کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1703602 | 1519417 | 2013 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Bogdanov–Takens bifurcation in an oscillator with negative damping and delayed position feedback Bogdanov–Takens bifurcation in an oscillator with negative damping and delayed position feedback](/preview/png/1703602.png)
In this paper, Bogdanov–Takens bifurcation occurring in an oscillator with negative damping and delayed position feedback is investigated. By using center manifold reduction and normal form theory, dynamical classification near Bogdanov–Takens point can be completely figured out in terms of the second and third derivatives of delayed feedback term evaluated at the zero equilibrium. The obtained normal form and numerical simulations show that multistability, heteroclinic orbits, stable double homoclinic orbits, large amplitude periodic oscillation, and subcritical Hopf bifurcation occur in an oscillator with negative damping and delayed position feedback. The results indicate that negative damping and delayed position feedback can make the system produce more complicated dynamics.
Journal: Applied Mathematical Modelling - Volume 37, Issues 16–17, 1 September 2013, Pages 8091–8105