scholarly journals Periodic Perturbations: Parametric Systems

Author(s):  
Albert Morozov



2014 ◽  
Vol 24 (05) ◽  
pp. 1450061 ◽  
Author(s):  
Albert D. Morozov ◽  
Olga S. Kostromina

Time-periodic perturbations of an asymmetric Duffing–Van-der-Pol equation close to an integrable equation with a homoclinic "figure-eight" of a saddle are considered. The behavior of solutions outside the neighborhood of "figure-eight" is studied analytically. The problem of limit cycles for an autonomous equation is solved and resonance zones for a nonautonomous equation are analyzed. The behavior of the separatrices of a fixed saddle point of the Poincaré map in the small neighborhood of the unperturbed "figure-eight" is ascertained. The results obtained are illustrated by numerical computations.



2010 ◽  
Vol 81 (3) ◽  
Author(s):  
M. C. Lemos ◽  
A. Córdoba ◽  
J. A. de la Torre




1992 ◽  
Vol 329 (1) ◽  
pp. 41-72 ◽  
Author(s):  
Anna Capietto ◽  
Jean Mawhin ◽  
Fabio Zanolin




Sign in / Sign up

Export Citation Format

Share Document