How do I plot a bifurcation diagram with known dynamical equations of motion (> 3 dimension)?
I have equation of motions for a system.The system is given by,
d[y]/dt=[f(x,t,parameters)] where, [y] is say 5 dimensional. I want to see how the solution changes with parameter. How do I write a code for that? The system is non-linear. Earlier I tried to plot bifurcation tree diagram for the system by storing variable after each period,by changing the parameter gradually to observe period doubling bifurcation, but in some cases I find some discontinuities that I don’t quite understand. Any reference on how to correctly plot bifurcation diagram would be appreciated.I have equation of motions for a system.The system is given by,
d[y]/dt=[f(x,t,parameters)] where, [y] is say 5 dimensional. I want to see how the solution changes with parameter. How do I write a code for that? The system is non-linear. Earlier I tried to plot bifurcation tree diagram for the system by storing variable after each period,by changing the parameter gradually to observe period doubling bifurcation, but in some cases I find some discontinuities that I don’t quite understand. Any reference on how to correctly plot bifurcation diagram would be appreciated. I have equation of motions for a system.The system is given by,
d[y]/dt=[f(x,t,parameters)] where, [y] is say 5 dimensional. I want to see how the solution changes with parameter. How do I write a code for that? The system is non-linear. Earlier I tried to plot bifurcation tree diagram for the system by storing variable after each period,by changing the parameter gradually to observe period doubling bifurcation, but in some cases I find some discontinuities that I don’t quite understand. Any reference on how to correctly plot bifurcation diagram would be appreciated. bifurcation diagram, bifurcation tree, bifurcation in dynamical system, bifurcation algorithm MATLAB Answers — New Questions