Symmetric and flat bifurcations: an oscillatory phenomenon

DOI10.1007/BF01177952zbMath0556.34039OpenAlexW1985489642MaRDI QIDQ761596

A. S. Atadan, Koncay Huseyin

Publication date: 1984

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01177952

zbMATH Keywords

limit cyclesHopf bifurcationexamplestate spacecomplex conjugate eigenvaluesintrinsic harmonic balancing techniquenon-linear autonomous lumped-parameter systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (1)

The simplest parametrized normal forms of Hopf and generalized Hopf bifurcations

Cites Work

• On the analysis of Hopf bifurcations
• Bifurcation formulas for O.D.E.'S in n
• Generalized Hopf bifurcation in Hilbert space
• On the Stability of Equilibrium Paths Associated With Autonomous Systems
• Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis
• Nonlinear Behavior of Flutter Unstable Dynamical Systems With Gyroscopic and Circulatory Forces
• A note on “a uniformly valid asymptotic solution for d2y/dt2 + y = a + εy2”

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