The present book is devoted to Finsler-Lagrange geometry and its applications to dynamical
systems. The geometries of Finsler, Lagrange and Hamilton spaces were studied by …

In this article, we study the robustness of biological systems by means of the eigenstructure
of the deviation curvature tensor. This is the differential geometric theory of the variational …

For a system of second order differential equations we determine a nonlinear connection
that is compatible with a given generalized Lagrange metric. Using this nonlinear …

Volterra–Hamilton production models with discounting: general theory and worked examples -
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A new geometric viewpoint of the Lorenz system is proposed based on a theory of tangent
bundle. By introducing the geometrical viewpoints of second order system governed by …

For a system of (k+ 1) order differential equations (or a semispray of order k on the tangent
bundle of order k) we determine a nonlinear connection induced by it. This nonlinear …

The robustness and the fragility of a second-order SODE is studied by means of the five
KCC invariants, which provide information on the Jacobi stability ([1, 8, 53, 1 4]). The paper …

In this paper we construct some multi-time geometrical extensions of the Kosambi-Cartan-
Chern (KCC)-invariants, which characterize a given second-order system of PDEs on the 1 …

The geometry of a system of second order differential equations is the geometry of a
semispray, which is a globally defined vector field on TM. The metrizability of a given …

This paper is dedicated to exhaustive structural analysis of the holonomy invariant foliated
cocycles on the tangent bundle of an arbitrary $(m+ n) $-dimensional manifold. For this …