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Nonlinear Discrete Dynamical Systems
2001Most of the dynamics displayed by highly complicated nonlinear systems also appear for simple nonlinear systems. The reader is first introduced to the tent function, which is composed of two straight lines. The graphical method of iteration is introduced using this simple function since the constructions may be easily carried out with graph paper, rule,
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Nonlinear Discrete Dynamical Systems
2012In this chapter, the basic concepts of nonlinear discrete systems will be presented. The local and global theory of stability and bifurcation for nonlinear discrete systems will be discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at fixed points under specific period will be presented.
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Linear Discrete Dynamical Systems
2001To introduce recurrence relations for first-and second-order difference equations. To introduce the theory of the Leslie model. To apply the theory to modeling the population of a single species.
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