Recurrence Network Measures for the Logistic Map

Description

The degree centrality and clustering coefficient of nodes in the recurrence network of a time series reveal complementary geometrical properties of the dynamics in phase space This helps to distinguish between the various dynamical regimes of a complex nonlinear system The logistic map provides a good model for dynamical transitions among regular laminar and chaotic behavior of a dynamical system The evolution and properties of the time series depend on the control parameter Observe how the degree and clustering series and frequency distribution evolve as you change the control parameter Can you identify periodic windows in a sea of chaos As you increase the recurrence threshold the recurrence network measures slowly approach those expected for a fully connected network

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mathematics modelling environment
#mathematics #modellingenvironment

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