Resonances for Kovalevskaya exponents and their memory of some tensor laws of conservation
The author considers the system of differential equations \({dx_i\over dt}= v_i(x)\), \(1\leq i\leq n\). It is supposed that this system is invariant under substitution \(t\to\lambda^{-1}t\), \(x_k\to\lambda^{g_k} x_k\), \(1\leq k\leq n\), \(\lambda,g_k\in\mathbb{R}\). The connections between Kovalevskaya exponents and conservation laws of the above system are established.
scientific article; zbMATH DE number 1028387