Analysis of period-doubling bifurcation in double-well stochastic Duffing system via Laguerre polynomial approximation

A nonlinear oscillator with a strange attractor

Philip Holmes · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1979 · 682 citations

Natural Sciences, Mathematics, Physics +17

An adaptive multi-element generalized polynomial chaos method for stochastic differential equations

Xiaoliang Wan, George Em Karniadakis · Journal of Computational Physics · 2005 · 571 citations

Natural Sciences, Computational Engineering, Mathematics +15

Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos

Dongbin Xiu, George Em Karniadakis · Computer Methods in Applied Mechanics and Engineering · 2002 · 537 citations

Engineering, Mathematics, Physics +14

A magnetoelastic strange attractor

Francis C. Moon, Philip Holmes · Journal of Sound and Vibration · 1979 · 535 citations

Natural Sciences, Mathematics, Physics +10

Uncertainty propagation using Wiener–Haar expansions

Olivier Le Maı̂tre, Omar M. Knio, Habib N. Najm et al. · Journal of Computational Physics · 2004 · 438 citations

Computing, Electrical Engineering, Stochastic Modeling +10