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Dipòsit Digital de Documents de la UAB	7 registres trobats	La cerca s'ha fet en 0.00 segons.

16 p, 311.8 KB

Many periodic solutions for a second order cubic periodic differential equation / Buica, Adriana (Universitatea Babeş-Bolyai. Departamentul de Matematică (Romania)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this work is to provide results that assure the existence of many isolated T-periodic solutions for T-periodic second-order differential equations of the form x'' = a(t)x+b(t)x2+c(t)x3. We use bifurcation methods, including Malkin functions and results of Fonda, Sabatini and Zanolin. [...]
2020 - DOI (Digital Object Identifier)

10.1007/s00605-020-01433-4
Monatshefte fur Mathematik, vol. 193 (May 2020) p. 555-572

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14 p, 608.8 KB

Periodic solutions for nonlinear differential systems: The second order bifurcation function / Buica, Adriana (Babes-Bolyai University(Romania). Department of Mathematics) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We are concerned here with the classical problem of Poincaré of persistence of periodic solutions under small perturbations. The main contribution of this work is to give the expression of the second order bifurcation function in more general hypotheses than the ones already existing in the literature. [...]
2014
Topological Methods in Nonlinear Analysis, Vol. 43 Núm. 2 (2014) , p. 403-419

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13 p, 709.9 KB

A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter / Buica, Adriana (Babeç-Bolyai University(Romania). Department of Applied Mathematics) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We deal with nonlinear T-periodic differential systems depending on a small parameter. The unperturbed system has an invariant manifold of periodic solutions. We provide the expressions of the bifurcation functions up to second order in the small parameter in order that their simple zeros are initial values of the periodic solutions that persist after the perturbation. [...]
2012 - DOI (Digital Object Identifier)

10.1016/j.physd.2011.11.007
Physica D. Nonlinear phenomena, Vol. 241 (2012) , p. 528-533

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25 p, 793.0 KB

Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems / Buica, Adriana (Bolyai University. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makarenkov, Oleg (Imperial College London. Department of Mathematics)
2012 - DOI (Digital Object Identifier)

10.1016/j.jde.2011.11.019
Journal of differential equations, Vol. 252 (2012) , p. 3899-3919

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7 p, 318.1 KB

A Note on Forced Oscillations in Differential Equations with Jumping Nonlinearities / Buica, Adriana (Bolyai University. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makarenkov, Oleg (University of Texas at Dallas. Department of Mathematical Sciences)
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. [...]
2015 - DOI (Digital Object Identifier)

10.1007/s12591-014-0199-5
Differential Equations and Dynamical Systems, Vol. 23 Núm. 4 (2015) , p. 415-421

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14 p, 173.3 KB

The third order Melnikov function of a quadratic center under quadratic perturbation / Buica, Adriana ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Centre de Recerca Matemàtica
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit cycles.
Centre de Recerca Matemàtica 2006 (Prepublicacions del Centre de Recerca Matemàtica ; 688)

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13 p, 203.8 KB

Stability of periodic solutions obtained via the averaging method for nonsmooth Lipschitz system / Buica, Adriana ; Daniilidis, Aris ; Centre de Recerca Matemàtica
"Vegeu el resum a l'inici del document del fitxer adjunt".
Centre de Recerca Matemàtica 2006 (Prepublicacions del Centre de Recerca Matemàtica ; 714)

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