Mixing
Solve linear system of ODEs with periodic coefficient
$begingroup$
I am trying a solve a system of linear ODEs with periodic coefficients.
x'(t)= a11*x(t) + a12*(1 + km*Sin(w*t))*y(t) + b1*Sin(w*t)
y'(t)= a21*x(t) + a22*(1 + km*Sin(w*t))*y(t) + b2*Sin(w*t)
Here a11, a12, a21, a22, b1, b2, and km are constant.
I have read some articles and found that Floquet theory is more appropriate approach to solve, but I am having difficulty to find the fundamental matrix.
Any suggestion to analytically solve these equations.
Thank You
ordinary-differential-equations
asked Jan 25 at 19:35
T S SinghT S Singh
11
$endgroup$
add a comment |
$begingroup$
I am trying a solve a system of linear ODEs with periodic coefficients.
x'(t)= a11*x(t) + a12*(1 + km*Sin(w*t))*y(t) + b1*Sin(w*t)
y'(t)= a21*x(t) + a22*(1 + km*Sin(w*t))*y(t) + b2*Sin(w*t)
Here a11, a12, a21, a22, b1, b2, and km are constant.
I have read some articles and found that Floquet theory is more appropriate approach to solve, but I am having difficulty to find the fundamental matrix.
Any suggestion to analytically solve these equations.
Thank You
ordinary-differential-equations
asked Jan 25 at 19:35
T S SinghT S Singh
11
$endgroup$
add a comment |
$begingroup$
I am trying a solve a system of linear ODEs with periodic coefficients.
x'(t)= a11*x(t) + a12*(1 + km*Sin(w*t))*y(t) + b1*Sin(w*t)
y'(t)= a21*x(t) + a22*(1 + km*Sin(w*t))*y(t) + b2*Sin(w*t)
Here a11, a12, a21, a22, b1, b2, and km are constant.
I have read some articles and found that Floquet theory is more appropriate approach to solve, but I am having difficulty to find the fundamental matrix.
Any suggestion to analytically solve these equations.
Thank You
ordinary-differential-equations
asked Jan 25 at 19:35
T S SinghT S Singh
11
$endgroup$
I am trying a solve a system of linear ODEs with periodic coefficients.
x'(t)= a11*x(t) + a12*(1 + km*Sin(w*t))*y(t) + b1*Sin(w*t)
y'(t)= a21*x(t) + a22*(1 + km*Sin(w*t))*y(t) + b2*Sin(w*t)
Here a11, a12, a21, a22, b1, b2, and km are constant.
I have read some articles and found that Floquet theory is more appropriate approach to solve, but I am having difficulty to find the fundamental matrix.
Any suggestion to analytically solve these equations.
Thank You
ordinary-differential-equations
ordinary-differential-equations
asked Jan 25 at 19:35
T S SinghT S Singh
11
asked Jan 25 at 19:35
T S SinghT S Singh
11
asked Jan 25 at 19:35
T S SinghT S Singh
11
asked Jan 25 at 19:35
T S SinghT S Singh
11
asked Jan 25 at 19:35
T S SinghT S Singh
11
11
add a comment |
add a comment |
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