The starting point is the model developed by araujo and souza 2010 who departing from a microeconomic point of view of agents choice making and going through a macroeconomic assessment of formal and informal sectors behaviours. The present paper, together with the previous one part 1. Bach, johann sebastian 7088 traditional 5795 haendel, georg friedrich 2239 mozart, wolfgang amadeus 2219 anonymous 2206 beethoven, ludwig van 2190. Since several years lyapunov characteristic exponents are of interest in the study of dynamical systems in order to characterize quantitatively their stochasticity properties, related essentially to the exponential divergence of nearby orbits. Lyapunov stability in an evolutionary game theory model of. Primo criterio di lyapunov criterio ridotto di lyapunov. Metodo diretto di lyapunov per sistemi continui 157 esempio 4. The lotkavolterra equations describe an ecological predatorprey or parasite host model which assumes that, for a set of fixed positive constants a. Theory, published in this journal is intended to give an explicit method for computing all lyapunov characteristic exponents of a dynamical system.
The starting point is the model developed by araujo and souza 2010 who departing from a microeconomic point of view of agents choice making and going through a macroeconomic assessment of formal and informal sectors behaviours delineate optimal policies that. Lyapunov theorem for beginners mathematics stack exchange. Modified lyapunov equations for lti descriptor systems. After the general theory on such exponents developed in the first part, in the present paper the computational method is described chapter a and some. Most proofs of lyapunovs theorem i know are highly nonconstructive.
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