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;
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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