A5061853963- Nonlinear Dynamics and Pattern Formation
- Chaos control and synchronization
- stochastic dynamics and bifurcation
- Neural Networks Stability and Synchronization
- Nonlinear Differential Equations Analysis
- Mathematical and Theoretical Epidemiology and Ecology Models
- Differential Equations and Numerical Methods
- Fractional Differential Equations Solutions
- Quantum chaos and dynamical systems
- Nonlinear Photonic Systems
- Nonlinear Waves and Solitons
- Economic theories and models
- Complex Systems and Time Series Analysis
- Gene Regulatory Network Analysis
- Numerical methods for differential equations
- Theoretical and Computational Physics
- Stochastic processes and statistical mechanics
- Advanced Thermodynamics and Statistical Mechanics
- Differential Equations and Boundary Problems
- Opinion Dynamics and Social Influence
- Algebraic structures and combinatorial models
- Neural Networks and Applications
- Neural dynamics and brain function
- Stability and Controllability of Differential Equations
- Traffic control and management
Beijing Jiaotong University
2010-2024
Beijing Normal University
2001-2002
Beijing Institute of Technology
1999-2001
Abstract The (1+1)-dimensional bilinear Hietarinta equation was firstly proposed when searching for integrable nonlinear evolution equations by the three-soliton method. In this paper, we focus on (2+1)-dimensional extension of equation, which enjoys potential application in environmental engineering. Based form, one-soliotn and two-soliton solutions are derived. Bilinear Bäcklund transformation Bell-polynomial-typed derived through Hirota method Bell polynomials, respectively....
In this paper, the nonautonomous Lenells-Fokas (LF) model is studied with bilinear method and symbolic computation. Such analytical solutions of LF as one-soliton, two-soliton, earthwormons are derived. Nonautonomous characteristics then symbolically graphically investigated, it finally found that soliton velocity time-dependent, there exist accelerating decelerating motions. Further, two necessary conditions for occurrence earthwormon acceleration deceleration (and their alternation) pointed out.
A new network of coupled maps is proposed in which the connections between units involve no delays but intra-neural communication does, whereas work Atay et al. [Phys. Rev. Lett. 92, 144101 (2004)], focus on information processing delayed by inter-neural communication. We show that synchronization depends not only intrinsic dynamical features and inter-connection topology (characterized spectrum graph Laplacian) also coupling strength. There are two main findings: (i) more neighbours, easier...
A detailed analysis of zero distributions in a special polynomial the form λτ(λ−a1)(λ−a2)⋯(λ−an)−(c+id) is proposed, where all ai(i=1,2,…,) have same sign. As its applications, new criteria for asymptotic behavior nonlinear delayed coupled systems with different topological structures are established. All possible bifurcations, including codimension-two bifurcations 1:4/1:3 strong resonance such difference system, discussed. Numerical simulation gives solid verification theoretical analysis.