Abstract
The possibility of constructing chaotic and complex periodic orbits of desired configurations is demonstrated on one-dimensional discontinuous maps. With appropriately located discontinuity, these maps can generate a rich selection of specific orbits with long laminar segments. A simple method is proposed to determine the features of the orbit obtained. This technique, applied to special maps with a horizontal linear branch, allows us to generate a great variety of stable periodic orbits with a specified future by only small variations of the map control parameter.
| Original language | English |
|---|---|
| Pages (from-to) | 203-219 |
| Number of pages | 17 |
| Journal | Mathematical and Computer Modelling of Dynamical Systems |
| Volume | 5 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Jan 1999 |
Keywords
- Bifurcation diagrams
- Chaos
- Computer simulation
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Modeling and Simulation
- Computer Science Applications
- Applied Mathematics
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