level of a control parameter, which is fed to the oscillator, changing its dynamics. During the classification of flowers, the oscillator works without being reset, so each pulse on the input changes the phase trajectory and makes it unique for each Iris flower. Finally, the estimation of the symmetry of an attractor makes it possible to connect each species of Iris with the properties of the attractor. The resulting architecture of the classifier includes a single-node externally-driven Chua oscillator with time-delayed input. The classifier shows two mistakes in classifying the dataset with 75 samples working in chaotic mode.

FROM FANCY TO FACT

PEDIATRICS ◽  
1972 ◽  
Vol 50 (5) ◽  
pp. 685-687
Author(s):  
Robert E. Greenberg
Keyword(s):  
Human Physiology ◽  
Laboratory Finding ◽  
Effective Therapy ◽  
Cellular Mechanisms ◽  
Main Route ◽  
Abnormal Laboratory ◽  
Abnormal Laboratory Finding ◽  
Discrete Map

Recognition of a given symptom, sign, or abnormal laboratory finding represents the start of a long, often tortuous path. The trail soon broadens, as combinations of findings coalesce into syndromes. Blind alleys, thick forests, and divergent roads beguile and confuse the traveler. One may stumble onto the main route by application of rational, physiologic patterns of thought. Charting a discrete map to finite understanding and effective therapy is dependent upon delineation of underlying cellular mechanisms. Similar parables have often been utilized to indicate the applicability and essentiality of studies of cellular and intercellular processes in relation to human physiology and disease.

scholarly journals Generating hidden extreme multistability in memristive chaotic oscillator via micro‐perturbation

2018 ◽  
Vol 54 (13) ◽  
pp. 808-810 ◽  
Author(s):  
Lu Wang ◽  
Sen Zhang ◽  
Yi‐Cheng Zeng ◽  
Zhi‐Jun Li
Keyword(s):  
Chaotic Oscillator ◽  
Extreme Multistability ◽  
Hidden Extreme Multistability
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