Dynamics analysis and numerical simulations of a stochastic non-autonomous predator–prey system with impulsive effects

Specific emitter identification (SEI) is a promising technology to discriminate the individual emitter and enhance the security of various wireless communication systems. SEI is generally based on radio frequency fingerprinting (RFF) originated from the imperfection of emitter’s hardware, which is difficult to forge. SEI is generally modeled as a classification task and deep learning (DL), which exhibits powerful classification capability, has been introduced into SEI for better identification performance. In the recent years, a novel DL model, named as complex-valued neural network (CVNN), has been applied into SEI methods for directly processing complex baseband signal and improving identification performance, but it also brings high model complexity and large model size, which is not conducive to the deployment of SEI, especially in Internet-of-things (IoT) scenarios. Thus, we propose an efficient SEI method based on CVNN and network compression, and the former is for performance improvement, while the latter is to reduce model complexity and size with ensuring satisfactory identification performance. Simulation results demonstrated that our proposed CVNN-based SEI method is superior to the existing DL-based methods in both identification performance and convergence speed, and the identification accuracy of CVNN can reach up to nearly 100% at high signal-to-noise ratios (SNRs). In addition, SlimCVNN just has 10% $\sim 30$ % model sizes of the basic CVNN, and its computing complexity has different degrees of decline at different SNRs; there is almost no performance gap between SlimCVNN and CVNN. These results demonstrated the feasibility and potential of CVNN and model compression.

An Efficient Specific Emitter Identification Method Based on Complex-Valued Neural Networks and Network Compression

On the euler's constant

Large-scale real-world radio signal recognition with deep learning

The purpose of this paper is to consider the effective dynamic behavior of a class of stochastic weakly damped wave equations with a fast oscillation under the non-Lipschitz condition. We show that the slow component converges to the solution of the corresponding average equation. The result presented here extends the existing results from the Lipschitz to non-Lipschitz condition, which is a much weaker condition with a wider range of applications.

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0137730/17642697/051509_1_5.0137730.pdf

Effective dynamics for a class of stochastic weakly damped wave equation with a fast oscillation

In this paper, we study the p(x)$p(x)$ ‐curl problem of the type: ∇×(|∇×u|p(x)−2∇×u)+a(x)|u|p(x)−2u=λf(x,u),inΩ,∇·u=0,inΩ,|∇×u|p(x)−2∇×u×n=0,u·n=0,on∂Ω,\begin{equation*} \hspace*{13pc}{\left\lbrace \def\eqcellsep{&}\begin{array}{ll}\nabla \times \big (|\nabla \times \mathbf {u} |^{p(x)-2}\nabla \times \mathbf {u}\big )+a(x)|\mathbf {u}|^{p(x)-2}\mathbf {u} =\lambda \mathbf {f}(x,\mathbf {u}), &{\rm in}\; \Omega , \\ [0.1cm] \nabla \cdot \mathbf {u}=0,\;&{\rm in}\; \Omega , \\ [0.1cm] |\nabla \times \mathbf {u}|^{p(x)-2}\nabla \times \mathbf {u} \times \mathbf {n}=0,\mathbf {u}\cdot \mathbf {n}=0, \; &\text{on} \; \partial \Omega , \end{array} \right.} \end{equation*}where Ω⊂R3$\Omega \subset \mathbb {R}^{3}$ is a bounded simply connected domain with a C1, 1 boundary denoted by ∂Ω$\partial \Omega$ , λ>0$\lambda >0$ , p(x):Ω¯→(1,+∞)$p(x):\overline{\Omega }\rightarrow (1,+\infty )$ is a continuous function, a(x)∈L∞(Ω)$a(x)\in L^{\infty }(\Omega )$ , and f:Ω¯×R3→R3$\mathbf {f}:\overline{\Omega }\times \mathbb {R}^{3}\rightarrow \mathbb {R}^{3}$ is a Carathéodory function. We obtain the existence and multiplicity of solutions for a class of p(x)$p(x)$ ‐curl systems in the absence of Ambrosetti–Rabinowitz condition under superlinear case. Besides, we also obtain infinitely many solutions under sublinear case.

Multiple solutions for p(x)${p(x)}$ ‐curl systems with nonlinear boundary condition

We consider the generalized quasilinear Schrodinger equations (P) −div(g2(u)∇u)+g(u)g′(u)|∇u|2+V(x)u=λf(x,u),x∈RN, where N≥3, g:R→R+ is an even differentiable function, f:RN×R→R satisfies the Carat...

Existence and multiplicity of solutions for generalized quasilinear Schrödinger equations

In this paper, we consider a kind of nonlinear eigenvalue problem involving the fractional Laplacian without Ambrosetti–Rabinowitz condition, that is, $$\begin{aligned} \left\{ \begin{array}{ll} (-\varDelta )^\alpha u= \lambda f(x,u),\;{\mathrm{a.e.}}\;\;\mathrm{in}\; ~\varOmega , &{}\\ u=0,\;{\mathrm{on}} ~\partial \varOmega ,&{} \\ \end{array} \right. \end{aligned}$$
 where $$\varOmega \subset {\mathbb R^{N}}$$
 is a bounded smooth domain, $$\alpha \in (0,1)$$
 , $$(-\varDelta )^\alpha $$
 stands for the fractional Laplacian, $$\lambda > 0$$
 is a parameter, and f(x, u) is superlinear at infinity. Existence of nontrivial solutions is established for arbitrary $$\lambda >0$$
 .

On the superlinear problems involving the fractional Laplacian

This paper, following the theory of partial differential equations on the Orlicz–Sobolev spaces, is mainly concerned with the nonhomogeneous eigenvalue problem involving variable growth conditions ...

Bin Ge

Papers

Effective dynamics for a class of stochastic weakly damped wave equation with a fast oscillation

Multiple solutions for p(x)${p(x)}$ ‐curl systems with nonlinear boundary condition

Existence and multiplicity of solutions for generalized quasilinear Schrödinger equations

On the superlinear problems involving the fractional Laplacian

Nonhomogeneous eigenvalue problem with indefinite weight