minicourse_diffusion

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“Arnold Diffusion and its applications”

by Rodrigo G. Schaefer

by invitation of Claudio Vidal (Universidad del Bío-Bío /Chile)

This course had 4 sessions of 1h via zoom sessions in November 10, 12, 18 and 19, 2020.

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4

References

• Arnold. Instability of Dynamical Systems with Several Degrees of Freedom. Dokl. Akad. Nauk SSR. 1064 .
• Arnold, Kozlov and Neishtadt. Mathematical Aspects of Classical and Celestial Mechanics. Encyclopedia of Mathematical Sciences. Dynamical Systems III, Springer, 2006.
• Delshams. Lectures on Symplectic Dynamics. 2016.
• Delshams, Kaloshin, de la Rosa and Seara. Global Instability in the Restricted Planar Elliptic Three Body Problem. Communications in Mathematical Physics. 2019.
• Delshams and Schaefer. Arnold Diffusion for a Complete Family of Perturbations. Regular and Chaotics Dynamics. 2017.
• de la Llave. A turorial on KAM theory.
• Treschev and Zubelevich. Introduction to the Perturbation Theory of Hamiltonian Systems. Springer-Monographs in Mathematics, 2010.