MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint

Periodic motion and the arnold conjecture

Kishore Marathe


We discuss the geometric formulation of the classical Hamiltonian system of equations and the problem of existence of periodic solutions for such systems. After a brief discussion of the Poincaré-Birkhoff theorem we give the most general statement of the Arnold conjecture. In the remaining article we sketch the developments in symplectic topology motivated by the Arnold conjecture culminating in its proof.

Jan 18, 2000
Jan 18, 2000

Related publications

1999 Repository Open Access
Kishore B. Marathe

Periodic motion and the arnold conjecture