In my Maple program, the voltage output of the system is computed as a time-domain response under different time intervals. The response curve has already been successfully obtained and plotted.

However, I would like to further extract and plot the envelope of this response. I initially attempted to determine the envelope by identifying the extrema of the signal, i.e., by solving the condition that the time derivative of the response equals zero. Unfortunately, this approach consistently leads to error messages, and I am not sure whether the issue is related to symbolic differentiation, numerical noise, or the implementation itself.

Could anyone please advise on:

1. The correct way to extract an envelope curve from a time-domain signal in Maple?

2. Whether there are alternative or more robust methods (e.g., based on numerical post-processing, signal processing techniques, or built-in Maple tools) to obtain the envelope, especially for numerically computed responses?

Any suggestions or example commands would be greatly appreciated.

Thank you in advance for your help.
numsolve-1229.mw

I would like to keep writing commands on the same line without automatically creating a new line break. Is there a way to achieve this in Maple?

I'm working on a system of coupled ordinary differential equations with multiple degrees of freedom. I would like to explore the existence of multiple solutions by using a bifurcation diagram. To this end, I tried using the built-in Bifurcation command in Maple. However, the command repeatedly returns errors and fails to produce the expected plots.

Has anyone successfully used the Bifurcation command in Maple for coupled ODE systems? Are there specific settings or prerequisites that I might be missing? I would greatly appreciate any guidance or example code demonstrating how to properly use this command for such systems.
bifurcation.mw

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nature_frequency_question.mw

I’m trying to plot a 3D surface in Maple with variables l and m. I used numerical substitution to evaluate the function and the results are real and positive. However, when I plot the function over a range of l and m, the graph shows complex (imaginary) values instead.

This seems very strange to me and has been quite frustrating. I’ve tried many different approaches to resolve the issue, but nothing has worked so far.

Why is this happening? How can the function evaluate to real numbers with direct substitution, but show complex values during plotting?

Any suggestions or explanations would be greatly appreciated. Thank you!
gra423_Omega.mw