Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion
作者： G. A. Leonov , N. V. Kuznetsov , T. N. Mokaev
DOI: 10.1140/EPJST/E2015-02470-3
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摘要: In this paper, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived from the well-known …
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Olga Ladyzhenskaya, Attractors for Semi-groups and Evolution Equations ,(1991)
Peter E. Kloeden, Martin Rasmussen, Nonautonomous Dynamical Systems ,(2011)
Gennady A. Leonov, Nikolay V. Kuznetsov, Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation NOSTRADAMUS. pp. 5- 13 ,(2013) , 10.1007/978-3-319-00542-3_3
David E. Stewart, A NEW ALGORITHM FOR THE SVD OF A LONG PRODUCT OF MATRICES AND THE STABILITY OF PRODUCTS ,(1997)
Peter Giesl, Construction of Global Lyapunov Functions Using Radial Basis Functions ,(2007)
G.A. Leonov, N.V. Kuznetsov, T.N. Mokaev, Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity Communications in Nonlinear Science and Numerical Simulation. ,vol. 28, pp. 166- 174 ,(2015) , 10.1016/J.CNSNS.2015.04.007
Nikolay Kuznetsov, Olga Kuznetsova, Gennady Leonov, Vladimir Vagaitsev, Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit Informatics in Control, Automation and Robotics. pp. 149- 158 ,(2013) , 10.1007/978-3-642-31353-0_11
Michael Eckert, Arnold Sommerfeld: Science, Life and Turbulent Times 1868-1951 ,(2013)
太郎 吉沢, Stability theory by Liapunov's second method Mathematical Society of Japan. ,(1966)
Vladimir A. Boichenko, Gennadij A. Leonov, Volker Reitmann, Dimension theory for ordinary differential equations Teubner. ,(2005) , 10.1007/978-3-322-80055-8