Present Research 

Currently, in the laboratory, we have investigated the extreme phenomena of solar activities like solar flares, sunspots, etc. by using complex systems. We understand from the sunspot data sets and understand the sunspot frequencies for the different regions and to implement a solar proxy by using simple complex system say Kuramoto (phase oscillator) and van der pol oscillators (phase and amplitude oscillator) through inverse problem method. We made several analogies and methods to model this phenomenon.  In these research works, I have been mentored/assisted by Prof. Viktor Popov and Prof. Sasha Shapoval at the Laboratory of Complex Systems Modelling and Control.

 

 

Past Research 

In my previous postdoc at the MODELAGE Project in Biomedical Signal Interpretation and Computational Simulation (BSICoS) Group, I3A, Aragon Institute of Engineering Research, University of Zaragoza, Spain. My research belongs to mathematically model the ventricular action potential tissues when they are under fibrillation or type of Arrhythmias. I used using Finite Difference and Finite Element Analysis to model the size of the tissues and trying to correlate with the real-time data's of the patients. This project (cost 1.5M euros) belongs to Prof. Esther Peuyo, under ERC early research grant. 

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in 2017-19,  I worked as a National Post-doctoral fellowship (2 years) funded by the Department of Science and Technology (DST-SERB) under the NPDF scheme. My research on studying the stability of the power grid network using a network of nonlinear oscillators. I am trying to localize the reason behind the instability of the complex network which is mimicking the smart grid and trying to find the reason behind the instability phenomena like an extreme event, amplitude death and explosive synchronization. We recently found some interesting results on a star network of nonlinear oscillators (Chaos, 2018). This work helps to find the abnormal node or oscillator in network structures. Actually, my motivation is to find the general conditions to find the causes of instability and to maintain the stability of the smart grid (complex network). The complex network may be mimicking in many real-world structures like power grid network, brain dynamics, etc, or we can also construct the relevant network and then utilize the nonlinear theories. I am planning to study the power grid structures which is to be a many layer form. To apply the nonlinear theories in a complex network structure which is mimicking the real power grid network structures. The causes of the power grid network problems say blackout phenomenon and another relevant phenomenon will be analyzed with the perspective of nonlinear theories. Recently, we (me and Prof. Murilo de Baptista, University of Aberdeen, Scotland) write a proposal on brain dynamics that is to localize the causes of the brain like epileptic seizure and construct the decision-making system with the help of complex networks. This one we are reported on a later time.