On computer-aided solving differential equations and stability study of markets.
On D’Alembert’s Principle
A formulation of the D’Alembert principle as the orthogonal projection of the acceleration onto an affine plane determined by nonlinear nonholonomic constraints is given. Consequences of this formulation for the equations of motion are discussed in the context of several examples, together with the attendant singular reduction theory.
On symmetries and constants of motion in Hamiltonian systems with nonholonomic constraints
On the topology of an integrable variant of a nonholonomic Suslov problem