Computational tools for nonlinear dynamical and bifurcation analysis of chemical engineering problems

摘要

We present a program package CONT for modelling and analysis of nonlinear problems in general, and chemical engineering problems, such as chemical reactors or adsorption columns, in particular. Model should be in the form of ordinary differential equations, spatially distributed systems described by partial differential equations may also be treated upon transformation to ODEs by a built-in discretization. A basic method used in the program is continuation of a steady state, periodic solution or another boundary value problem with respect to a parameter which provides a solution diagram. Simultaneous stability analysis helps to identify bifurcation points in such diagrams and these may be continued with respect to another parameter to obtain a bifurcation diagram. Additionally, the program performs a direct integration of ODEs, calculates Poincare orbits and Lyapunov exponents, which are useful for analysis of complex dynamics.