7 citations · 20 across the 5 of their papers we have counts for
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Bifurcations, Schwarzian derivatives and Feigenbaum constant revisited
Andrei Vieru
The main purpose is to show that Feigenbaum delta constant is much more universal than believed. The paper is mainly devoted to period-doubling processes in families in one paramet…
About Stable Periodic Helixes, L-iteration and Chaos Generated by Unbounded Functions
Andrei Vieru
We consider stable periodic helixes as a generalization of stable periodic orbits. We see that in the studied class of iterated functions Chaos always arise suddenly. Therefore, we…
General definitions of chaos for continuous and discrete-time processes
Andrei Vieru
A precise definition of chaos for discrete processes based on iteration already exists. We shall first reformulate it in a more general frame, taking into account the fact that dis…
Generalized iteration, catastrophes and generalized Sharkovsky's ordering
Andrei Vieru
We define iteration of functions that map n-dimensional vector spaces into m-dimensional vector spaces (m at most equal to n). It happens that usual iteration and Fibonacci iterati…