Real transformations with polynomial invariants

DOI10.1016/0393-0440(95)00026-7zbMath0851.34006OpenAlexW2049354840MaRDI QIDQ1919287

E. Norman Dancer, John F. Toland

Publication date: 18 September 1996

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00026-7

zbMATH Keywords

dynamical systemstopological invariantsfirst integrallinear Hamiltonian systemsdegenerate Hamiltonian systemsKrejn theoryspectrum of a real linear transformation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Polynomials and matrices (11C99)

Cites Work

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• Degree Theory for Orbits of Prescribed Period of Flows with a First Integral
• Equilibrium States in the Degree Theory of Periodic Orbits with a First Integral
• The Index Change and Global Bifurcation for Flows with a First Integral
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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