On generation of a limit cycle from a separatrix loop of a sewn saddle-node

DOI10.18500/1816-9791-2022-22-2-159-168zbMath1496.34066OpenAlexW4293061957MaRDI QIDQ5086547

V. Sh. Roitenberg

Publication date: 5 July 2022

Published in: Izvestiya of Saratov University. Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu930

zbMATH Keywords

bifurcationlimit cyclephase planecontinuous piecewise smooth dynamical systemsewn saddle-node

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

• Generic bifurcations of low codimension of planar Filippov systems
• Piecewise-smooth dynamical systems. Theory and applications
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