A5065575398- Quantum chaos and dynamical systems
- Advanced SAR Imaging Techniques
- Radar Systems and Signal Processing
- Geometric Analysis and Curvature Flows
- Synthetic Aperture Radar (SAR) Applications and Techniques
- Nonlinear Partial Differential Equations
- Markov Chains and Monte Carlo Methods
- Advanced Mathematical Modeling in Engineering
- Advanced Differential Equations and Dynamical Systems
- Control and Stability of Dynamical Systems
- Stochastic processes and financial applications
- Mathematical Dynamics and Fractals
- Nonlinear Waves and Solitons
- Spectral Theory in Mathematical Physics
- Optimization and Variational Analysis
- Mathematical Biology Tumor Growth
- Infrared Target Detection Methodologies
- Numerical methods for differential equations
- Stability and Controllability of Differential Equations
- Geophysical Methods and Applications
- Differential Equations and Numerical Methods
- Microwave Imaging and Scattering Analysis
- Stochastic processes and statistical mechanics
- Contact Mechanics and Variational Inequalities
- Mathematical and Theoretical Epidemiology and Ecology Models
Shanghai Jiao Tong University
2016-2025
Hubei University of Education
2022
University of Rome Tor Vergata
2019
Jilin University
2008-2013
Fudan University
2011-2013
Jilin Medical University
2011
Polarimetric synthetic aperture radar (PolSAR) image classification, an important technique in the remote sensing area, has been deeply studied for a couple of decades. In order to develop robust automatic or semiautomatic classification system PolSAR images, two problems should be addressed: 1) incorporation spatial relations between pixels; 2) estimation number classes image. Therefore, this paper, we present novel superpixel-based framework with adaptive images. The approach is mainly...
We establish an implicit variational principle for the contact Hamiltonian systems generated by H(x, u, p) with respect to 1-form under Tonelli and Lipschitz continuity conditions.
We consider the evolutionary Hamilton-Jacobi equation \begin{align*} w_t(x,t)+H(x,Dw(x,t),w(x,t))=0, \quad(x,t)\in M\times [0,+\infty), \end{align*} where $M$ is a compact manifold, $H:T^*M\times R\to R$, $H=H(x,p,u)$ satisfies Tonelli conditions in $p$ and Lipschitz condition $u$. This work mainly concerns with Lyapunov stability (including asymptotic stability, instability) uniqueness of stationary viscosity solutions equation. A criterion for instability are given. do not utilize...
Multichannel synthetic aperture radar systems in azimuth can effectively suppress ambiguity and are promising high-resolution wide-swath imaging. However, unavoidable channel errors will significantly degrade the performance of suppression. Conventional subspace calibration methods usually estimate phase error via decomposing a Doppler-variant covariance matrix from one Doppler bin, then average these estimated several bins to improve estimation accuracy, which result large computational...
An X-band Synthetic Aperture Radar (SAR), the mini-SAR, mounted on an eight-rotor Unmanned Aerial Vehicle (UAV), has been designed, built and tested at Shanghai Jiao Tong University, China. The main purpose of this work is to design a light-weight, cost-effective easy-handy miniaturize SAR system with ability make repeated flights for extended study. Real-time collected data can effectively test validity newly proposed image algorithm. apply in modeling calculating scattering characteristics...
We study the nonhomogeneous Dirichlet problem for first-order Hamilton--Jacobi equations associated with Tonelli Hamiltonians on a bounded domain $\Omega$ of $\mathbb{R}^n$ assuming energy level to be supercritical. First, we show that viscosity (weak KAM) solution such is Lipschitz continuous and locally semiconcave in $\Omega$. Then, analyze singular set showing singularities propagate along suitable curves, so-called generalized characteristics, curves stay unless they reach boundary...
Abstract We study the asymptotic behavior of solutions to constrained MFG system as time horizon T goes infinity. For this purpose, we analyze first Hamilton–Jacobi equations with state constraints from viewpoint weak KAM theory, constructing a Mather measure for associated variational problem. Using these results, show that solution ergodic mean field games exists and constant is unique. Finally, prove any first-order problem on [0, ] converges
Abstract This paper contributes several results on weak KAM theory for time-periodic Tonelli Lagrangian systems. Wang and Yan [Commun. Math. Phys. 309 (2012), 663-691] introduced a new kind of Lax-Oleinik type operator associated with any Lagrangian. Firstly, using the we give an equivalent definition backward solution. Then prove result asymptotic behavior operators arbitrary continuous function as initial condition, by taking advantage mentioned above. Finally, specific class Lagrangians,...
In this paper the problem of waveform design using Fractional Fourier Transform (FRFT) in signal-dependent interference, as well additive channel noise for stochastic extended target is investigated. Within constraints on energy and duration, optimum fractional domain based signal to interference plus ratio (SINR) criterion modeled. Simulations conducted illustrate that by changing angle variable, optimal designed can be distributed some narrow bands where power large small. addition, proved...