Resonance and fractal geometry
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Publication:384064
DOI10.1007/s10440-012-9670-xzbMath1356.70028OpenAlexW2089614341MaRDI QIDQ384064
Publication date: 25 November 2013
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-012-9670-x
Cantor setresonancecovering spacefractal geometrysubharmonic bifurcationdevil's staircaseLyapunov diagramresonance tongue
Bifurcation theory for ordinary differential equations (34C23) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractals (28A80) Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30)
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Torus bifurcations in a mechanical system ⋮ Bifurcations in Forced Response Curves ⋮ Synchronization analysis of coupled Lienard-type oscillators by averaging ⋮ Appearance of new parametric resonances in time-dependent harmonic oscillator ⋮ A perturbative algorithm for quasi-periodic linear systems close to constant coefficients ⋮ Bifurcations of quasi-periodic dynamics: torus breakdown ⋮ Resonance and Singularities
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