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Rational integrability of a nonlinear finance system

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  • Valls, Claudia

Abstract

In this work we study the complexity of the dynamical financial model recently reported in the literaturex˙=z+(y-a)x,y˙=1-by-x2,z˙=-x-cz,by studying its integrability. In particular, we prove that it is not Darbouxian integrable for any value of a, b, c.

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  • Valls, Claudia, 2012. "Rational integrability of a nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 141-146.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:2:p:141-146
    DOI: 10.1016/j.chaos.2011.11.003
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    5. Chian, Abraham C.-L. & Rempel, Erico L. & Rogers, Colin, 2006. "Complex economic dynamics: Chaotic saddle, crisis and intermittency," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1194-1218.
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    3. Sun, Xuelian & Liu, Zixian, 2016. "Optimal portfolio strategy with cross-correlation matrix composed by DCCA coefficients: Evidence from the Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 667-679.

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