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Stochastic bifurcation in duffing system subject to harmonic excitation and in presence of random noise

  • Published:2004-11 Issue:9 Volume:39 Page:1473-1479
  • ISSN:0020-7462
  • Container-title:International Journal of Non-Linear Mechanics
  • language:en
  • Short-container-title:International Journal of Non-Linear Mechanics

Author:

Xu Wei,He Qun,Fang Tong,Rong Haiwu

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference14 articles.

1. Random Dynamical Systems;Arnold,1998

2. Asymptotic behavior of stochastic flows of diffeomorphisms;Baxendale,1986

3. Noise and bifurcation;Meunier;J. Stat. Phys.,1988

4. Additive noise destroys a pitchfork bifurcation;Crauel;J. Dyn. Differential Equations,1998

5. A theory of cell to cell mapping dynamical systems;Hsu;ASME J. Appl. Mech.,1980

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1. Influence of uncertainties and noise on basins/attractors topology and integrity of Duffing oscillator;International Journal of Non-Linear Mechanics;2024-03

2. Global Nonlinear Dynamics: Challenges in the Analysis and Safety of Deterministic or Stochastic Systems;CISM International Centre for Mechanical Sciences;2024

3. A time and ensemble equivalent linearization method for nonlinear systems under combined harmonic and random excitation;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2023-11-07

4. Bifurcation analysis in the system with the existence of three stable limit cycles;Indian Journal of Physics;2023-09-24

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