Stability Analysis and Bifurcation Control of a Delayed Incommensurate Fractional-Order Gene Regulatory Network
DOI10.1142/S0218127420500893zbMath1446.34101OpenAlexW3035286177MaRDI QIDQ5114607
Ting Dong, Hua O. Wang, Feng Liu, Zhi-Hong Guan
Publication date: 24 June 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420500893
time delayHopf bifurcationbifurcation controlgene regulatory networkincommensurate fractional-order system
Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Genetics and population dynamics (92D99) Functional-differential equations with fractional derivatives (34K37) Stationary solutions of functional-differential equations (34K21)
Related Items (4)
Cites Work
- Unnamed Item
- Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
- Hybrid control on bifurcation for a delayed fractional gene regulatory network
- Robust stability for discrete-time stochastic genetic regulatory networks
- On the existence of periodic solutions in time-invariant fractional order systems
- Bifurcation analysis and control of chaos for a hybrid ratio-dependent three species food chain
- Hopf bifurcation and spatial patterns of a delayed biological economic system with diffusion
- Hopf bifurcation for neutral-type neural network model with two delays
- Fractional-order PD control at Hopf bifurcations in delayed fractional-order small-world networks
- Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with distributed delays
- Fractional-order delayed predator-prey systems with Holling type-II functional response
- Antisynchronization of nonidentical fractional-order chaotic systems using active control
- Stability analysis of linear fractional differential system with multiple time delays
- Stability and bifurcation analysis of new coupled repressilators in genetic regulatory networks with delays
- A proof for non existence of periodic solutions in time invariant fractional order systems
- Modelling of the hamstring muscle group by use of fractional derivatives
- Impulsive control of bifurcations
- Local feedback stabilization and bifurcation control. I. Hopf bifurcation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Recent applications of fractional calculus to science and engineering
- Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
- Memory effect in a self-sustained birhythmic biological system
- Stability and bifurcation of delay-coupled genetic regulatory networks with hub structure
- Periodically intermittent control strategies for \(\alpha\)-exponential stabilization of fractional-order complex-valued delayed neural networks
- Fractional-order PWC systems without zero Lyapunov exponents
- Bifurcation control of a chaotic system
- Stability of delay induced oscillations in gene expression of Hes1 protein model
- Hopf bifurcation and chaos in fractional-order modified hybrid optical system
- Event-based cluster synchronization of coupled genetic regulatory networks
- Stability and Neimark-Sacker bifurcation analysis for a discrete single genetic negative feedback autoregulatory system with delay
- Influence of time delay and nonlinear diffusion on herbivore outbreak
- Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system
- Bifurcations and chaos of a discrete-time model in genetic regulatory networks
- Delay-induced bifurcation in a tri-neuron fractional neural network
- Stability and bifurcation of genetic regulatory networks with small RNAs and multiple delays
- Intercellular Delay Regulates the Collective Period of Repressively Coupled Gene Regulatory Oscillator Networks
- Dynamic Analysis of Fractional-Order Recurrent Neural Network with Caputo Derivative
- Complex dynamics in biological systems arising from multiple limit cycle bifurcation
- DELAY-INDEPENDENT STABILITY OF GENETIC REGULATORY NETWORKS WITH TIME DELAYS
- Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay
- HOPF BIFURCATION CONTROL USING NONLINEAR FEEDBACK WITH POLYNOMIAL FUNCTIONS
- CHAOS IN DIFFUSIONLESS LORENZ SYSTEM WITH A FRACTIONAL ORDER AND ITS CONTROL
- Finite-Time $H_{\infty}$ State Estimation for Discrete Time-Delayed Genetic Regulatory Networks Under Stochastic Communication Protocols
- Analyzing Oscillations for an $N$-node Recurrent Neural Networks Model With Time Delays and General Activation Functions
- Bifurcation Analysis of a Class of (n + 1)-Dimension Internet Congestion Control Systems
- Stability of genetic regulatory networks with time delay
- A model of periodic oscillation for genetic regulatory systems
- BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS
This page was built for publication: Stability Analysis and Bifurcation Control of a Delayed Incommensurate Fractional-Order Gene Regulatory Network