Tagged Questions
5
votes
1answer
219 views
about Jacobian and eigenvalues
I am studying the dynamical system on a discrete standard map
$$x_{n+1} = f(x_n, y_n)$$
$$y_{n+1} = g(x_n, y_n)$$
First of all, could anyone explain the difference between the stationary point and ...
0
votes
1answer
72 views
Help to find eigenvalues
In this paper the authors have the dynamical system
$$\begin{align}
T_f \dot{y}_f & = -y_f + (1-\alpha(v))\varphi(z,d) &(1)\\
T_r \dot{y}_r & = -y_r + \alpha(v) \varphi(z,d) &(2)\\
...
2
votes
1answer
120 views
Eigenvalues of diff-system(can't understand)
In this paper the authors have the dynamical system
$$\begin{align}
T_f \dot{y}_f & = -y_f + (1-\alpha(v))\varphi(z,d) \\
T_r \dot{y}_r & = -y_r + \alpha(v) \varphi(z,d) \\
\dot{z} ...
0
votes
1answer
131 views
does the following dynamic system converge to a steady state?
This is an economics problem, but I'm pretty sure this kind of thing comes up elsewhere. I've used dynamic programming to find the optimal path of a system (law of motion), which is:
...
2
votes
1answer
697 views
Zero State, Stable Equilibrium, Dynamic System
Could someone please help?
The question reads:
For which real numbers $k$ is the zero state a stable equilibrium of the dynamic system
$x_{t+1} = Ax_t$?
$A = \begin{bmatrix} 0.1 &k \\ 0.3 & ...
