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.
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© 2007 Springer-Verlag Berlin Heidelberg
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Galor, O. (2007). Multi-Dimensional, First-Order, Nonlinear Systems. In: Discrete Dynamical Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36776-4_4
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DOI: https://doi.org/10.1007/3-540-36776-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-36775-8
Online ISBN: 978-3-540-36776-5
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