Article | REF: S7186 V1

Bifurcation structures in nonlinear discrete-time systems

Author: Danièle FOURNIER-PRUNARET

Publication date: April 10, 2024

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2. Examples of discrete-time systems

We will now propose the study of three real system models featuring the bifurcation structures discussed in the previous section, and see what this implies for the operation and use of these systems.

The first is the encoder model of a transmission system. The purpose of the study is to find out the parameter values for which the system functions correctly. The second models a forced oscillator found in various applications. The third is a hybrid circuit used to produce chaotic signals.

2.1 Pulse modulation modulator with differential coding

The aim of this section is to analyze the differential pulse code modulation (DPCM) modulator, whose schematic is shown in figure

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Examples of discrete-time systems