We study for reversible implicit differential equations the bifur- cation of bounded solutions connecting singularities in finite time and their approximation by shadowed periodic solutions. Melnikov like condition is de- rived. Application is given to planar nonlinear RLC systems
Blue sky-like catastrophe for reversible nonlinear implicit odes / Battelli, Flaviano; Fečkan, Michal. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 9:4(2016), pp. 895-922. [10.3934/dcdss.2016034]
Blue sky-like catastrophe for reversible nonlinear implicit odes
BATTELLI, Flaviano;
2016-01-01
Abstract
We study for reversible implicit differential equations the bifur- cation of bounded solutions connecting singularities in finite time and their approximation by shadowed periodic solutions. Melnikov like condition is de- rived. Application is given to planar nonlinear RLC systemsFile in questo prodotto:
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