Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems

Nicola Sansonetto
Associate Professor
Research interests
Topic People Description
Nonholonomic dynamcis Nicola Sansonetto
Nonholonomic systems are mechanical systems with constraints in the velocities. Incollaboration with the research group in Padova, we investigate the geometry and form of the equations of motions, investigate their integrability and symmetric properites and apply our results to concrete examples. We also apply our knoledge and methods to geometric control of mechanical systems.
Finite dimensional Hamiltonian and non-Hamiltonian integrable systems Nicola Sansonetto
We focus on semiglobal and global aspect regarding the geometry and dynamics of integrable finite dimensional Hamiltonian and non-Hamiltonian systems, and recently of small perturbations of non-Hamiltonian systems. General integrability results about non-Hamiltonian finite dimensional systems are investigated, in particular on almost symplectic and Poisson manifolds and on Dirac manifolds.

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