yanders

Dear Hil You are right. For special functions, double-angle formulas can indeed be used, but for example,"γcos(ωt)+γcos(1.1ω*t)", the double-angle formulas is no longer applicable. So what should we do by MATCONT? Best regards yanders

Dear Hil Thank you very much for your help, I will try as you said。 Best regards Yanders

Dear matcont community, According to the "Frequency response of nonlinear oscillator" written by Prof. Hilmeijer, I can easily draw the amplitude-frequency response curve, but the problem now is that the force is "γcos(ωt)+γsin(2ωt)". I don't know if the method is correct? i.e., u′ = −ωv + u(1 − u² − v²), v′ = ωu + v(1 − u² − v²); u1′ = −2ωv1 + u1(1 − u1² − v1²), v1′ = 2ωu1 + v1(1 − u1² − v1²)? However, as I wrote it, the result cannot be continued and displays "Current step size too small (point...

Dear matcont community, According to the "Frequency response of nonlinear oscillator" written by Prof. Hilmeijer, I can easily draw the amplitude-frequency response curve, but the problem now is that the force is "γcos(ωt)+γsin(2ωt)". I don't know if the method I wrote in the attachment is correct? i.e., u′ = −ωv + u(1 − u² − v²), v′ = ωu + v(1 − u² − v²); u1′ = −2ωv1 + u1(1 − u1² − v1²), v1′ = 2ωu1 + v1(1 − u1² − v1²)? However, as I wrote it, the result cannot be continued and displays "Current...

Dear matcont community, According to the "Frequency response of nonlinear oscillator" written by Prof. Hilmeijer, I can easily draw the amplitude-frequency response curve, but the problem now is that the force is "γcos(ωt)+γcos(2ωt)". I don't know if the method I wrote in the attachment is correct? i.e., u′ = −ωv + u(1 − u² − v²), v′ = ωu + v(1 − u² − v²); u1′ = −2ωv1 + u1(1 − u1² − v1²), v1′ = 2ωu1 + v1(1 − u1² − v1²)? However, as I wrote it, the result cannot be continued and displays "Current...

Dear matcont community, According to the "Frequency response of nonlinear oscillator" written by Prof. Hilmeijer, I can easily draw the amplitude-frequency response curve, but the problem now is that the force is "γcos(ωt)+γcos(2ωt)". I don't know if the method I wrote in the attachment is correct? i.e., u′ = −ωv + u(1 − u² − v²), v′ = ωu + v(1 − u² − v²); u1′ = −2ωv1 + u1(1 − u1² − v1²), v1′ = 2ωu1 + v1(1 − u1² − v1²)? However, as I wrote it, the result cannot be continued and displays "Current...

Dear matcont community, According to the "Frequency response of nonlinear oscillator" written by Prof. Hilmeijer, I can easily draw the amplitude-frequency response curve, but the problem now is that the force is "γcos(ωt)+γcos(2ωt)". I don't know if the method I wrote in the attachment is correct? i.e., u′ = −ωv + u(1 − u² − v²), v′ = ωu + v(1 − u² − v²); u1′ = −2ωv1 + u1(1 − u1² − v1²), v1′ = 2ωu1 + v1(1 − u1² − v1²)? However, as I wrote it, the result cannot be continued and displays "Current...