Media Summary: This simple example (x' = y ; y' = 1-xy) has a pair of equilibria. Linearizing the In the previous example of five networked neurons with threshold- This is part of a series of short simulations without audio on applied

Appdynsys 2 D Linear Dynamics - Detailed Analysis & Overview

This simple example (x' = y ; y' = 1-xy) has a pair of equilibria. Linearizing the In the previous example of five networked neurons with threshold- This is part of a series of short simulations without audio on applied There are a number of tools available to understand discrete-time The Hopf bifurcation is one of the most important in all of The 2nd order differential equation for the frictionless bead on a spinning hoop has a phase portrait that generalizes what we saw ...

This is an illustration of the bifurcation (in state-versus-parameter space) in a model of a biochemical switch. You can see that ... When it comes to horizontal shaking, sometimes, you can get a global attractor. This is a system of rolling balls that exhibits ...

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AppDynSys : 2-D Linear Dynamics : Trace-Determinant
AppDynSys : 2D Flows : Linear Equilibrium Types
AppDynSys : Double pendulum : SDIC
AppDynSys : 2D Flows : Linearization
AppDynSys : Networked Neurons : Graph Structure
AppDynSys : Pendula : Stable & Unstable Equilibria
AppDynSys : Staircase Diagrams : the Logistic Map
AppDynSys : 3D Flows : Linear Equilibria & Eigenvalues
AppDynSys : Hopf Bifurcation : Phase Portrait
AppDynSys : 2nd Order ODEs : Spinning Hoop Phase Portrait
AppDynSys : Bifurcation Examples : Switch
AppDynSys : Pendula : Horizontal shake
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AppDynSys : 2-D Linear Dynamics : Trace-Determinant

AppDynSys : 2-D Linear Dynamics : Trace-Determinant

Linear dynamics

AppDynSys : 2D Flows : Linear Equilibrium Types

AppDynSys : 2D Flows : Linear Equilibrium Types

In

AppDynSys : Double pendulum : SDIC

AppDynSys : Double pendulum : SDIC

What is chaotic

AppDynSys : 2D Flows : Linearization

AppDynSys : 2D Flows : Linearization

This simple example (x' = y ; y' = 1-xy) has a pair of equilibria. Linearizing the

AppDynSys : Networked Neurons : Graph Structure

AppDynSys : Networked Neurons : Graph Structure

In the previous example of five networked neurons with threshold-

AppDynSys : Pendula : Stable & Unstable Equilibria

AppDynSys : Pendula : Stable & Unstable Equilibria

This is part of a series of short simulations without audio on applied

AppDynSys : Staircase Diagrams : the Logistic Map

AppDynSys : Staircase Diagrams : the Logistic Map

There are a number of tools available to understand discrete-time

AppDynSys : 3D Flows : Linear Equilibria & Eigenvalues

AppDynSys : 3D Flows : Linear Equilibria & Eigenvalues

In 3-

AppDynSys : Hopf Bifurcation : Phase Portrait

AppDynSys : Hopf Bifurcation : Phase Portrait

The Hopf bifurcation is one of the most important in all of

AppDynSys : 2nd Order ODEs : Spinning Hoop Phase Portrait

AppDynSys : 2nd Order ODEs : Spinning Hoop Phase Portrait

The 2nd order differential equation for the frictionless bead on a spinning hoop has a phase portrait that generalizes what we saw ...

AppDynSys : Bifurcation Examples : Switch

AppDynSys : Bifurcation Examples : Switch

This is an illustration of the bifurcation (in state-versus-parameter space) in a model of a biochemical switch. You can see that ...

AppDynSys : Pendula : Horizontal shake

AppDynSys : Pendula : Horizontal shake

This is part of a series of short simulations without audio on applied

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 ...