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Chenciner Bifurcation Presenting a Further Degree of Degeneration

Author

Listed:
  • Sorin Lugojan

    (Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania
    These authors contributed equally to this work.)

  • Loredana Ciurdariu

    (Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania
    These authors contributed equally to this work.)

  • Eugenia Grecu

    (Department of Management, Politehnica University of Timisoara, 300006 Timisoara, Romania
    These authors contributed equally to this work.)

Abstract

Chenciner bifurcation appears for some two-dimensional systems with discrete time having two independent variables. Investigated here is a special case of degeneration where the implicit function theorem cannot be used around the origin, so a new approach is necessary. In this scenario, there are many more bifurcation diagrams than in the two non-degenerated cases. Several numerical simulations are presented.

Suggested Citation

  • Sorin Lugojan & Loredana Ciurdariu & Eugenia Grecu, 2022. "Chenciner Bifurcation Presenting a Further Degree of Degeneration," Mathematics, MDPI, vol. 10(9), pages 1-17, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1603-:d:811094
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    Cited by:

    1. Sorin Lugojan & Loredana Ciurdariu & Eugenia Grecu, 2022. "Another Case of Degenerated Discrete Chenciner Dynamic System and Economics," Mathematics, MDPI, vol. 10(20), pages 1-19, October.

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