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Magnitskii, N.A. (2008) Universal Theory of Dynamical Chaos in Nonlinear Dissipative Systems of Differential Equations. Communications in Nonlinear Science and Numerical Simulation, 13, 416-433.
http://dx.doi.org/10.1016/j.cnsns.2006.05.006

has been cited by the following article:

• TITLE: On Universality of Transition to Chaos Scenario in Nonlinear Systems of Ordinary Differential Equations of Shilnikov’s Type

  AUTHORS: Maria Zaitseva

  KEYWORDS: Nonlinear Differential Equations, Dynamical Chaos, Singular Attractor, FSM-Theory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.5, May 23, 2016

  ABSTRACT: Several nonlinear three-dimensional systems of ordinary differential equations are studied analytically and numerically in this paper in accordance with universal bifurcation theory of Feigenbaum-Sharkovskii-Magnitsky [1] [2]. All systems are autonomous and dissipative and display chaotic behaviour. The analysis confirms that transition to chaos in such systems is performed through cascades of bifurcations of regular attractors.