205 citations
- Institute of Physics and TechnologyKZ15 papers
- Center for Astrophysics Harvard & SmithsonianUS4 papers
- Damghan UniversityIR4 papers
- Joint Institute for Nuclear ResearchRU4 papers
- Search for Extraterrestrial IntelligenceUS4 papers
- University of OxfordGB4 papers
- Bellevue Hospital CenterUS3 papers
- Erzincan Binali Yıldırım UniversityTR3 papers
- Evgeni Kharadze Georgian National Astrophysical ObservatoryGE3 papers
- Fesenkov Astrophysical InstituteKZ3 papers
- Goddard Space Flight CenterUS3 papers
- Indian Statistical InstituteIN3 papers
61 papers
Local Lyapunov analysis via micro-ensembles: finite-time Lyapunov exponent estimation and KNN-based predictive comparison in complex-valued BAM neural networks
Yazhini Muruganantham, Andrei Velichko, Samidurai Rajendran
Complex-valued bidirectional associative memory (BAM) neural networks with fractional-order dynamics and delays can exhibit transient instabilities that degrade synchronization and…
A Novel Approach for Estimating Largest Lyapunov Exponents in One-Dimensional Chaotic Time Series Using Machine Learning
A. Velichko, M. Belyaev, P. Boriskov
Understanding and quantifying chaos from data remains challenging. We present a data-driven method for estimating the largest Lyapunov exponent (LLE) from one-dimensional chaotic t…
A Normal Criterion Concerning Sequence of Functions and their Differential Polynomials
Nikhil Bharti
In this paper, a normality criterion concerning a sequence of meromorphic functions and their differential polynomials is obtained. Precisely, we have proved: Let $\left\{f_j\right…
Chromatic Afterglow of GRB 200829A
N. S. Pankov, A. S. Pozanenko, P. Yu. Minaev +16
We present the results of our analysis of multiwavelength observations for the long gamma-ray burst GRB 200829A. The burst redshift has been determined ph…
A Bio-Inspired Chaos Sensor Model Based on the Perceptron Neural Network: Machine Learning Concept and Application for Computational Neuro-Science
Andrei Velichko, Petr Boriskov, Maksim Belyaev +1
The study presents a bio-inspired chaos sensor model based on the perceptron neural network for the estimation of entropy of spike train in neurodynamic systems. After training, th…
Neural Network Entropy (NNetEn): Entropy-Based EEG Signal and Chaotic Time Series Classification, Python Package for NNetEn Calculation
Andrei Velichko, Maksim Belyaev, Yuriy Izotov +2
Entropy measures are effective features for time series classification problems. Traditional entropy measures, such as Shannon entropy, use probability distribution function. Howev…