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- W2063245894 abstract "In the paper the topological structure of singular attractors of nonlinear dissipative systems of differential equations in the sense of FSM (Feigenbaum‐Sharkovskii‐Magnitskii)‐theory is investigated. It is shown, that any such attractor is a stable nonperiodic trajectory laying on two‐dimensional infinitely folded heteroclinic separatrix manifold generated by unstable two‐dimensional invariant manifold of initial singular cycle at change of values of bifurcation parameter of a system. The results obtained for two‐dimensional nonautonomous and three‐dimensional autonomous dissipative systems are transferred on autonomous many‐ and infinitely‐dimensional dissipative systems, and also on conservative and, in particular, Hamiltonian systems." @default.
- W2063245894 created "2016-06-24" @default.
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- W2063245894 date "2011-01-01" @default.
- W2063245894 modified "2023-09-24" @default.
- W2063245894 title "On Topology of Singular Attractors of Nonlinear Differential Equations" @default.
- W2063245894 hasPublicationYear "2011" @default.
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