Find circle map parameters $K, Omega$, for certain predetermined orbits.
$begingroup$
Find $K, Omega in mathbb{R}$ such that the circle map $theta_{n-1} = [theta_n + Omega + dfrac{K}{2pi}sin(2pi theta_n)]quad(mod 1)$ has a fixed point and a period $3$ orbit.
I was reading through this document https://www.physics.drexel.edu/~bob/PHYS750_NLD/ch7.pdf to try to get a better understanding of circle maps. And I was wondering if one can find these parameters in some obvious way that I'm just not thinking of?
If somebody has some suggestion as to where I can find the information I need or if somebody could please explain it to me that would be great!
Thanks!
dynamical-systems
asked Dec 3 '18 at 15:16
L200123L200123
855
$endgroup$
add a comment |
$begingroup$
Find $K, Omega in mathbb{R}$ such that the circle map $theta_{n-1} = [theta_n + Omega + dfrac{K}{2pi}sin(2pi theta_n)]quad(mod 1)$ has a fixed point and a period $3$ orbit.
I was reading through this document https://www.physics.drexel.edu/~bob/PHYS750_NLD/ch7.pdf to try to get a better understanding of circle maps. And I was wondering if one can find these parameters in some obvious way that I'm just not thinking of?
If somebody has some suggestion as to where I can find the information I need or if somebody could please explain it to me that would be great!
Thanks!
dynamical-systems
asked Dec 3 '18 at 15:16
L200123L200123
855
$endgroup$
add a comment |
$begingroup$
Find $K, Omega in mathbb{R}$ such that the circle map $theta_{n-1} = [theta_n + Omega + dfrac{K}{2pi}sin(2pi theta_n)]quad(mod 1)$ has a fixed point and a period $3$ orbit.
I was reading through this document https://www.physics.drexel.edu/~bob/PHYS750_NLD/ch7.pdf to try to get a better understanding of circle maps. And I was wondering if one can find these parameters in some obvious way that I'm just not thinking of?
If somebody has some suggestion as to where I can find the information I need or if somebody could please explain it to me that would be great!
Thanks!
dynamical-systems
asked Dec 3 '18 at 15:16
L200123L200123
855
$endgroup$
Find $K, Omega in mathbb{R}$ such that the circle map $theta_{n-1} = [theta_n + Omega + dfrac{K}{2pi}sin(2pi theta_n)]quad(mod 1)$ has a fixed point and a period $3$ orbit.
I was reading through this document https://www.physics.drexel.edu/~bob/PHYS750_NLD/ch7.pdf to try to get a better understanding of circle maps. And I was wondering if one can find these parameters in some obvious way that I'm just not thinking of?
If somebody has some suggestion as to where I can find the information I need or if somebody could please explain it to me that would be great!
Thanks!
dynamical-systems
dynamical-systems
asked Dec 3 '18 at 15:16
L200123L200123
855
asked Dec 3 '18 at 15:16
L200123L200123
855
asked Dec 3 '18 at 15:16
L200123L200123
855
asked Dec 3 '18 at 15:16
L200123L200123
855
asked Dec 3 '18 at 15:16
L200123L200123
855
855
add a comment |
add a comment |
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