CHAOS AND PERIODICITY IN A DISCRETE-TIME BAIER-SAHLE MODEL

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Published: 2017-02-10

Page: 123-130


ANGELA DA SILVA

Departamento de Fsica, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil.

PAULO C. RECH *

Departamento de Fsica, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil.

*Author to whom correspondence should be addressed.


Abstract

We investigate a discrete-time dynamical system, described by a n-dimensional map which is derived from the continuous-time Baier-Sahle system by the forward Euler method. We report on twodimensional parameter-spaces for this system. More specifically we show that for n = 3, can be seen periodic structures embedded in a quasiperiodic region, similar to the Arnold tongues of the circle map, whose periods are organized in a period-adding sequence. We also show that for n > 3, trajectories in the phase-space are always unbounded.

Keywords: Period-adding, baier-sahle flow;, euler method, arnold tongues


How to Cite

SILVA, A. D., & RECH, P. C. (2017). CHAOS AND PERIODICITY IN A DISCRETE-TIME BAIER-SAHLE MODEL. Asian Journal of Mathematics and Computer Research, 15(2), 123–130. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/750

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