A5101899600- Nonlinear Differential Equations Analysis
- Differential Equations and Numerical Methods
- Mathematical and Theoretical Epidemiology and Ecology Models
- Nonlinear Partial Differential Equations
- Stability and Controllability of Differential Equations
- Fractional Differential Equations Solutions
- Nonlinear Dynamics and Pattern Formation
- Differential Equations and Boundary Problems
- Advanced Differential Equations and Dynamical Systems
- Fixed Point Theorems Analysis
- stochastic dynamics and bifurcation
- Numerical methods for differential equations
- Advanced Mathematical Physics Problems
- Advanced Mathematical Modeling in Engineering
- Neural Networks Stability and Synchronization
- Spectral Theory in Mathematical Physics
- Advanced Computational Techniques and Applications
- Power Quality and Harmonics
- Data Management and Algorithms
- Aerodynamics and Fluid Dynamics Research
- Computational Geometry and Mesh Generation
- Antimicrobial agents and applications
- Engineering Applied Research
- Advanced Data Processing Techniques
- Evolution and Genetic Dynamics
Central South University
2011-2024
Zhejiang Sci-Tech University
2024
Ministry of Transport
2022
University of South China
2017
Hunan Normal University
2017
Zhejiang A & F University
2007-2014
Zhejiang Academy of Forestry
2007
Hunan University
2002
Beijing Institute of Technology
1999
Abstract In this paper, we study the chaotic dynamics of a Variable-Order Fractional Financial System (VOFFS). The Derivative (VOFD) is defined in Caputo type. A necessary condition for occurrence chaos VOFFS obtained. Numerical experiments on with various conditions are given. Based them, it shown that has complex dynamical behavior, and depends choice order function. Furthermore, synchronization studied via active control method. simulations demonstrate method effective simple...
In this paper, we investigate the dynamics of a discrete-time predator-prey system Holling-III type in closed first quadrant . Firstly, existence and stability fixed points is discussed. Secondly, it shown that undergoes flip bifurcation Neimark-Sacker interior by using theory. Finally, numerical simulations including diagrams, phase portraits, maximum Lyapunov exponents are presented not only to explain our results with theoretical analysis, but also exhibit complex dynamical behaviors,...
In this paper, we deal with the existence of infinitely many homoclinic solutions for a class second-order Hamiltonian systems. By using dual fountain theorem, give some new criteria to guarantee that systems have solutions. Some recent results are generalised and significantly improved. MSC:34B08, 34B15, 34B37, 58E30.
1 : 3 resonance of a two-dimensional discrete Hindmarsh-Rose model is discussed by normal form method and bifurcation theory. Numerical simulations are presented to illustrate the theoretical analysis, which predict occurrence closed invariant circle, period-three saddle cycle, homoclinic structure. Furthermore, it also displays complex dynamical behaviors, especially transitions between three main namely, quiescence, spiking, bursting.
In the current paper, numerical solutions for a class of fractional advection–diffusion equations with kind new generalized time-fractional derivative proposed last year are discussed in bounded domain. The is defined Caputo type. obtained by using finite difference method. stability scheme also investigated. Numerical examples solved different orders and step sizes, which illustrate that stable, simple effective solving equations. order convergence evaluated numerically, first-order rate...