Per citar aquest document: http://ddd.uab.cat/record/145281
A Note on Forced Oscillations in Differential Equations with Jumping Nonlinearities
Buica, Adriana
Llibre, Jaume
Makarenkov, Oleg

Data: 2015
Resum: The goal of this paper is to study bifurcations of asymptotically stable 2-periodic solutions in the forced asymmetric oscillator u c u u a u^ =1 t by means of a Lipschitz generalization of the second Bogolubov's theorem due to the authors. The small parameter >0 is introduced in such a way that any solution of the system corresponding to =0 is 2-periodic. We show that exactly one of these solutions whose amplitude is ^2 c^2 generates a branch of 2-periodic solutions when >0 increases. The solutions of this branch are asymptotically stable provided that c>0.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: asymptotic stability ; Jumping nonlinearity ; Method of averaging ; periodic solutions
Publicat a: Differential Equations and Dynamical Systems, Vol. 23 Núm. 4 (2015) , p. 415-421

DOI: 10.1007/s12591-014-0199-5


7 p, 318.1 KB

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