Until a fix is provided, you can push on the debug button next to the interrupt button and then quit the debugger.

Or you can use the Maple screen reader version (which I do).

I think this new warning is for the case that more than one mserver.exe are in use. This is already the case when you start Maple. There are two mservers running (whatever they are doing). These will not profit from the fix. Most times this will not matter but theoretically it could if the fix is relevant for these two mservers

You could try solve (I expand here on vv's answer):

P := numer(normal(C1 - C2))/(lambda*varphi):
params:={indets(P)[]};
conds:=seq(i>0, i in %);
solve({P<0,conds});

However, Maple is not comming to an end because too many cases have to be looked at (where cases are relations between the parameters). To better understand the nature of the solutions Maple has to compute below is a much simpler example

Download simple.mw

For 1:
I do not understand. Are you talking about lists, sets or sequences? For sets (i.e. formed with {}) Maple orders the output. For list and sequences the order does not change. You can send an example to make it clearer (use the green arrow)

For 2:
You can insert a table with two columns and one row. Leave the first column empty and adjust the width to the indentation you want. In the second column enter the bullet points. If you want more space between the bullets and the text, use three columns.

For 3:
You find Format Tab navigation in the screen reader version of Maple 2025. The Maple documentation is not fully up to date for the new GUI (such things take time). I cannot find Tab Navigation in the new GUI and it might not exist. With the older GUI I could never make Tabs work.

It's this call to genpoly in evala/inv/heuristic which causes the hang. The argument mods(r,n) is effectively a too large integer. genpoly uses GMP because GMP can also deal with integers.

Timelimit is a Maple kernel function. When the kernel calls an external dll the kernel(including timelimit) waits for the external function to finish. Waiting means not doing anything. The kernel is on halt (is inactive) and can therefore not kill/terminate the running dll. Only the operating system can do that. To avoid such situations, I guess, Maple must check the parameters before calling the dll. Not all dlls are the same. Some might be able to communicate from time to time with mserver.exe (i.e. waking mserver.exe up)

That my hypothesis.

Download toxic.mw

What speaks against

simplify((A/B)^2)
                               1

>We can show that B never gets complex.

(is(0 < (-8*x - 16)*exp(x/2) + x^2 + 4*x + 16*exp(x) + 4) assuming real);
                              true

Meaning B is postive for x>0 and negative for x<0. This is the same for A which means that the squaring in simplify((A/B)^2) is not removing a -1 in A or B when A and B are of opposite sign. Correct!?!

Simplify could apply the same piecewise reasoning to (simplify(A/B) assuming real). Below is a sketch of this approach far from beeing a propper solution. For general use a piecewise investigation of the occurence of complex expression and signs must be implemented.

>  interface(version); (1) >  restart; >  A:=-x*(x - 4*exp(x/2) + 2); B:=x*sqrt((-8*x - 16)*exp(x/2) + x^2 + 4*x + 16*exp(x) + 4); (2) >  plots:-display(Array([plot(A,x=-3..3),plot(B,x=-3..3)])) >  Digits:=16; seq(MmaTranslator:-Mma:-Chop(A-B),x=-2..2,.1) (3) >  simplify(A-B); (4) >  simplify(A-B) assuming real; (5) >  simplify(evala(A-B)) assuming real; (6) >  simplify(normal(A-B)) assuming real; (7) >  simplify(A-B,exp) assuming real; (8) >  simplify(evalc(A-B)) assuming real; (9) >  chk:=proc(A,B) if(((is(A>0) assuming positive) and (is(A < 0) assuming negative)) and (is(B>0) assuming positive) and (is(B < 0) assuming negative)) then    if is(simplify(A^2/B^2)=1) then       print("A equals B for real valued x")    else       print("chk cannot confirm that A=B")    end if; end if end proc: chk(A,B); (10)

Download show_same_may_3_2025-1_piecewise.mw

Solve cannot solve for H[j] because Maple does not know for which j a solution is wanted.

Look at this example for N=3 where j can be 1, 2 or 3

Download solve_for_H[j].mw

@GFY 

To avoid a big part of the problems you have encountered a continuous chirp of Ω will not show the transient response you have observed. With that you solve the problem of using results of a former calculation as input for a subsequent calculation. "Stabiltiy" will be reached much faster. With respect to stabilty criteria (and theory) I cannot add more than what has been said already. You need a robust magnitude detector and do statistic within a well chosen timeframe. In Maple there are many ways to do this.

The chirprate will be crucial. If its too fast, "steady state" will not be reached. Attached is a hands on modification of your worksheet that shows quite some similarity to mmcdara sophisticated approach. Since I have applied a linear chirp, the timescale can be reaplaced by a frequency scale.

Edit: ic5 set at t=-100 to dampen the initial transient.

Download 2_reply.mw

Maybe helpfull to find previous menu items:

?updates,Maple2025,RibbonMapping

I could not reproduce it with Maple 2025 but got an error message with 2020.

Maybe updating your driver can help. Clearly there is something with `#mo("2")` that makes the call special. 

I get decent results with 

Maybe this can help with 2015 as well

I agree with mmcdara that setting up the problem plays an important role on the complexity of results. But even with the smartest approch sometimes expressions are complex. In yours and similar cases the command

indets(g1, anything)

will generate a set of all operands. In the same way one can now create sets for other expressions and filter common subsexpressions by the command intersect

Intersect := (indets(g1, anything) intersect indets(g2, anything)) intersect indets(g3, anything);
                /                                            
  Intersect := { -2, -1, 2, 4, Ce, Cm, U, a, beta, delta, k, 
                \                                            

                       2      2   2      2          2  
    lambda, w, U[0], Ce , beta , w , U[0] , (w + Ce) , 

                     2                                 \ 
    (-delta + w + Ce) , -delta, w + Ce, -delta + w + Ce }
                                                       / 

In many cases, sums are of interest to be replaced by new names. To filter for those select is a handy command

select(type, Intersect, `+`);
                   {w + Ce, -delta + w + Ce}

I attach here my experiments Difference_two_model-rply.mw including a procedure that returns all operands in the same way as indets(...,anything) does.

If this answer is not helpfull for this question it might be for similar hard problems.

For the "old" Java GUI start the application below. It seems to work

Download ode_test_with_physics_march_25_2025-reply.mw

Not sure if I understand correctly "execution cell". There are execution groups and paragraphs in Maple.

If you want to insert in document mode a new paragraph in "text mode" you can use this menu option encircled in red.

The option encircled in blue corresponds to the menu Insert -> Paragraph. I am not aware of a default that changes the behavior of Insert menu.

Similarily in worksheet mode an execution group in "text mode" is inserted that does not execute.

These buttons are a time saver. I do not see them in Maple 2025.

Try

ResponsePlot(sys, Step()) 

following the helppage of ResponsePlot. Or:

ResponsePlot(sys, 1()) 

By the way, to investigate error messages it is helpfull to upload code with the green arrow