3 votes
Accepted

Is it possible to make a phase portrait of this system?

You have this system \begin{align*} x'(t)&=y(t)\\ y'(t)&=-(\omega_1^{2} x + \omega_2^{2} x^3) \csc(\alpha) \end{align*} Convert to state space. Let $x_1=...
Nasser's user avatar
  • 142k
3 votes

Consumer Maximization Problem Doesn't Work in Wolfram Mathematica

Hint. For $f(x) > 0$ $$ \arg\max \log(f(x)) = \arg\max f(x) $$ so try instead ...
Cesareo's user avatar
  • 3,963
2 votes

Graph of a 3D discrete-time dynamical system

This is just to start. Ideally the question should be accompanied by an attempted coding I assumed the recursive relations have no error and that I made no mistakes in simplifications. ...
ubpdqn's user avatar
  • 60k
1 vote
Accepted

Insert a nonlinear PDE in Mathematica

ClearAll[h, x, n, t] hx = D[h[x, t], x]; ht = D[h[x, t], t]; sqrtTerm = Sqrt[1 + 4*n*Abs[hx]]; ode = -Sign[hx]*1/2*D[ h[x, t]*(sqrtTerm - 1), x] == -ht Just do ...
Nasser's user avatar
  • 142k
1 vote

Graph of a 3D discrete-time dynamical system

Here's an approach using my EcoEvo package. ...
Chris K's user avatar
  • 20.1k

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