ON THE CONSTRUCTION OF TRANSFORMATIONS OF LINEAR HAMILTONIAN SYSTEMS TO REAL NORMAL FORMS

DOI10.1142/S0218127400001353zbMath0976.70012MaRDI QIDQ4522210

Eric A. Butcher, Subhash C. Sinha

Publication date: 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

linear Hamiltonian systemnormal formdegenerate eigenvalueszero eigenvaluesimaginary eigenvaluessymplectic linear transformation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Normal forms for nonlinear problems in mechanics (70K45) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• Quadratic integrals of linear Hamiltonian systems
• Normal forms and versal deformations of linear Hamiltonian systems
• New aspects in the theory of stability of Hamiltonian systems
• Canonical forms for symplectic and Hamiltonian matrices
• Linear Hamiltonian systems are integrable with quadratics
• Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
• [https://portal.mardi4nfdi.de/wiki/Publication:5615964 Normalisation des syst�mes lin�aires canoniques et application au probl�me restreint des trois corps]
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
• On the Normal Forms of Linear Canonical Transformations in Dynamics
• The Exponential Representation of Canonical Matrices

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