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What is Homoclinic Orbits in Classical Mechanics about?

This document is a study of homoclinic orbits in classical mechanics. It begins by defining a homoclinic orbit as an orbit that approaches a fixed point under iteration, both in the future and in the past. It then proves that the existence of one homoclinic point implies the existence of a whole Cantor set of homoclinic points, implicitly constructing the Smale horseshoe. It analyzes the properties of homoclinic orbits in more detail, showing how they lead to chaotic behavior in the dynamics.

Author

DAVID ROSAS VARA

Language

EN