Semi-global analysis of periodic and quasi-periodic normal-internalk: 1 andk: 2 resonances

DOI10.1088/0951-7715/23/9/009zbMath1207.34047OpenAlexW1965474051MaRDI QIDQ4930123

Florian O. O. Wagener, Khairul Saleh

Publication date: 28 September 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/9/009

zbMATH Keywords

bifurcationsresonancesquasi-periodic forcingnonlinear osillators

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (7)

Numerical semi-global analysis of a 1:2 resonant Hopf-Hopf bifurcation ⋮ Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling ⋮ Normal resonances in a double Hopf bifurcation ⋮ Persistence properties of normally hyperbolic Tori ⋮ On the quasi-periodic \(d\)-fold degenerate bifurcation ⋮ Remarks on interacting Neimark–Sacker bifurcations ⋮ A Degenerate 2:3 Resonant Hopf--Hopf Bifurcation as Organizing Center of the Dynamics: Numerical Semiglobal Results

Uses Software

• Mathematica

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