This volume explores nonlinear dynamics in mathematical economic modelling. The formation of spatial patterns, such as market areas, trade flows and settlement structures, are studied. The basic approach is to study the qualitative features of the structurally stable pattern by means of the generic theory of differential equations, as well as their transformations by means of catastrophe theory. The main part dwells on business cycle theory, using a family of non-linear multiplier accelerator models put in spatial setting by inter-regional trade. The models are capable of producing sustained frequency locked oscillation, quasi-periodicity and chaos. A mixture of analytical methods, such as perturbation analysis, and heuristic simulations is used. The third edition has been thoroughly revised and considerably expanded, in particular with reference to the study of chaotic behaviour.
- ISBN10 3540561455
- ISBN13 9783540561453
- Publish Date December 1992 (first published January 1991)
- Publish Status Out of Print
- Out of Print 12 January 1995
- Publish Country DE
- Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Edition 3rd Revised edition
- Format Hardcover
- Pages 232
- Language English