Method for Computer Simulation of Chaotic and Complex Periodic Oscillations

V. Gontar, M. Gutman

    Research output: Contribution to journalArticlepeer-review

    1 Scopus citations

    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 languageEnglish
    Pages (from-to)203-219
    Number of pages17
    JournalMathematical and Computer Modelling of Dynamical Systems
    Volume5
    Issue number3
    DOIs
    StatePublished - 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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