Self-intersection of the complex separatrices and the nonexistence of the integrals in the Hamiltonian systems with one-and-half degrees of freedom
type: Item
instance of: scholarly article
title: Self-intersection of the complex separatrices and the nonexistence of the integrals in the Hamiltonian systems with one-and-half degrees of freedom
zbMATH Open document ID: 0503.70012
DOI: 10.1016/0021-8928(81)90075-7
author: S. L. Ziglin
published in: Journal of Applied Mathematics and Mechanics
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70H15
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 3793463
zbMATH Keywords: analytically dependent on parameter
zbMATH Keywords: one-and-half degrees
zbMATH Keywords: emergent complex separatrix
zbMATH Keywords: universal intersections
zbMATH Keywords: no analytic first integral
MaRDI profile type: Publication
full work available at URL: 0021-8928(81)90075-7
OpenAlex ID: W1970463641
cites work: Nonexistence of univalued integrals and branching of solutions in solid body dynamics
cites work: Q3308732
cites work: The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
description: scientific article; zbMATH DE number 3793463