Multiple Brake Orbits on the Cotangent Space of Torus

In this paper, we study the multiplicity of brake orbits on certain symplectic manifold. We give a criterion to find brake orbits for even Hamiltonian on the cotangent space of \(\mathbb{T}^{n}\) $${\mathbb{T}}^n$$ by the methods of the Maslov-index theory and a critical point theorem formulated by Bartsch and Wang in [1]. More specifically, if H is even and satisfies certain growth conditions, one can find more brake orbits on the cotangent space of \(\mathbb{T}^{n}\) $${\mathbb{T}}^n$$ .