On computer-aided solving differential equations and stability study of markets

DOI10.1007/s10958-006-0062-5zbMath1114.37037OpenAlexW2094192084MaRDI QIDQ2567704

Dimitry Leites

Publication date: 11 October 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227696

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Symmetries, invariants of ordinary differential equations (34C14) Dynamical systems in control (37N35) Auctions, bargaining, bidding and selling, and other market models (91B26) Nonholonomic dynamical systems (37J60)

Uses Software

• SuperLie

Cites Work

• Bundle of nilpotent Lie algebras over a nonholonomic manifold (nilpotentization)
• p-adic analog of the Kazhdan-Lusztig hypothesis
• On the equivalence problems associated with simple graded Lie algebras
• The Wagner curvature tensor in nonholonomic mechanics
• The Riemann tensor for nonholonomic manifolds
• Five exceptional simple Lie superalgebras of vector fields
• On infinitesimal automorphisms of Siegel domains
• Systems with preferred spin direction
• Responses to ``Theoretical Mathematics: Toward\\ a cultural synthesis of mathematics and\\ theoretical physics, by A. Jaffe and F. Quinn
• Superconformal Algebras and Lie Superalgebras of the Hodge Theory
• On Einstein Equations on Manifolds and Supermanifolds
• Lie superalgebras of string theories.
• How to quantize the antibracket
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