Welcome to the Differential Equations and Modeling repository! This resource is tailored for educational purposes, providing detailed practice assignments and exercises that encompass a wide range of ...

This repository focuses on the numerical modeling and simulation of chaotic systems using Python. Chaotic systems are a subset of dynamical systems that exhibit extreme sensitivity to initial ...

We anticipate that students possess a grasp of fundamental mathematical concepts equivalent to those covered in the first year of studies for STEM majors at a US college. Additionally, a familiarity ...

Abstract: The article considers models of neural systems in the form of functional differential equations, models with distributed delay, obtained by generalizing their corresponding systems with ...

Abstract: Many industrial processes are typically distributed parameter systems (DPSs) described by partial differential equations. Data-driven methods have become popular for spatiotemporal modeling ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in the brain, or the spread of infectious diseases. Petar Jovanovski's Ph.D.