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Blue sky-like catastrophe for reversible nonlinear implicit ODEs

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  • We study for reversible implicit differential equations the bifurcation of bounded solutions connecting singularities in finite time and their approximation by shadowed periodic solutions. Melnikov like condition is derived. Application is given to planar nonlinear RLC system.
    Mathematics Subject Classification: Primary: 34A09, 34C23; Secondary: 37G40.


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