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Nonparametric model reconstruction for stochastic differential equation from discretely observed time-series data
Nonparametric model reconstruction stochastic differential equation discretely observed time-series data
2011/8/2
Abstract: We develop a scheme for estimating state-dependent drift and diffusion coefficients in a stochastic differential equation from a time-series data. There is no need to have any prior knowledg...
Comment on“Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems”
Time-averaged properties chaotic orbits unstable periodic orbits
2010/4/7
The recent paper claims that mean characteristics of chaotic orbits differ from the corresponding values averaged over the set of unstable periodic orbits, embedded in the chaotic attractor. We demons...
On Direct Transformation Approach to Asymptotical
Analytical Solutions of Perturbed Partial Differential Equation
perturbed partial differential equation
asymptotical analytical solution Lie-Bä cklund symmetries
2007/8/15
2006Vol.46No.4pp.587-590DOI:
On Direct Transformation Approach to Asymptotical
Analytical Solutions of Perturbed Partial Differential Equation
LIU Hong-Zhun, PAN Zu-Liang, and LI ...
Extended Mapping Transformation Method and Its Applications to
Nonlinear Partial Differential Equation(s)
nonlinear partial differential equations extended mapping transformation method
exact solutions
2007/8/15
2005Vol.44No.3pp.473-478DOI:
Extended Mapping Transformation Method and Its Applications to
Nonlinear Partial Differential Equation(s)
ZHAO Hong and BAI Cheng-Lin
Physic...