Bifurcation of an invariant torus of a system of differential equations in the degenerate case.
Usachev, Yu.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Usachev, Yu.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Begmatov, A.Kh. (2000)
Siberian Mathematical Journal
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Rudykh, G.A., Semenev, Eh.I. (2001)
Siberian Mathematical Journal
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Yarmukhamedov, Sharof (2002)
Sibirskij Matematicheskij Zhurnal
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Marco Riccardi (2009)
Formalized Mathematics
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In this article, the principal n-th root of a complex number is defined, the Vieta's formulas for polynomial equations of degree 2, 3 and 4 are formalized. The solution of quadratic equations, the Cardan's solution of cubic equations and the Descartes-Euler solution of quartic equations in terms of their complex coefficients are also presented [5].
Kuznetsov, D.S. (2001)
Sibirskij Matematicheskij Zhurnal
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Lavrent'ev , M.M., Spigler, R., Akhmetov, D.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Borovkov, A.A. (2000)
Siberian Mathematical Journal
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Kovač, Sanja, Pečarić, Josip (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Kuznetsov, V.V. (2000)
Siberian Mathematical Journal
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Ivanchov, N.I., Pabyrivska, N.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Zhen Wang, Wei Sun, Zhouchao Wei, Xiaojian Xi (2014)
Kybernetika
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Hopf bifurcation, dynamics at infinity and robust modified function projective synchronization (RMFPS) problem for Sprott E system with quadratic perturbation were studied in this paper. By using the method of projection for center manifold computation, the subcritical and the supercritical Hopf bifurcation were analyzed and obtained. Then, in accordance with the Poincare compactification of polynomial vector field in , the dynamical behaviors at infinity were described completely....