Planar Non-Linear ODE: The Regular Case

Paulo Brito

Chapter Chapter 5 in Economic Dynamics and Distributions, 2026, pp 137-170 from Springer

Abstract: Abstract The material of the previous two chapters allows us to shortly present some of the main elements of the qualitative theory of regular non-linear ordinary differential equations. This chapter studies several normal forms for planar systems, highlighting the main differences between local and global dynamics, between generic and non-generic dynamic phenomena—as heteroclinic, and homoclinic orbits, and limit cycles—and the associated (regular) bifurcations. It also presents applications on economics, in particular, to the benchmark Ramsey model, the possible dynamics of maximized Hamiltonian dynamic systems, and the difference between bifurcation and comparative dynamics analyses.

Date: 2026
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:dymchp:978-3-031-94717-9_5

Ordering information: This item can be ordered from
http://www.springer.com/9783031947179

DOI: 10.1007/978-3-031-94717-9_5

Access Statistics for this chapter

More chapters in Dynamic Modeling and Econometrics in Economics and Finance from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().