Method for Computer Simulation of Chaotic and Complex Periodic Oscillations

V. Gontar and M. Gutman

Mathematical and Computer Modelling of Dynamical Systems, 1999, vol. 5, issue 3, 203-219

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.

Date: 1999
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DOI: 10.1076/mcmd.5.3.203.3682

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