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Examples of Two-Dimensional Systems

In: Discrete Dynamical Systems

Author

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  • Oded Galor

    (Brown University)

Abstract

This chapter provides a complete characterization of several representative examples of two-dimensional dynamical systems. These examples include a first-order linear system with real eigenvalues, a first-order linear system with complex eigenvalues that exhibits periodic orbit, a first-order linear system with complex eigenvalues that exhibits a spiral sink, a first-order nonlinear system characterized by oscillatory convergence, and a second-order one-dimensional system that is converted into a first-order, two-dimensional system characterized by a continuum of equilibria and oscillatory divergence.

Suggested Citation

  • Oded Galor, 2007. "Examples of Two-Dimensional Systems," Springer Books, in: Discrete Dynamical Systems, edition 1, chapter 0, pages 115-145, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-36776-5_6
    DOI: 10.1007/3-540-36776-4_6
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