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Iterated Maps on the Interval as Dynamical Systems J. P. Eckmann, Pierre Collet
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Explorations in dynamical systems (by Vaughn Climenhaga) Piecewise expanding interval maps. This recurrent event-related modelling approach . This approach and its capabilities and applications as a systematic advance are based on nonlinear dynamical system analysis methods, especially recurrent equations and iterated map functions. We consider maps {T\colon X\rightarrow X} of the form shown in Figure 1, where {X=[0,1]} is the unit interval. For instance, the rate equations of biochemical network given a location in state space, tell us by how much each concentration will change in the next small increment of time interval. The map {T} is assumed to be {C^2} on each of finitely many intervals whose union is {X} — these are called the .. Please note that Interval has additional member resorts that are not included in the resort directory. Iterated Maps on the Interval as Dynamical Systems Collet Invitation to Dynamical Systems Scheinerman Invariant manifolds. Iterated Maps on the Interval as Dynamical Systems. Iterated maps on the interval as dynamical systems Heidi (1577595467) by Dalmatian Press Staff, Johanna Spyri. The snapshots show the power spectrum of the logistic map time series for four different dynamical regimes (periodic, band merging chaotic, laminar chaotic, fully chaotic).