Solving 3rd Order Dynamical Systems

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SUMMARY

This discussion focuses on solving 3rd order dynamical systems, highlighting the limitations of MATLAB's pplane6, which only handles 2nd order systems. Users seeking to analyze higher order systems can utilize software such as Maple, Mathematica, and MATLAB's Control System Toolbox, which offer specialized functions for solving and graphically interpreting these equations. The conversation also emphasizes the importance of consulting educational resources and peers for software recommendations tailored to specific requirements.

PREREQUISITES
  • Understanding of differential equations, particularly 2nd and 3rd order systems.
  • Familiarity with MATLAB, specifically the pplane6 tool.
  • Knowledge of alternative mathematical software like Maple and Mathematica.
  • Basic programming skills in MATLAB for custom codec development.
NEXT STEPS
  • Explore the built-in functions of MATLAB's Control System Toolbox for higher order systems.
  • Learn how to use Maple for solving 3rd order dynamical systems.
  • Investigate Mathematica's capabilities for graphically interpreting complex differential equations.
  • Research online tutorials for practical applications of these software tools in dynamical systems analysis.
USEFUL FOR

This discussion is beneficial for students and professionals in engineering, applied mathematics, and physics who are working with dynamical systems and require tools for analyzing higher order differential equations.

abercrombiems02
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often in my differentail equations class i took last semester we frequently evaluated 2nd order systems, they could easily be calculuted in MATLAB using pplane6, however pplane6 can only solve systems of 2nd order or less, because as its name says its a phase plane, meaning it can only evaluate the relationship between two variables simultaneously. Often in my dynamics class i find that I need to evaluate 3 states when working in three dimensions and always have to choose a numerical value for one of my variables and then evaluate the phase plane at that point, does anyone out there know of any software that can analyze and graphically interperet a 3rd order system of higher?
 
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I know that what I am going to say to you is not going to like you too much. But if you want to learn more, write your own codec in Matlab. Your class companions will treat you with a lot of respect. :smile:

This is said by someone tired of searching Matlab programes in internet. I never found what I am looking for (Hey! it sounds to me as a U2 song).
 


There are several software options that can solve and graphically interpret 3rd order dynamical systems. Some popular choices include Maple, Mathematica, and MATLAB's Control System Toolbox. These programs have built-in functions and tools specifically designed for solving higher order systems of differential equations. Additionally, there are also online resources and tutorials available for using these software programs to solve 3rd order dynamical systems. It may also be helpful to consult with your professor or classmates for recommendations on which software would be best suited for your specific needs.
 

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