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

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SUMMARY

MATLAB does not have built-in commands specifically for drawing phase portraits of linear systems, which can lead to confusion among users. Instead, users can solve ordinary differential equations (ODEs) and plot the results to visualize the system's behavior. For plotting attractor and repeller basins with arrows, users need to implement custom plotting techniques using MATLAB's plotting functions. This approach allows for a more tailored visualization of the system dynamics.

PREREQUISITES
  • Familiarity with MATLAB programming
  • Understanding of ordinary differential equations (ODEs)
  • Knowledge of linear systems theory
  • Experience with MATLAB plotting functions
NEXT STEPS
  • Research how to solve ODEs in MATLAB using the 'ode45' function
  • Learn about MATLAB's 'quiver' function for plotting vector fields
  • Explore techniques for visualizing attractor and repeller basins in MATLAB
  • Investigate MATLAB's 'meshgrid' function for creating grid points in phase space
USEFUL FOR

Students, researchers, and engineers working with linear systems in MATLAB, particularly those interested in visualizing dynamic behaviors through phase portraits.

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

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