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On the Phase Portrait Phase Portrait of the System x˙=Ax+⟨a,x⟩x

  • Autores: Abdulla Azamov, Dilmurod Boytillaev
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 11, Nº 2, 2012, págs. 466-479
  • Idioma: inglés
  • Enlaces
  • Referencias bibliográficas
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    • Azamov A.A., Raad M.Yu.: On the stability and controllability of the system with quadratic nonlinearity of Hesse. Uzbek Math. J. 1, 21–26...
    • Azamov A.A., Abdurakhmanov B.A.: One property of almost periodic functions and its application to the stability theory. Uzbek Math. J. 1,...
    • Azamov A.A., Boytillaev D.A.: On the primary invariant partition of phase space of nonlinear autonomous systems. Dokl. Acad. Sci. Uzb. 2,...
    • Arnold V.I., Afraimovich V.S., Il’yashenko Yu.S., Shil’nikov L.P.: Theory of Bifurcations of Dynamical Systems. 5. Encyclopedia of Math. Sci.....
    • Boytillaev D.A.: On the saddle-node bifurcation in the system of Hesse. Uzbek Math. J. 1, 41–45 (2010)
    • Guchenheimer J., Holmes Ph.: Nonlinear oscillation, dynamical systems and bifurcations of vector fields. Springer: New York
    • Hartman Ph.: Ordinary differential equations. John Wiley and Sons, New York (1964)
    • Hassard B.D., Kazarinoff N.D., Wan Y.H.: Theory and applications of Hopf bifurcations. London Math. Soc. Lect. Notes, vol. 41. Cambridge University...
    • Shilnikov, L.P., Shilnikov, A.L., Turaev, D.V., Chua, L.O.: Methods of qualitative theory in nonlinear dynamics. World Scientific Series on...
    • Steeb W.-H.: Matrix calculus and Kronecker product with applications and C++ programs. World Scientific Publishing, Singapore (1997)

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