The redesigned sequence separates linear algebra and differential equations into more specialized tracks while eliminating ...

This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear ...

ABSTRACT: This paper investigates the emergence and transformation of self-oscillatory regimes in a nonlinear dynamic system based on a generalized van der Pol oscillator model. Using asymptotic and ...

Abstract: Neural Ordinary Differential Equations (NODEs) revolutionize the way we view residual networks as solvers for initial value problems (IVPs), with layer depth serving as the time step. In ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In chemical reaction network theory, ordinary differential equations are used to model ...

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...

data_oracle: the generated dataset. Every file represents a ground-truth expression. data_oracle/scibench: the data oracle API to draw data. Before you run our program, you need to install the ...

Abstract: Neural ordinary differential equations (neural ODEs) have emerged as a novel network architecture that bridges dynamical systems and deep learning. However, the gradient obtained with the ...