Can we select arbitrary.ĭear Mohammadreza, Thank you very much for taking the time to review my graphs, I have obtained the result graph.
ODE45 MATLAB 2018B HOW TO
However, I don't know how to select the initial value of coordinates in matcont. On Fri, at 1:24 PM yanders wrote: Dear Mohammadreza, Thank you very much for taking the time to review my graphs, I have obtained the result graph. There is no limitation on selecting the initial conditions for x1 and x2 but for u and v it must remain on a circle with radius of unit. Regards, yandersĭear Yanders, I am glad to hear that you managed to get the results. I drew Figure "plot 1", how does Matcont draw unstable regions with dashed lines, as shown in "plot 2"? Best regards yandersĭear Mohammadreza, Thank you very much for your help. To get around that, do the following: First a clean start with matcont 1 1 (just two.ĭear Hil I want to plot the stable regions of my bifurcation diagram using solid lines and the unstable regions using dash lines.
or - if you like) If the option is not there, then you have started MatCont with a existing system having an older session without this "LC if unstable" option. Under LC if unstable enter 'Color', 'blue', 'linestyle', ':' (replace the : by. To do this, select in the Main window "Options->Plot Properties". In MatCont7px, it is possible to plot the unstable branch of a LC or EP-curve with a different line style. Time integration of the ODE before and after the bifurcation nevertheless shows characteristics.ĭear Hil Thank you for your help. Apparently this is decided during the calculation of the normal form coefficient in nfNS.m. Matcont detects a bifurcation there, but suggests it is a Neutral Saddle cycle instead of a Neimark-Sacker bifurcation. Hello community, during codimension-1 continuation of limit cycles with an autonomous system of differential equations, two Floquet multipliers are departing the unit cycle at an oblique angle. x' = y x"= y' = f cos (wt) - kx - cy - alpha x^3 How could i get the steady state response for this equation using MatCont can anyone give step by step procedure? thanks in advanceĬan anyone give step by step procedure? thanks in advance how should formulate the standard equations of motions? Duffing equation mx"+cx'+kx+alpha x^3 = f cos (wt) i have converted this equation to two first order DE's and solved for transient response. I have to plot the frequency vs amplitude curve for duffing and van der pol oscillators. One approach is to treat the phase as an additional variable φ, which has a first derivative of w: *> x' = y x"= y' = f cos (φ) - kx - cy - alpha x^3 φ’=w* Now the equations are transformed in the autonomous form, however this method needs some care: the phase variable will continuously increase and therefore achieving periodic motion. Your differential equation seems to be non-autonomous, since the oscillator is driven and there is an explicit dependance by the time, at the cosinus phase term "wt". One approach is to treat the phase as an additional variable φ, which has a first derivative of w: x' = y x"= y' = f cos (φ) - kx - cy - alpha x^3 φ’=w* Now the equations are transformed in the autonomous form, however this method needs some care: the phase variable will continuously increase and therefore achieving periodic motion. One approach is to treat the phase as an additional variable φ, which has a first derivative of w: x' = y x"= y' = f cos (φ) - kx - cy - alpha x^3 φ’=w Now the equations are transformed in the autonomous form, however this method needs some care: the phase variable will continuously increase and therefore achieving periodic motion with.
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