A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). Mathematical models are also used in music, linguistics and philosophy (for example, intensively in analytic philosophy).

# Topic

# Modeling (Dynamics)

This topic includes the following resources and journeys:

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### Experience

### Scope

## What Are Dynamic Models? Chapter 1 from Dynamic Models in Biology

Throughout this book we use a wide-ranging set of case studies to illustrate different aspects of models and modeling. In this introductory chapter we describe and give examples of different...

See More## DC Motor Speed: System Modeling

This examples walks through modeling a simple DC motor in MATLAB.

See More## Using Simscape™ to Model a Quanser QUBE-Servo 2 with Friction

Modelling a DC servomotor is one of the common examples used in control system textbooks and courses. Given that so many systems use DC motors, e.g. robot manipulator arms, it’s an important...

See More## Nathan Kutz:"Data-driven Discovery of Governing Physical Laws"

Seminar by Dr.Nathan Kutz on "Data-driven Discovery of Governing Physical Laws" on 10/31/2018 CICS Seminar Series

See More## Averaging Methods in Nonlinear Dynamical Systems

Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the...

See More## Educational Tool for Teaching GRAFCET

e-GRAFCET is a tool for supporting the teaching-learning process of GRAFCET ( which can be implemented using the programming language Sequential Function Chart – SFC). While this tool was...

See More## Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields...

From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review...

See More## Autodesk Tinkercad

Tinkercad is a free, easy-to-use web app that equips the next generation of designers and engineers with the foundational skills for innovation: 3D design, electronics, and coding!

See More## Modeling Physical Systems, An Overview

This video sets the stage for the topics that I want to cover over the next month or two. This is an overview of how you go from a physical system to a linear model where you can design a...

See More## First Order Dynamics in Process Control

An overview on the identification and behavior of first order dynamics in process control.

See More## Discrete-Time Dynamical Systems

This video shows how discrete-time dynamical systems may be induced from continuous-time systems.

See More## Manipulating Aerodynamic Coefficients

In this video we discuss some potential problems you may encounter when attempting to perform operations with dimensionless aerodynamic coefficients such as ...

See More## Dynamic Behavior and Input Types in Process Control

An introduction to the four types of dynamic behavior and five types of inputs (step, ramp, pulse, impulse, and sinusoidal), and why transfer functions are u...

See More## Predicting Second Order Transfer Function Behavior

Given a second order transfer function, I'll cover how we can predict the system behavior and derive the appropriate time constants and damping coefficient.

See More## ITCLI: An Interactive Tool for Closed-Loop Identification

The Interactive Tool for Closed-Loop Identification (ITCLI) is an interactive software tool for understanding SISO closed-loop identification using prediction-error techniques. The tool...

See More## A Nonlinear, 6 DOF Dynamic Model of an Aircraft: the Research Civil Aircraft...

In this video we develop a dynamic model of an aircraft by describing forces and moments generated by aerodynamic, propulsion, and gravity that act on the ai...

See More## Dynamic Modeling in Process Control

I'll show you how we can build the dynamic models necessary to derive process transfer functions as an introduction to process control.

See More## Building a Matlab/Simulink Model of an Aircraft: the Research Civil Aircraft...

In this video we implement the RCAM model as a Matlab script that is called from a Simulink model. The result is a fully encapsulated Simulink model of a no...

See More## Simulating the Lorenz System in Matlab

This video shows how simple it is to simulate dynamical systems, such as the Lorenz system, in Matlab, using ode45.

See More## Second Order Dynamics Example

How will a second order process respond in the time domain when subjected to a unit step input? What other behaviors can we expect to see and why? Tune in to...

See More## Trimming a Model of a Dynamic System Using Numerical Optimization

In this video we show how to find a trim point of a dynamic system using numerical optimization techniques. We generate a cost function that corresponds to ...

See More## Simulating the Logistic Map in Matlab

This video shows how simple it is to simulate discrete-time dynamical systems, such as the Logistic Map, in Matlab.

See More## Second Order Dynamics

A crash course overview on second order dynamics in the frequency domain, what the key parameters are, and why they matter.

See More## Equations of Motion for a Planar Vehicle

In this video we outline equations of motion for a simple planar vehicle. This model is suitable for vehicles such as boats or hovercraft that that are rest...

See More## Second Order Dynamics in Process Control

How do we simulate two first order transfer functions in series, a inherently second order system, or two coupled differential equations? Tune in to find out!

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