One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation

Random attractors for stochastic reaction–diffusion equations on unbounded domains

Peter W. Bates, Kening Lu, Bixiang Wang · Journal of Differential Equations · 2008 · 373 citations

Engineering, Stochastic Processes, Stochastic Calculus +4

Invariant manifolds for stochastic partial differential equations

Jinqiao Duan, Kening Lu, Björn Schmalfuß · The Annals of Probability · 2003 · 284 citations · Full text

Deterministic Dynamical System, Engineering, Discrete Dynamical System +10

Orbits homoclinic to resonances, with an application to chaos in a model of the forced and damped sine-Gordon equation

Gregor Kovačič, Stephen Wiggins · Physica D Nonlinear Phenomena · 1992 · 209 citations

Sine-gordon Equation, Bifurcation Theory, Nonlinear Resonance +2

Dynamics of the Josephson junction

Mark Levi, Frank C. Hoppensteadt, W. L. Miranker · Quarterly of Applied Mathematics · 1978 · 158 citations · Full text

Periodic Solutions, Josephson Junctions, Electrical Engineering +10

Smooth invariant foliations in infinite dimensional spaces

Shui-Nee Chow, Xiao-Biao Lin, Kening Lu · Journal of Differential Equations · 1991 · 125 citations

Infinite Dimensional Analysis, Global Analysis, Riemannian Manifold +1