Abstract:
A two-dimensional system of ordinary differential equations is constructed. The system possesses the following properties. The solution to a Cauchy problem with computable initial values is computable, the lower Lyapunov exponent is non-computable, the upper central exponent does not coincide with the higher Lyapunov exponent and is non-computable.
Key words:Lyapunov exponents, upper central exponent, computable real, computable solution of differential equation.