In this chapter, we introduce the concept of two-dimensional discrete maps. We begin the discussion with linear maps, determining their fixed points and the eigenvalues that characterize their stability. We then introduce nonlinear discrete maps and present a method to determine the linear stability of fixed points through the linearized equations. Finally, we discuss some well-known examples of discrete maps from the literature.

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Introduction to Two-Dimensional Discrete Maps

  • Edson Denis Leonel

摘要

In this chapter, we introduce the concept of two-dimensional discrete maps. We begin the discussion with linear maps, determining their fixed points and the eigenvalues that characterize their stability. We then introduce nonlinear discrete maps and present a method to determine the linear stability of fixed points through the linearized equations. Finally, we discuss some well-known examples of discrete maps from the literature.