A5036823181- stochastic dynamics and bifurcation
- Neural Networks Stability and Synchronization
- Neural dynamics and brain function
- Nonlinear Dynamics and Pattern Formation
- Vibration Control and Rheological Fluids
- Vibration and Dynamic Analysis
- Acoustic Wave Phenomena Research
- Chaos control and synchronization
- Metamaterials and Metasurfaces Applications
- Thermoelastic and Magnetoelastic Phenomena
- Vehicle Noise and Vibration Control
- Advanced Memory and Neural Computing
- Mathematical and Theoretical Epidemiology and Ecology Models
- Aerodynamics and Fluid Dynamics Research
- Railway Engineering and Dynamics
- Advanced Thermodynamics and Statistical Mechanics
- Microwave Engineering and Waveguides
- Evolution and Genetic Dynamics
- Composite Structure Analysis and Optimization
- Noise Effects and Management
- Brake Systems and Friction Analysis
- Electromagnetic Scattering and Analysis
- Fractional Differential Equations Solutions
- Turbomachinery Performance and Optimization
- Refrigeration and Air Conditioning Technologies
Hohai University
2012-2024
University of California, Berkeley
2018
Nanjing University of Aeronautics and Astronautics
2008-2016
Dalian University of Technology
2012
Coupled neuronal networks have received considerable attention due to their important and extensive applications in science engineering. This paper focuses on the nonlinear dynamics of delay-coupled bidirectional FitzHugh–Nagumo (FHN) through theoretical analysis, numerical computations, circuit simulations. A variety interesting dynamical behaviors network are explored, such as coexistence nontrivial equilibria periodic solutions, different patterns coexisting attractors, even chaotic...
This paper reveals the dynamics of a delayed neural network four neurons, with short-cut connection through theoretical analysis and some case studies both numerical simulations experiments. It presents detailed stability switches equilibrium, as well Hopf bifurcation bifurcating periodic responses on basis normal form center manifold reduction. Afterwards, study focuses validation results circuit The experiments not only show good agreement results, but also abundant effects dynamics.
This paper reveals the dynamical behaviors of a bidirectional neural network consisting four neurons with delayed nearest-neighbor and shortcut connections. The criterion global asymptotic stability trivial equilibrium is derived by means suitable Lyapunov functional. local investigated analyzing distributions roots associated characteristic equation. sufficient conditions for existence nontrivial synchronous asynchronous equilibria periodic oscillations arising from codimension one...
This paper studies the dynamical behaviors of a pair FitzHugh-Nagumo neural networks with bidirectional delayed couplings. It presents detailed analysis delay-independent and delay-dependent stabilities existence bifurcated oscillations. Illustrative examples are performed to validate analytical results discover interesting phenomena. is shown that network exhibits variety complicated activities, such as multiple stability switches, coexistence periodic quasi-periodic oscillations, chaotic...
This paper focuses on the dynamic behaviors of delay-coupled networks consisting an arbitrary number nonidentical neurons with unidirectional connections and electrical synapse from one neuron onto itself. The stability criteria different types bifurcations are discussed by decomposing analyzing associated characteristic equation. Then, study turns to validation theoretical results through numerical simulations various interesting neural activities observed, such as nontrivial equilibria,...
This paper reveals the dynamical properties of two interacting neural networks with multiple couplings. Different time delays are introduced into nearest-neighbor links and long-range connections in each layer couplings between different substructures. The delay-dependent delay-independent stability oscillations bifurcated from trivial equilibrium network analyzed. conditions existence nontrivial equilibria pitchfork bifurcation discussed. Numerical simulations performed to validate...
This paper studies the dynamics of a nonlinear network with many interacting neural populations and time-delayed couplings under electromagnetic radiation. The influence radiation is described by using flux-controlled memristor. delay-induced instability bifurcated periodic oscillations memristive multiplex are determined decomposing analyzing characteristic equations. bifurcation diagrams shown complicated dynamical behaviors explored, such as multi-periodic orbits period doubling...
Article Dynamics of a Delayed Four-Neuron Network with Short-Cut Connection— Analytical, Numerical and Experimental Studies was published on April 1, 2009 in the journal International Journal Nonlinear Sciences Simulation (volume 10, issue 4).