Bifurcations associated with a double zero of index two and a pair of purely imaginary eigenvalues

DOI10.1080/00207728808967583zbMath0683.58039OpenAlexW1984770933MaRDI QIDQ4733153

Koncay Huseyin, Pei Yu

Publication date: 1988

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728808967583

zbMATH Keywords

bifurcationcritical pointimaginary eigenvalueselectrical network theorynon-linear autonomous system

Mathematics Subject Classification ID

Circuits, networks (94C99) Ergodic theorems, spectral theory, Markov operators (37A30) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Red queen dynamics in specific predator-prey systems ⋮ Asymptotic decay of solutions to an essentially nonlinear system with two-frequency resonances

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Sequence of bifurcations in a three-dimensional system near a critical point
• On the analysis of Hopf bifurcations
• Normal forms for certain singularities of vectorfields
• Periodic and Steady-State Mode Interactions Lead to Tori
• An intrinsic method of harmonic analysis for non-linear oscillations (a perturbation technique)
• Static and dynamic bifurcations associated with a double-zero eigenvalue

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