I argue that a form of consciousness may be found in American economic history, one which is both mathematically demonstrable and important. In this book I present a model of economic and political growth based upon systematic addition. We begin with a philosophic model of trade (pp. 34-46);...

The formation of the European Union (EU) is the one of the biggest political – economic events of the last 50 years. The aim of this study is to develop EU economy functioning system dynamic model. Main research method is system dynamics. General scheme of EU economy system dynamic model is...

This paper proposes an empirical method to estimate the model of sustainable profit and corporate social responsibility originated by Sudtasan and Suriya (2013). It suggests analysts to use data from official financial statements of companies which may be reported to the Stock Exchange in a...

In this paper the issue of mathematical programming and optimization has being revisited. The theory of optimization deals with the development of models and methods that determine optimal solutions to mathematical problems defined. Mathematical model must be some function of any solution that...

I study connected manifolds and prove that a proper map f: M - M is globally invertible when it has a nonvanishing Jacobian and the fundamental group pi (M) is finite. This includes finite and infinite dimensional manifolds. Reciprocally, if pi (M) is infinite, there exist locally invertible...

The paper discusses implementation of a research that is aimed at development of a simulation model which would allow analyzing different development strategies of the third generation university. Small countries’ universities have limits of growth. The problem can be solved with a new...

Using a macroeconomic example, the paper proposes an algorithm to symbolically construct the topological normal form of Andronov-Hopf bifurcation. It also offers a program, using the Computer Algebra System `Maxima', to apply this algorithm. In case the limit cycle turns out to be unstable, the...

The paper demonstrates possibilities of both convergence to the steady state and emergence of stable growth cycles around it in a simple macrodynamic model of debt-financed investment-led growth. The growth cycles are robust and are generated endogenously, either due to the existence of a...

This paper demonstrates the diverse dynamical possibilities arising out of a simple macroeconomic model of debt-financed investment-led growth in the presence of interest rate rules. We show possibilities of convergence to steady state, growth cycles around it as well as various complex...

This paper demonstrates the diverse dynamical possibilities of a simple macroeconomic model of debt-financed investment-led growth in the presence of interest rate rules. We show possibilities of convergence to steady state, growth cycles around it as well as various complex dynamics from codim...