Symmetric oscillator: Special features, realization, and combination synchronization

Researchers have recently paid significant attention to special chaotic systems. In this work, we introduce an oscillator with different special features. In addition, the oscillator is symmetrical. The features and oscillator dynamics are discovered through different tools of nonlinear dynamics. An electronic circuit is designed to mimic the oscillator’s dynamics. Moreover, the combined synchronization of two drives and one response oscillator is reported. Numerical examples illustrate the correction of our approach.This work is partially funded by Centre for Nonlinear Systems, Chennai Institute of Technology, India vide funding number CIT/CNS/2021/RD/064

A new chaotic network model for epilepsy

Epilepsy is a prevalent neurological disorder with symptoms characterized by abnormal discharge in the brain. According to the classification of the International League Against Epilepsy (ILAE) Commission, temporal lobe epilepsy is the most common type of epilepsy accounting for the most cases of the disorder observed in patients. Electroencephalography (EEG) is the most common diagnostic tool for Epilepsy, by which abnormal electrical activity of the brain can be clearly seen. This paper uses chaos theory and proposes a new analytical mass model for temporal lobe Epilepsy. Chaotic behavior of the model indicates normal model, while its periodic behavior indicate epileptic mode of the brain. The proposed model includes a number of parameters for which a full bifurcation analysis is conducted. This fully characterizes different regimes of the model and allows studying how one can control the parameters to switch between different modes. The proposed model enables to effectively use advance chaos-based mathematical tools to get further insights on the underlying mechanisms of epilepsy