Multi-Dimensional, First-Order, Nonlinear Systems

Oded Galor

Chapter Chapter 4 in Discrete Dynamical Systems, 2007, pp 93-105 from Springer

Abstract: Abstract This chapter characterizes the evolution of a vector of state variables in multi-dimensional, first-order, nonlinear systems of difference equations. It utilizes the analysis of linear, multi-dimensional, first-order systems to characterize the trajectory of nonlinear systems via their linearization in the proximity of a steady-state equilibrium, and the examination of the local and the global properties of these systems, based on the Stable Manifold Theorem.

Keywords: Nonlinear System; Jacobian Matrix; Global Stability; Contraction Mapping; Unstable Manifold (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-36776-5_4

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DOI: 10.1007/3-540-36776-4_4

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