Features of Bifurcations of Periodic Solutions of the Ikeda Equation

DOI10.20537/nd180302zbMath1418.37083OpenAlexW2896312283WikidataQ129056469 ScholiaQ129056469MaRDI QIDQ5230236

Alena R. Moriakova, E. P. Kubyshkin

Publication date: 21 August 2019

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd614

zbMATH Keywords

periodic solutionsIkeda equationbifurcation of multistabilitychaotic multistability

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (4)

Bifurcations of self-oscillatory solutions to a nonlinear parabolic equation with a rotating spatial argument and time delay ⋮ Unnamed Item ⋮ Analysis of Special Cases in the Study of Bifurcations of Periodic Solutions of the Ikeda Equation ⋮ Modeling of Dynamic Systems with Interval Parameters in the Presence of Singularities

Cites Work

• High-dimensional chaotic behavior in systems with time-delayed feedback
• Differential-difference equations
• On the vibration theory of quasilinear systems with lag
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