A phase portrait is a geometric representation of the trajectories of a dynamical system in the phase plane. Each set of initial conditions is represented by a different curve, or point. Phase portraits are an invaluable tool in studying dynamical systems. They consist of a plot of typical trajectories in the state space. This reveals information such as whether an attractor, a repellor or limit cycle is present for the chosen parameter value. The concept of topological equivalence is important in classifying the behaviour of systems by specifying when two different phase portraits represent the same qualitative dynamic behavior. An attractor is a stable point which is also called "sink". The repeller is considered as an unstable point, which is also known as "source". A phase portrait graph of a dynamical system depicts the system's trajectories (with arrows) and stable steady states (with dots) and unstable steady states (with circles) in a state space. The axes are of state variables. (Wikipedia).
The Flash - Speed Painting - Part 1 sketch
First of a series of video to show my working process. The Flash is one of my favourite DC characters and this is the first sketch concept for the upcoming complete digital painting series.
From playlist Timelapses, Speed Paintings and Sketches
The Thirties in Colour (episode 2)
Documentary with color footage recorded by home video enthusiasts in the 1930's.
From playlist History
The Thirties in Colour (episode 1)
Documentary with color footage recorded in the 1930's by home video enthusiasts.
From playlist History
Sometimes a closeup works best, but other times you may want a wider-angle shot. You can experiment by moving closer and farther away from your subject, or by using your camera's zoom. We hope you enjoy! To learn more, check out our written lesson here: https://edu.gcfglobal.org/en/digita
From playlist Digital Photography
Stereolab "Ticker Tape Of The Unconscious" (Montage)
Taken from the album "Dots And Loops".
From playlist the absolute best of stereolab
reaLD 3D glasses filter with a linear polarising filter
This is for a post on my blog: http://blog.stevemould.com
From playlist Everything in chronological order
The Flash - Speed Painting - Part 2 Line Art and Inking
Second of a series of video to show my working process. The Flash is one of my favourite DC characters and this is the line art and the inking process.
From playlist Timelapses, Speed Paintings and Sketches
Phase portrait of a stable or unstable node | Lecture 43 | Differential Equations for Engineers
How to draw a phase portrait of a stable or unstable node arising from a system of linear differential equations. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf
From playlist Differential Equations for Engineers
(3.1.4) Introduction to Autonomous Systems of ODEs and Phase Portraits
This video introduces autonomous systems of ODEs and phase portraits. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
(8.1.102) Creating Phase Portraits for Nonlinear Autonomous Systems of ODEs
This video explains how to use an online tool to create a phase portrait or phase diagram for given nonlinear system of differential equation. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
On the connection between wave resonance, shear .. by Anirban Guha
DATES Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE Madhava Lecture Hall, ICTS, Bangalore APPLY This program is first-of-its-kind in India with a specific focus to provide research experience and training to highly motivated students and young researchers in the interdisciplinary field
From playlist Summer Research Program on Dynamics of Complex Systems
Drawing Phase Portraits for Nonlinear Systems
This video shows how to draw phase portraits and analyze fully nonlinear systems. Specifically, we identify all of the fixed points, linearize around these fixed points, analyze the stability with eigenvalues and eigenvectors, and then infer global nonlinear dynamics outside of these regi
From playlist Engineering Math: Differential Equations and Dynamical Systems
Mod-05 Lec-25 2 by 2 systems and Phase Plane Analysis
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Phase Portrait for Double Well Potential
No one can hear you scream in phase space. In this video we explore the phase portrait of a double-well potential system, which is a fun example of a nonlinear system (i.e., differential equation) that can be analyzed with local linearization and linear solution techniques. Playlist:
From playlist Engineering Math: Differential Equations and Dynamical Systems
ME564 Lecture 10: Examples of nonlinear systems: particle in a potential well
ME564 Lecture 10 Engineering Mathematics at the University of Washington Examples of nonlinear systems: particle in a potential well Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L10.pdf Course Website: http://faculty.washington.edu/sbrunton/me564/ http://faculty.washington.ed
From playlist Engineering Mathematics (UW ME564 and ME565)
Phase portrait of a saddle point | Lecture 44 | Differential Equations for Engineers
How to draw a phase portrait of a saddle point arising from a system of linear differential equations. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe
From playlist Differential Equations for Engineers
Phase space representation of the billiard in an ellipse
Phase space representations are a tool widely used by mathematicians to analyze the dynamics of mathematical billiards. This representation allows to obtain at one glance a general view of the system, giving a kind of map of all possible trajectories. At the top right of this simulation,
From playlist Particles in billiards