Hello! In the system that I am studying, a Branch Point of Cycles bifurcation occurs during the single-parameter continuation of stable limit cycle. Since the system possesses discrete symmetries (permutations of some phase variables, also reflections), it is quite likely that in this case BPC might have lower codimension. Is it possible to compute this curve in Matcont, either directly or by using some workaround? The second question is related to the initializers that are available, when selecting...
Dear Hil Meijer, thank you for your help! I guess I'll uncheck LPNS box for now. I also have two questions that are slightly related to my initial one: 1) is it possible in MATCONT to take, for example, R1 bifurcation point and continue it (as a curve) in three-dimensional parameter space? I don't remember seeing such example in the tutorials that I've read though... 2) is there a tutorial with a troubleshooting guide for when any of the default parameters should be changed, like number of mesh intervals...
So, in order to reproduce the error, follow these steps. Step 1 Use the system Coordinates g1,g2,g3,g4 Parameters r,a,b Equations g1'=-0.2*r*sin(b - 2*g1) + 0.2*r*sin(b + 2*g1) - 0.2*r*sin(b - 2*g2) - 0.2*r*sin(b - 2*g3) - 0.2*r*sin(b - 2*g4) + 0.2*r*sin(b + 2*g1 - 2*g2) + 0.2*r*sin(b + 2*g1 - 2*g3) + 0.2*r*sin(b + 2*g1 - 2*g4) + 0.2*sin(a - g1) - 0.2*sin(a + g1) + 0.2*sin(a - g2) + 0.2*sin(a - g3) + 0.2*sin(a - g4) - 0.2*sin(a + g1 - g2) - 0.2*sin(a + g1 - g3) - 0.2*sin(a + g1 - g4) g2'=-0.2*r*sin(b...
So, in order to reproduce the error, follow these steps. Step 1 Use the system Coordinates g1,g2,g3,g4 Parameters r,a,b Equations g1'=-0.2*r*sin(b - 2*g1) + 0.2*r*sin(b + 2*g1) - 0.2*r*sin(b - 2*g2) - 0.2*r*sin(b - 2*g3) - 0.2*r*sin(b - 2*g4) + 0.2*r*sin(b + 2*g1 - 2*g2) + 0.2*r*sin(b + 2*g1 - 2*g3) + 0.2*r*sin(b + 2*g1 - 2*g4) + 0.2*sin(a - g1) - 0.2*sin(a + g1) + 0.2*sin(a - g2) + 0.2*sin(a - g3) + 0.2*sin(a - g4) - 0.2*sin(a + g1 - g2) - 0.2*sin(a + g1 - g3) - 0.2*sin(a + g1 - g4) g2'=-0.2*r*sin(b...
Oh, I can provide the necessary details for continuation that experienced this trouble. I can provide the system and step-by-step instructions to reproduce the error later, should I provide any additional information?
Hello! This is the problem that I have encountered few times while doing continuation in MATCONT. I am using MATLAB R2021b with MATCONT7p3. This message is cryptic to me, even last warning and error in MATLAB output does not help to understand in what direction I should look in order to fix something. Thanks in advance for the help!
Hello! This is the problem that I have encountered few times while doing continuation in MATCONT. I am using MATLAB R2021b with MATCONT7p3. This message is cryptic to me, even warnings and errors in MATLAB output does not help to understand in what direction I should look. Thanks in advance for the help!
Hello! It seems that forced_spring.py has an example of a piecewise oscillator system. It also shows how to set up a proper hybrid model for such problems. Probably it has what you need. Documentation says: The point type MX is associated with some type of computational difficulty. It usually represents non-convergence based on our tolerances, but for many different reasons (e.g. initial point is too far from the requested curve type, too close to a homoclinic (large period), ...). As far I understand...