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Title of Journal: Acta Mech Sin

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Abbravation: Acta Mechanica Sinica

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Publisher

The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences

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DOI

10.1007/s00590-013-1230-1

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1614-3116

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A kind of noiseinduced transition to noisy chaos

Authors: ChunBiao Gan ShiXi Yang Hua Lei
Publish Date: 2012/09/16
Volume: 28, Issue: 5, Pages: 1416-1423
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Abstract

We investigate a kind of noiseinduced transition to noisy chaos in dynamical systems Due to similar phenomenological structures of stable hyperbolic attractors excited by various physical realizations from a given stationary random process a specific Poincaré map is established for stochastically perturbed quasiHamiltonian system Based on this kind of map various point sets in the Poincaré’s crosssection and dynamical transitions can be analyzed Results from the customary Duffing oscillator show that the point sets in the Poincaré’s global crosssection will be highly compressed in one direction and extend slowly along the deterministic perioddoubling bifurcation trail in another direction when the strength of the harmonic excitation is fixed while the strength of the stochastic excitation is slowly increased This kind of transition is called the noiseinduced pointoverspreading route to noisy chaos


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  1. Atomistic simulation of free transverse vibration of graphene, hexagonal SiC, and BN nanosheets
  2. Analysis of mode III crack perpendicular to the interface between two dissimilar strips
  3. Energetics and conserved quantity of an axially moving string undergoing three-dimensional nonlinear vibration
  4. Steady thermocapillary-buoyant convection in a shallow annular pool. Part 1: Single layer fluid
  5. The wave and vibratory power transmission in a finite L-shaped Mindlin plate with two simply supported opposite edges
  6. The study on the mechanical characteristics of articular cartilage in simulated microgravity
  7. Stresses due to an adhesion crack in T-shaped junction of two orthotropic plates
  8. Indentation of elastically soft and plastically compressible solids
  9. Cell size effects for vibration analysis and design of sandwich beams
  10. Nanoparticle nucleation and coagulation in a mixing layer
  11. A conformal invariance for generalized Birkhoff equations
  12. A consistent projection-based SUPG/PSPG XFEM for incompressible two-phase flows
  13. Vertex solution theorem for the upper and lower bounds on the dynamic response of structures with uncertain-but-bounded parameters
  14. Bi-variable damage model for fatigue life prediction of metal components
  15. Investigation of scale effect for the computation of turbulent flow around a circular cylinder
  16. Study on relative orbital configuration in satellite formation flying
  17. Steady-state responses of a belt-drive dynamical system under dual excitations
  18. Investigation on 3D t wake flow structures of swimming bionic fish
  19. Magnetohydrodynamics instability of interfacial waves between two immiscible incompressible cylindrical fluids
  20. Analytical and numerical studies on a single-droplet evaporation and combustion under forced convection
  21. Effects of fluid recirculation on mass transfer from the arterial surface to flowing blood
  22. LES prediction of space-time correlations in turbulent shear flows
  23. Attitude dynamics of a cylinder floating in immiscible fluids
  24. Damping computation of liquid sloshing with small amplitude in rigid container using FEM
  25. Effect of quadratic pressure gradient term on a one-dimensional moving boundary problem based on modified Darcy’s law

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