Marcelo Horta Messias on Muck Rack

Marcelo Horta Messias

As seen in: Dialnet - Universidad de La Rioja
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An Algebraic Criterion for the Determination of Non-chaotic Behavior in Three-Dimensional Polynomial Differential Systems

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By Rafael Silva, Marcelo Horta Messias, Paulino Silva
| Dialnet - Universidad de La Rioja
In this paper, we present a generalization of an algebraic criterion previously established in Messias, Silva, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 28, 1830006 (2018), aimed at establishing the non-chaotic behavior of three-dimensional polynomial differential systems. By employing tools from the Darboux Theory of Integrability, we develop sufficient conditions to guarantee that a given system does not exhibit chaotic dynamics.
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