Complex dynamics in Duffing system with two external forcings
From MaRDI portal
Publication:1771611
DOI10.1016/J.CHAOS.2004.02.022zbMath1077.34048OpenAlexW2062455217MaRDI QIDQ1771611
Publication date: 18 April 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.022
Forced motions for nonlinear problems in mechanics (70K40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items (17)
Bifurcations and chaos in Duffing equation with damping and external excitations ⋮ On Global Dynamics in Duffing Equation with Quasiperiodic Perturbation ⋮ Bifurcations and Chaos in the Duffing Equation with Parametric Excitation and Single External Forcing ⋮ Global Dynamics of Systems Close to Hamiltonian Ones Under Nonconservative Quasi-periodic Perturbation ⋮ Nonlinear dynamics analysis of a two-dimensional thin panel with an external forcing in incompressible subsonic flow ⋮ Homoclinic bifurcation and chaos control in MEMS resonators ⋮ Melnikov's criteria and chaos analysis in the nonlinear Schrödinger equation with Kerr law nonlinearity ⋮ Dynamical behaviors of the shock compacton in the nonlinearly Schrödinger equation with a source term ⋮ On Quasi-Periodic Parametric Perturbations of Hamiltonian Systems ⋮ Single-mode control and chaos of cantilever beam under primary and principal parametric excitations ⋮ Complex dynamics in three-well Duffing system with two external forcings ⋮ Vibration control of ultrasonic cutting via dynamic absorber ⋮ Bifurcations and chaos in Duffing equation ⋮ On methods for continuous systems with quadratic, cubic and quartic nonlinearities ⋮ A waveform similarity approach for diagnosing nonlinear behavior of vibratory systems ⋮ Chaos and control in coronary artery system ⋮ Complex dynamics in Duffing-Van der Pol equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order averaging and chaos in quasiperiodically forced weakly nonlinear oscillators
- Detection of bifurcation structures by higher-order averaging for Duffing's equation
- Long time data series and difficulties with the characterization of chaotic attractors: A case with intermittency III
- Quasi-periodic solutions and sub-harmonic bifurcation of Duffing's equations with quasi-periodic perturbation
- Degenerate resonances in forced oscillators
- Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits
- Second order averaging and bifurcations to subharmonics in duffing's equation
- Homoclinic motions and chaos in the quasiperiodically forced van der Pol-Duffing oscillator with single well potential
This page was built for publication: Complex dynamics in Duffing system with two external forcings
