Results 141 to 150 of about 168,933 (177)

Local active memristive oscillator enables controllable complex behaviours and frequency domain extraction. [PDF]

Natl Sci Rev
Wang Y, Tiw PJ, Liu Y, Tao Y, Zhang T, Yang Y.   +5 more
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Turing-Hopf Bifurcation Analysis of the Sel'kov-Schnakenberg System

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2023
In this paper, we investigate the spatiotemporal dynamics of the Sel’kov–Schnakenberg system. The stability of the positive constant steady state is studied by the linear stability theory.
Yuying Liu, Xin Wei
semanticscholar   +1 more source

Turing-Hopf Bifurcation in Diffusive Gierer-Meinhardt Model

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2022
Gierer–Meinhardt system is a molecularly plausible model to describe pattern formation. When gene expression time delay is added, the behavior of the Gierer–Meinhardt model profoundly changes. In this paper, we study the delayed reaction–diffusion Gierer–
Rui Yang, Xiao-Qing Yu
semanticscholar   +1 more source

Turing-Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2022
In this paper, we consider a diffusive three-species food chain system with strong Allee effect subject to the Neumann boundary condition. The dynamics of the local system including stability of interior equilibria and Hopf bifurcation are discussed. For
Guangxun Sun, B. Dai, Lin Wang
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TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL

The Journal of Applied Analysis and Computation, 2019
The interactions of diffusion-driven Turing instability and delayinduced Hopf bifurcation always give rise to rich spatiotemporal dynamics. In this paper, we first derive the algorithm for the normal forms associated with the Turing-Hopf bifurcation in ...
Yongli Song, Heping Jiang, Yuan Yuan
semanticscholar   +1 more source

Delay‐included Turing‐Hopf bifurcation in the diffusive mussel‐algae model

Mathematical methods in the applied sciences, 2021
In this paper, the main content is the consideration of the dynamics of a diffusive mussel‐algae model with delay subject to Neumann boundary condition.
Heping Jiang
semanticscholar   +1 more source

Turing‐Hopf Bifurcation of a Diffusive Predator‐Prey System with Nonlocal Effect and Group Defense in Prey Against Generalist Predator

Social Science Research Network
In this paper, we propose a diffusive predator–prey system with nonlocal effect and group defense mechanisms in the prey against a generalist predator, subject to homogeneous Neumann boundary condition.
Yehu Lv
semanticscholar   +1 more source

Turing-Hopf Bifurcation Coinduced by Diffusion and Delay in Gierer-Meinhardt Systems

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
This paper investigates the impact of gene expression time delay and diffusion on the dynamic behavior of a class of Gierer–Meinhardt systems under Neumann boundary conditions.
Xiangyi Ma, Jinliang Wang, Yanhua Zhu, Ziwei Wang, Ying Sun   +4 more
semanticscholar   +1 more source

Temporal Forcing Induced Pattern Transitions Near the Turing-Hopf Bifurcation in a Plankton System

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2020
We explore the impact of time-periodic forcing on pattern transitions in a plankton system of reaction–diffusion type. Here, we mainly focus on the forced states near the Turing–Hopf bifurcation.
Wen Wang, Shutang Liu, Zhi-bin Liu, Da Wang   +3 more
semanticscholar   +1 more source

Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model.

Chaos, 2018
The predator-prey model with superdiffusion is investigated in this paper. Here, the existence of Turing-Hopf bifurcation and the resulting dynamics are studied.
Biao Liu, R. Wu, Liping Chen
semanticscholar   +1 more source