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Multi-Dimensional, First-Order, Nonlinear Systems

In: Discrete Dynamical Systems

Author

Listed:
  • Oded Galor

    (Brown University)

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.

Suggested Citation

  • Oded Galor, 2007. "Multi-Dimensional, First-Order, Nonlinear Systems," Springer Books, in: Discrete Dynamical Systems, edition 1, chapter 0, pages 93-105, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-36776-5_4
    DOI: 10.1007/3-540-36776-4_4
    as

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