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...

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...

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...

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...

Using the Andronov-Hopf bifurcation theorem and the Poincaré-Bendixson Theorem, this paper explores robust cyclical possibilities in a generalized Kolmogorov-Lotka-Volterra class of models with positive intraspecific cooperation in the prey population. This additional feedback effect introduces...