Explore: Kam Theory

move from KAM theory to Aubry–Mather theory which requires less stringent hypotheses and works with the Cantor-like sets. The existence of a KAM theorem

of mathematics: topological Galois theory (with his student Askold Khovanskii), symplectic topology and KAM theory. Arnold was also a populariser of mathematics

analysis, multiscale methods, computational fluid dynamics, and weak KAM theory. He is currently a professor in the Department of Mathematics and Program

problem restricted to the plane. In the KAM theory, chaotic planetary orbits would be bounded by quasiperiodic KAM tori. Arnold's result was extended to

Merit in 1998. Yoccoz's worked on the theory of dynamical systems. His contributions include advances to KAM theory, and the introduction of the method

astronomy and turn towards number theory instead. His best-known student was Jürgen Moser, one of the founders of KAM theory (Kolmogorov–Arnold–Moser), which

Pinzari, he succeeded in extending the KAM theorem for the three-body problem to the n-body problem. In KAM theory, Chierchia addressed invariant tori in

A.; Chierchia, L. (1987). "Rigorous estimates for a computer-assisted KAM theory". Journal of Mathematical Physics. 28 (9): 2078–86. Bibcode:1987JMP..

means of variational methods (Aubry-Mather theory), partial differential equations techniques (weak KAM theory and Hamilton-Jacobi equation) and geometric

of the Paris Diderot University (Paris VII). His research deals with KAM theory in partial differential equations (i.e. infinite dimensional Hamiltonian