15 Reputation

4 years, 126 days

@Rouben Rostamian   First of all, I...

First of all, I was wrong about your willingness to help. My question is for persons who really want to help. I mentioned that I am beginner in Maple, so you don't have to prove your superiority; Neither to be interested "enough" in the subject.

Secondly, x(t+1)=A(t)x(t) is the diagonal recurrence system (http://arxiv.org/pdf/1506.04656v1.pdf) and x & A are defined in the article.

Thirdly, I need a Maple code, not mathematics quotes.

The reason for which my questions are incomplete is that I really don't know what Maple could do.

Thank you

@Rouben Rostamian   This is the rec...

This is the recurrence system (3rd section in the article):

(the Floquet multipliers and the monodromy matrix are described below)

I think the whole article is useful for a good understanding.

@Carl Love  Sorry for that question...

Sorry for that question with incomplete information.

x(t^1, t^2) is a bivariate sequence (discrete multitime recurrences)

1\alpha has 1 on the position alpha and 0 otherwise. 1 = (0, . . . , 0, 1, 0, . . . , 0) ∈ Z^m

http://arxiv.org/pdf/1506.04656.pdf

http://arxiv.org/pdf/1506.02508v1.pdf

We introduce a two-time logistic map as a recurrence relation of degree 2,
x(t + 1\alpha ) = r*x(t)*(1 - x(t)); t = (t^1; t^2)∈N^2; x(t) ∈ R; \alpha = 1, 2;
where x(t) is a number between zero and one that represents the ratio of
existing population to the maximum possible population.

This two-time recurrence is an archetypal example of how complex, chaotic
behavior can arise from very simple non-linear recurrence equations.

If r = 2, then the solution is
x(t) =1/2-1/2*(1-2x0)^2^(t1+t2), for x0 in [0,1)

r=4...

Thank you

@Carl Love  Well, I'd like to solve...

Well, I'd like to solve and plot the one with periodic coefficients (to obtain the monodromy matrix and the Floquet multipliers) but I am a maple beginner, so I'd be thankful for any tips on how to solve this kind of multitime recurrences.

@Preben Alsholm  It works in Maple1...

It works in Maple15.

Thank you very much!

 Page 1 of 1
﻿