Bifurcations and chaos in Duffing equation

DOI10.1007/s10255-007-0404zbMath1136.65119OpenAlexW2047101900MaRDI QIDQ2480094

Yanyan Li

Publication date: 31 March 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-007-0404

zbMATH Keywords

numerical resultschaosbifurcationsDuffing equationaveraging methodMelnikov's methodinverse period-doubling bifurcationsperiod-3 orbitsymmetrybreaking

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Related Items (3)

Bifurcations and chaos in Duffing equation with damping and external excitations ⋮ Bifurcations and Chaos in the Duffing Equation with Parametric Excitation and Single External Forcing ⋮ Analysing periodicity, nonlinearity and transitional characteristics of nonlinear dynamic systems with periodicity ratio (PR)

Cites Work

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• Homoclinic motions and chaos in the quasiperiodically forced van der Pol-Duffing oscillator with single well potential
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