Abstract
A systematic approach is presented for predicting all the possible phase-plane diagrams of a system of two ordinary differential equations with widely separated time scales, and of the sequence of phase plane diagrams obtained by varying a parameter, i.e. bifurcation diagrams. The use of widely separated time scales enables the derivation of analytical algebraic expressions predicting all the transitions (bifurcations). A method is presented for a systematic finding of all the bifurcation diagrams for a system of two differential equations containing two parameters. The method is extended to systems containing many parameters. Application to the design and analysis and experimental observations are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1653-1664 |
| Number of pages | 12 |
| Journal | Chemical Engineering Science |
| Volume | 40 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1985 |
| Externally published | Yes |