Geometric Methods for the Study of Biodynamical Systems. Symmetries and Conservation Laws

摘要

In this paper it will be studied dynamical systems arising from biology and ecology by geometrical methods of the Classical Mechanics. We will focus on finding symmetries and conservation laws, using symplectic and presymplectic formalisms. Moreover, we will obtain new kinds of conservation laws for symplectic and presymplectic systems, without the help of a Noether type theorem, only using symmetries and pseudosymmetries.