Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8

DOI10.1051/cocv:1999107zbMath0957.58002OpenAlexW1975920859MaRDI QIDQ4242065

Piotr Mormul, Mohamad H. Cheaito

Publication date: 16 June 1999

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/90538

zbMATH Keywords

distributionflagsmall growth vectorderived systemGoursat condition

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Exterior differential systems (Cartan theory) (58A15)

Related Items (9)

Automorphisms of flag systems ⋮ Geometric classes of Goursat flags and the arithmetics of their encoding by small growth vectors ⋮ Abnormal curves on the Goursat systems of \(\mathbb{R}^{n}\) ⋮ Kumpera-Ruiz algebras in Goursat flags are optimal in small lengths ⋮ Geometric approach to Goursat flags ⋮ LOCAL FORM OF SYSTEMS SATISFYING SOME CONDITIONS ON THE SMALL AND THE GREAT GROWTH VECTOR ⋮ Optimality of singular curves in the problem of a car with \(n\) trailers ⋮ ABNORMAL CURVES ON A FAMILY OF GOURSAT SYSTEMS ⋮ Flag systems and ordinary differential equations

Cites Work

• Nilpotent bases for a class of nonintegrable distributions with applications to trajectory generation for nonholonomic systems
• Rigid and abnormal line subdistributions of \(2\)-distributions
• The car with N Trailers : characterization of the singular configurations
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