Creating Phase Portraits in MATLAB: Tips and Tricks for Linear Systems"

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In summary, a phase portrait in MATLAB is a visual representation of the behavior of a linear system. To create one, you will need to define the system's equations using the "dsolve" function and plot the vector field and trajectories using the "quiver" or "streamslice" function and the "ode45" function. Some tips for creating phase portraits include using appropriate initial conditions and adjusting the plot's axes, scaling, and color. While commonly used for linear systems, phase portraits can also be used for some nonlinear systems. They can provide insight into the stability and behavior of the system, and can help predict future behavior by showing how the system responds to different initial conditions.
  • #1
maverick280857
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Hi

Doesn't MATLAB come with commands to draw phase portraits of linear systems? I can't seem to find anything in the help file. Google searches tell me about third party tools, which I am not supposed to use in my laboratory experiments and assignments.

Any ideas?

Thanks!
 
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  • #2
Is there any reason why you just can't solve the ODE and then plot the result?
 
  • #3
Sorry, I should have actually asked the following question: how do I plot attractor/repellor basins (with arrows)?
 

FAQ: Creating Phase Portraits in MATLAB: Tips and Tricks for Linear Systems"

What is a phase portrait in MATLAB?

A phase portrait in MATLAB is a visual representation of the behavior of a linear system. It shows how the variables in the system change over time and can help identify patterns and behaviors in the system.

How can I create a phase portrait in MATLAB?

To create a phase portrait in MATLAB, you will need to first define the equations that describe the system using the "dsolve" function. Then, use the "quiver" or "streamslice" function to plot the vector field of the system and the "ode45" function to plot the trajectories of the system over time.

What are some tips for creating phase portraits in MATLAB?

Some tips for creating phase portraits in MATLAB include using appropriate initial conditions, adjusting the axes and scaling of the plot, and changing the color and style of the trajectories to make the plot more visually appealing and easier to interpret.

Can phase portraits be used for nonlinear systems?

While phase portraits are commonly used for linear systems, they can also be used for some nonlinear systems. However, the equations describing the system may be more complex and require different methods for plotting the vector field and trajectories.

How can I use phase portraits to analyze a system?

Phase portraits can be used to analyze a system by identifying fixed points, or equilibrium points, where the system remains constant over time. These points can provide insight into the stability and behavior of the system. Additionally, phase portraits can show how the system responds to different initial conditions and can help predict future behavior of the system.

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