Melnikov Method for a Class of Generalized Ziegler Pendulums

The Melnikov method is applied to a class of generalized Ziegler pendulums. We find an analytical form for the separatrix of the system in terms of Jacobian elliptic integrals, holding for a large class of initial conditions and parameters. By working in Duffing approximation, we apply the Melnikov...

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Bibliografiske detaljer

Principais autores:	Stefano Disca, Vincenzo Coscia
Format:	Artigo
Sprog:	Inglês
Udgivet:	MDPI AG 2025-04-01
Serier:	Mathematics
Fag:	double pendulum follower force Melnikov integral homoclinic intersections time-periodic perturbations dissipation
Online adgang:	https://www.mdpi.com/2227-7390/13/8/1267
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