Media Summary: The Hopf bifurcation is one of the most important in all of dynamical systems: as you vary the parameter \mu, a spiral sink ... In the previous example of five networked neurons with threshold-linear dynamics, the excitory links are illustrated as a directed ... The first video in a multi-part series on understanding and

Appdynsys Flows Visualizing 1 D - Detailed Analysis & Overview

The Hopf bifurcation is one of the most important in all of dynamical systems: as you vary the parameter \mu, a spiral sink ... In the previous example of five networked neurons with threshold-linear dynamics, the excitory links are illustrated as a directed ... The first video in a multi-part series on understanding and The (supercritical) Hopf bifurcation can be viewed in x-y-\mu space as having a spiral sink turn to a spiral source and then birthing ... This video is from the online tutorial a Visual Approach to Nonlinear Dynamics from Santa Fe Institute Professor Sid Redner. When it comes to horizontal shaking, sometimes, you can get a global attractor. This is a system of rolling balls that exhibits ...

What happens if, instead of shaking a pendulum, we "pendulate" a pendulum and build a double pendulum? Well... it's ...

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AppDynSys : Flows : Visualizing 1-D Continuous-Time Dynamics
AppDynSys : 3D Flows : Linear Equilibria & Eigenvalues
AppDynSys : 2D Flows : Linearization
AppDynSys : Bifurcation Diagrams : Local Analysis
AppDynSys : Hopf Bifurcation : Phase Portrait
AppDynSys : Networked Neurons : Graph Structure
Visualizing 4D Pt.1
AppDynSys : Hopf Bifurcation : Full View
A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Classification of Fixed Points
A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Saddle Node Bifurcation
AppDynSys : Bifurcation Diagrams : Saddle Node
AppDynSys : Rollers : Horizontal shake
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AppDynSys : Flows : Visualizing 1-D Continuous-Time Dynamics

AppDynSys : Flows : Visualizing 1-D Continuous-Time Dynamics

Continuous-time

AppDynSys : 3D Flows : Linear Equilibria & Eigenvalues

AppDynSys : 3D Flows : Linear Equilibria & Eigenvalues

In 3-

AppDynSys : 2D Flows : Linearization

AppDynSys : 2D Flows : Linearization

This simple example (x' = y ; y' =

AppDynSys : Bifurcation Diagrams : Local Analysis

AppDynSys : Bifurcation Diagrams : Local Analysis

When you have a more complicated

AppDynSys : Hopf Bifurcation : Phase Portrait

AppDynSys : Hopf Bifurcation : Phase Portrait

The Hopf bifurcation is one of the most important in all of dynamical systems: as you vary the parameter \mu, a spiral sink ...

AppDynSys : Networked Neurons : Graph Structure

AppDynSys : Networked Neurons : Graph Structure

In the previous example of five networked neurons with threshold-linear dynamics, the excitory links are illustrated as a directed ...

Visualizing 4D Pt.1

Visualizing 4D Pt.1

The first video in a multi-part series on understanding and

AppDynSys : Hopf Bifurcation : Full View

AppDynSys : Hopf Bifurcation : Full View

The (supercritical) Hopf bifurcation can be viewed in x-y-\mu space as having a spiral sink turn to a spiral source and then birthing ...

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Classification of Fixed Points

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Classification of Fixed Points

This video is from the online tutorial a Visual Approach to Nonlinear Dynamics from Santa Fe Institute Professor Sid Redner.

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Saddle Node Bifurcation

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Saddle Node Bifurcation

This video is from the online tutorial a Visual Approach to Nonlinear Dynamics from Santa Fe Institute Professor Sid Redner.

AppDynSys : Bifurcation Diagrams : Saddle Node

AppDynSys : Bifurcation Diagrams : Saddle Node

A saddle nodde bifurcation in

AppDynSys : Rollers : Horizontal shake

AppDynSys : Rollers : Horizontal shake

When it comes to horizontal shaking, sometimes, you can get a global attractor. This is a system of rolling balls that exhibits ...

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a pendulum, we "pendulate" a pendulum and build a double pendulum? Well... it's ...