On the topological structure of singular attractors of nonlinear systems of differential equations

DOI10.1134/S0012266110110030zbMath1218.37031MaRDI QIDQ2429696

N. A. Magnitskiĭ

Publication date: 1 April 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

cyclesingular attractornonlinear dissipative systemsstable trajectorynonlinear conservative systemsheteroclinic separatrix

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Topological dynamics of nonautonomous systems (37B55)

Related Items (1)

Study of the passage from a dissipative to a conservative state in two-dimensional nonlinear systems of ordinary differential equations

Cites Work

• On possible scenarios of the transition to turbulence in Rayleigh-Bénard convection
• On the nature of dynamic chaos in a neighborhood of a separatrix of a conservative system
• The Topology of Chaos
• Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations
• Unnamed Item

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