Linked Questions

10 votes
1 answer
9k views

Bifurcation Diagram for 1D Map

Continuing with the same question I have posted earlier I would like to find the equation of the stable fixed point curve using my graph, i.e. from the curve somehow find the equation for $x=f(x)$. I ...
John Stamos's user avatar
13 votes
1 answer
6k views

Bifurcation diagrams for multiple equation systems

I am interested in constructing a bifurcation diagram for some of my parameters (especially for β and γ) in the dynamical system given in the code below. I want to see how parameter changes affect the ...
vyperultra's user avatar
3 votes
2 answers
5k views

Plotting the results of iterating a function

This is what I am stuck on f[a_][x_] := x^2 + a; w[a_] := Take[NestList[f[-1.8], 0, 1000], 100] Now I want to evaluate this for different values of the constant $...
John Stamos's user avatar
7 votes
2 answers
549 views

Find a stable 3-cycle of the sine map

I am trying to find an stable 3-cycle for the sine map $g(x) = a \sin(\pi x)$ but I do not know exactly how to use mathematica to do so. Is there anyone familiar with this? $x$ lies as before ...
user65365's user avatar
4 votes
1 answer
2k views

Bifurcation diagram for ODEs

I have a system of ODEs ...
Patrick's user avatar
  • 99
1 vote
1 answer
1k views

Plotting a Hopf bifurcation diagram [closed]

Can anyone guide me on how to obtain the Hopf Bifurcation diagram? I am very new to this topic.I am trying to plot a Hopf bifurcation diagram for the system with bifurcation parameter ...
Sonam Dorji's user avatar
0 votes
2 answers
1k views

Bifurcation with a system of equations

I'm trying to plot a flip bifurcation diagram for a dynamical system of equations as follows: x'[t] == v[t] v'[t] == x[t] - A x[t]^3 + R*Cos[ω*t] - B v[t] but am ...
user10698's user avatar
0 votes
1 answer
367 views

No output for bifurcation diagram

I am plotting a bifurcation diagram for my system with A on x-axis following the code in, How to make a bifurcation diagram of the Lorenz system under a varying ...
AtoZ's user avatar
  • 471
0 votes
0 answers
317 views

Bifurcation diagram for coupled nonlinear equations

My code is the following ...
AtoZ's user avatar
  • 471
1 vote
0 answers
41 views

what the meaning of function definition in this form? [duplicate]

In the post Mathematica code for Bifurcation Diagram, I noticed that Mark McClure define a function like this: f[a_][x_] := a*x - 1.19 x^3; I wonder its ...
PureLine's user avatar
  • 1,310