support from the NSFC(Grants No.11975189,No.11975190).
Machine learning provides a way to use only portions of the variables of a spatiotemporal system to predict its subsequent evolution and consequently avoids the curse of dimensionality.The learning machines employed f...
Supported by the Fundamental Research Funds for the Central University under Grant No.2017XKZD11
We extend two known dynamical systems obtained by Blaszak, et al. via choosing Casimir functions and utilizing Novikov-Lax equation so that a series of novel dynamical systems including generalized Burgers dynamical s...
Supported by National Natural Science Foundation of China under Grant Nos.11361017,11161013;Natural Science Foundation of Guangxi under Grant Nos.2012GXNSFAA053003,2013GXNSFAA019010;Program for Innovative Research Team of Guilin University of Electronic Technology
In this paper, we study peakon, cuspon, smooth soliton and periodic cusp wave of the generalized Schr6dinger-Boussinesq equations. Based on the method of dynamical systems, the generalized Schr6dinger-Boussinesq equat...
Supported by the National Natural Science Foundation of China under Grant No.10572021;the Preparatory Research Foundation of Jiangnan University under Grant No.2008LYY011
Noether symmetry of Nielsen equation and Noether conserved quantity deduced directly from Noether symmetry for dynamical systems of the relative motion are studied. The definition and criteria of Noether symmetry of a...
The purpose of the present paper is to study the entropy hs(Ф) of a quantum dynamical systems Ф = ( L, s, Ф), where s is a bayessian state on an orthomodular lattice L. Having introduced the notion of entropy h...
The project supported by National Natural Science Foundation of China under Grant No.60674040;National Natural Science Foundation for Distinguished Young Scholars under Grant No.60225015
This paper discusses the concept of controllable subspace for open quantum dynamical systems. It is constructively demonstrated that combining structural features of decoherence-free subspaces with the ability to perf...
In this paper the Lie symmetry and conserved quantities for nonholonomic Vacco dynamical systems are studied. The determining equation of the Lie symmetry for the system is given. The general Hojman conserved quantity...