Corpus ID: 115155058

Generalized iteration, catastrophes and generalized Sharkovsky's ordering

@inproceedings{Vieru2008GeneralizedIC,
  title={Generalized iteration, catastrophes and generalized Sharkovsky's ordering},
  author={Andrei Vieru},
  year={2008}
}
  • Andrei Vieru
  • Published 2008
  • Mathematics
  • 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 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.