Limits of stability for an area-preserving polynomial mapping

DOI10.1007/BF01243740zbMath0511.70018MaRDI QIDQ4749266

J. H. jun. Bartlett

Publication date: 1982

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

fixed pointstwist mappingunstable regionsHenon-Heiles mappingcriteria of Moserlimits of stability for an area-preserving polynomial mapping

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15)

Related Items (5)

Resonances in area-preserving maps ⋮ A Lagrangian description of transport associated with a front-eddy interaction: application to data from the North-Western Mediterranean Sea ⋮ On the geometry of transport in phase space. I. Transport in k-degree-of- freedom Hamiltonian systems, \(2\leq k<\infty\) ⋮ Analytical invariant manifolds near unstable points and the structure of chaos ⋮ Transport in Hamiltonian systems

Cites Work

• Nonexistence of integrals for canonical systems of differential equations
• Instability of an area-preserving polynomial mapping

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