Numerical semi-global analysis of a 1:2 resonant Hopf-Hopf bifurcation
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Publication:1948096
DOI10.1016/j.physd.2012.12.007zbMath1338.37062OpenAlexW2020457675MaRDI QIDQ1948096
G. Revel, D. M. Alonso, Jorge L. Moiola
Publication date: 30 April 2013
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2012.12.007
Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Simulation of dynamical systems (37M05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Resonance phenomena for ordinary differential equations involving randomness (34F15)
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Cites Work
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- Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
- Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble'
- Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities
- New nonlinear mechanisms of midlatitude atmospheric low-frequency variability
- Resonant Hopf-Hopf interactions in delay differential equations
- Normal form for generalized Hopf bifurcation with non-semisimple 1:1 resonance
- Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
- Multiple timescales analysis for 1:2 and 1:3 resonant Hopf bifurcations
- Classification and unfoldings of \(1:2\) resonant Hopf bifurcation
- Multiple scales analysis for double Hopf bifurcation with 1:3~resonance
- Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
- Double Hopf bifurcation analysis using frequency domain methods
- Hopf bifurcation with non-semisimple 1:1 resonance
- A GALLERY OF OSCILLATIONS IN A RESONANT ELECTRIC CIRCUIT: HOPF-HOPF AND FOLD-FLIP INTERACTIONS
- Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms
- Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations
- The double Hopf bifurcation with 2:1 resonance
- The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
- NORMAL FORMS AND LORENZ ATTRACTORS
- Semi-global analysis of periodic and quasi-periodic normal-internalk: 1 andk: 2 resonances
- Elements of applied bifurcation theory
