Abstract:
We study local bifurcations of II-invariant limit cycles (of codimensions one and two) in families of vector fields in RnRn that admit an involutive symmetry I, where I2=id, the identity operator.
\Bibitem{Nik95}
\by E.~V.~Nikolaev
\paper Bifurcations of limit cycles of differential equations admitting an~involutive symmetry
\jour Sb. Math.
\yr 1995
\vol 186
\issue 4
\pages 611--627
\mathnet{http://mi.mathnet.ru/eng/sm33}
\crossref{https://doi.org/10.1070/SM1995v186n04ABEH000033}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1336941}
\zmath{https://zbmath.org/?q=an:0838.34045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ92200016}
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This publication is cited in the following 11 articles:
V. Sh. Roitenberg, “O nelokalnykh bifurkatsiyakh v dvukhparametricheskikh semeistvakh vektornykh polei na ploskosti s involyutivnoi simmetriei”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2024, no. 1, 51–63
Eoin Clerkin, Markus Rieken, IUTAM Bookseries, 34, IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics, 2019, 267
Evgeni V. Nikolaev, Eduardo D. Sontag, Kobi Benenson, “Quorum-Sensing Synchronization of Synthetic Toggle Switches: A Design Based on Monotone Dynamical Systems Theory”, PLoS Comput Biol, 12:4 (2016), e1004881
Svirina L.P., “Fazovaya neustoichivost v odnomodovom tverdotelnom lazere s anizotropnym rezonatorom”, Optika i spektroskopiya, 107:2 (2009), 207–212
Svirina L.P., “Phase Instability in a Single-Mode Anisotropic-Cavity Solid-State Laser”, Opt. Spectrosc., 107:2 (2009), 195–200
Svirina L.P., “Phase Instability in a Four-Frequency Anisotropic-Ring Cavity Gas Laser”, Quantum Electron., 38:1 (2008), 1–15
Svirina L.P., “Dynamics of a Single-Mode Anisotropic-Cavity Solid-State Laser - Art. No. 67252D”, ICONO 2007: Nonlinear Space-Time Dynamics, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 6725, eds. Kivshar Y., Rosanov N., SPIE-Int Soc Optical Engineering, 2007, 67252D, D7252
Svirina L., “Chaos Induced by Noise in a Four-Frequency Ring Gas Laser”, Opt. Spectrosc., 97:1 (2004), 155–160
Svirina L., “Spontaneous Phase Symmetry Breaking in a Four-Frequency Ring Gas Laser”, Opt. Spectrosc., 95:2 (2003), 311–317
Svirina L., “Symmetric Bifurcations and Phenomena of Polarization Symmetry Breaking in a Single-Mode Gas Laser”, Opt. Spectrosc., 89:1 (2000), 121–126
Borisyuk G., Borisyuk R., Khibnik A., Roose D., “Dynamics and Bifurcations of 2 Coupled Neural Oscillators with Different Connection Types”, Bull. Math. Biol., 57:6 (1995), 809–840
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