Generic singularities of distributions of codimension 2 and bi-Hamiltonian structures

DOI10.1016/S0007-4497(00)01071-XzbMath1183.49004MaRDI QIDQ5949428

Fernand Pelletier

Publication date: 9 April 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

integrable Hamiltonian systemsbi-Hamiltonian structuresabnormal curvesgeneric distributionsPoisson tensorsstratificationsWeinstein fibrations

Mathematics Subject Classification ID

Synthesis problems (93B50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Existence theories for optimal control problems involving ordinary differential equations (49J15) Dynamical systems in control (37N35)

Related Items (1)

Characteristic vector fields of generic distributions of corank 2

Cites Work

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• Abnormal Minimizers
• Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• Generic properties of singular trajectories
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