Generalized iteration, catastrophes and generalized Sharkovsky's ordering

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dc.creatorVieru, Andrei
dc.date2008-01-24
dc.date2008-03-07
dc.date.accessioned2026-07-07T09:25:07Z
dc.date.available2026-07-07T09:25:07Z
dc.descriptionWe 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 iterative methods become special cases of this generalized iteration. Mathematical objects such as orbits, bifurcations, chaos, Feigenbaum constant, (generalized) Sharkovsky ordering, (generalized) Julia and Mandelbrot sets and a new kind of catastrophe can be found and studied in this enlarged context.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0801.3755
dc.identifierhttp://arxiv.org/abs/0801.3755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156300
dc.subjectDynamical Systems
dc.subject37-02
dc.titleGeneralized iteration, catastrophes and generalized Sharkovsky's ordering
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