Media Summary: Much of the focus in the previous lectures was on continuous- In this lecture we will talk about work from my favourite mathematician and one of my favourite topics in all of There are a number of tools available to understand

Maps Discrete Time Dynamical Systems - Detailed Analysis & Overview

Much of the focus in the previous lectures was on continuous- In this lecture we will talk about work from my favourite mathematician and one of my favourite topics in all of There are a number of tools available to understand In the previous few lectures we were introduced to In this lecture, I explore fixed points of

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Maps & Discrete-Time Dynamical Systems: Introduction & Uses | Strogatz Ch. 10
Chapter Discrete time dynamics - For a map, already 1D is interesting
One-Dimensional Mappings - Dynamical Systems | Lecture 30
Discrete-Time Dynamical Systems
Analysis of Discrete-Time Dynamical Systems - Math Modelling | Lecture 19
Poincaré Maps - Dynamical Systems | Lecture 28
What is a topological dynamical system?  The doubling map and other basics.
ChaosBook.org chapter Discrete time dynamics:  Mappings
Nonlinear Dynamics: Maps and Difference Equations
This equation will change how you see the world (the logistic map)
AppDynSys : Staircase Diagrams : the Logistic Map
Discrete-Time Dynamical Systems - Math Modelling | Lecture 13
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Maps & Discrete-Time Dynamical Systems: Introduction & Uses | Strogatz Ch. 10

Maps & Discrete-Time Dynamical Systems: Introduction & Uses | Strogatz Ch. 10

We introduce a new class of

Chapter Discrete time dynamics - For a map, already 1D is interesting

Chapter Discrete time dynamics - For a map, already 1D is interesting

slice1Dmap.

One-Dimensional Mappings - Dynamical Systems | Lecture 30

One-Dimensional Mappings - Dynamical Systems | Lecture 30

We motivated the study of

Discrete-Time Dynamical Systems

Discrete-Time Dynamical Systems

This video shows how

Analysis of Discrete-Time Dynamical Systems - Math Modelling | Lecture 19

Analysis of Discrete-Time Dynamical Systems - Math Modelling | Lecture 19

Much of the focus in the previous lectures was on continuous-

Poincaré Maps - Dynamical Systems | Lecture 28

Poincaré Maps - Dynamical Systems | Lecture 28

In this lecture we will talk about work from my favourite mathematician and one of my favourite topics in all of

What is a topological dynamical system?  The doubling map and other basics.

What is a topological dynamical system? The doubling map and other basics.

What is a topological

ChaosBook.org chapter Discrete time dynamics:  Mappings

ChaosBook.org chapter Discrete time dynamics: Mappings

Course1w1_maps2.mp4.

Nonlinear Dynamics: Maps and Difference Equations

Nonlinear Dynamics: Maps and Difference Equations

We then dig deeper into the dynamics of

This equation will change how you see the world (the logistic map)

This equation will change how you see the world (the logistic map)

The logistic

AppDynSys : Staircase Diagrams : the Logistic Map

AppDynSys : Staircase Diagrams : the Logistic Map

There are a number of tools available to understand

Discrete-Time Dynamical Systems - Math Modelling | Lecture 13

Discrete-Time Dynamical Systems - Math Modelling | Lecture 13

In the previous few lectures we were introduced to

Fixed Points and Stability - Dynamical Systems | Lecture 3

Fixed Points and Stability - Dynamical Systems | Lecture 3

In this lecture, I explore fixed points of