A normal form analysis in a finite neighborhood of a Hopf bifurcation: on the center manifold dimension

DOI10.1007/s11071-017-3958-3zbMath1390.37081OpenAlexW2772817691MaRDI QIDQ1649933

M. Eugeni, D. Dessi, F. Mastroddi

Publication date: 29 June 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11573/1028702

zbMATH Keywords

nonlinear systemsHopf bifurcationnormal formsmall divisors

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10)

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Cites Work

• Unnamed Item
• An Upper bound for validity limits of asymptotic analytical approaches based on normal form theory
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bending aeroelastic instability of the structure of suspended cable-stayed beam
• Singularities of vector fields
• LIMIT-CYCLE STABILITY REVERSAL NEAR A HOPF BIFURCATION WITH AEROELASTIC APPLICATIONS
• Stability Analysis of Nonlinear Differential Autonomous Systems with Applications to Flutter

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