Author
Junjie Wei
Other affiliations: Foshan University, Jimei University, Northeast Normal University
Bio: Junjie Wei is an academic researcher from Harbin Institute of Technology. The author has contributed to research in topics: Hopf bifurcation & Center manifold. The author has an hindex of 23, co-authored 76 publications receiving 3358 citations. Previous affiliations of Junjie Wei include Foshan University & Jimei University.
Papers published on a yearly basis
Papers
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01 Dec 2003
TL;DR: In this paper, a decomposition technique was developed to investigate the stability of some exponential polynomials, that is, to find conditions under which all zeros have negative real parts.
Abstract: In this paper, we first establish a basic theorem on the zeros of general transcendental functions. Based on the basic theorem, we develop a decomposition technique to investigate the stability of some exponential polynomials, that is, to find conditions under which all zeros of the exponential polynomials have negative real parts. The technique combines the D-decomposition and τ -decomposition methods so that it can be used to study differential equations with multiple delays. As an application, we study the stability and bifurcation of a scalar equation with two delays modeling compound optical resonators.
715 citations
TL;DR: In this article, the existence of multiple spatially non-homogeneous periodic orbits while the system parameters are all spatially homogeneous is investigated. But the results are limited to the case where the system is a diffusive predator-prey system with Holling type-II predator functional response subject to Neumann boundary conditions.
425 citations
TL;DR: In this article, a simple neural network model with two delays is considered, and the Hopf bifurcation occurs when the sum of the two delays varies and passes a sequence of critical values.
361 citations
TL;DR: The existence of a point-to-point heteroclinic orbit loop is shown, the Hopf bifurcation is considered, and the existence/uniqueness and the nonexistence of limit cycle for appropriate range of parameters are proved.
Abstract: Global bifurcation analysis of a class of general predator–prey models with a strong Allee effect in prey population is given in details. We show the existence of a point-to-point heteroclinic orbit loop, consider the Hopf bifurcation, and prove the existence/uniqueness and the nonexistence of limit cycle for appropriate range of parameters. For a unique parameter value, a threshold curve separates the overexploitation and coexistence (successful invasion of predator) regions of initial conditions. Our rigorous results justify some recent ecological observations, and practical ecological examples are used to demonstrate our theoretical work.
247 citations
TL;DR: It is shown that under certain assumptions on the coefficients the steady state of the delay model is asymptotically stable for all delay values.
Abstract: In this paper, we first study the distribution of the zeros of a third degree exponential polynomial. Then we apply the obtained results to a delay model for the control of testosterone secretion. It is shown that under certain assumptions on the coefficients the steady state of the delay model is asymptotically stable for all delay values. Under another set of conditions, there is a critical delay value, the steady state is stable when the delay is less than the critical value and unstable when the delay is greater than the critical value. Thus, oscillations via Hopf bifurcation occur at the steady state when the delay passes through the critical value. Numerical simulations are presented to illustrate the results.
227 citations
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01 Jan 2003
2,810 citations
2,084 citations
01 Dec 2003
TL;DR: In this paper, a decomposition technique was developed to investigate the stability of some exponential polynomials, that is, to find conditions under which all zeros have negative real parts.
Abstract: In this paper, we first establish a basic theorem on the zeros of general transcendental functions. Based on the basic theorem, we develop a decomposition technique to investigate the stability of some exponential polynomials, that is, to find conditions under which all zeros of the exponential polynomials have negative real parts. The technique combines the D-decomposition and τ -decomposition methods so that it can be used to study differential equations with multiple delays. As an application, we study the stability and bifurcation of a scalar equation with two delays modeling compound optical resonators.
715 citations
TL;DR: The scientific books will also be the best reason to choose, especially for the students, teachers, doctors, businessman, and other professions who are fond of reading.
Abstract: In what case do you like reading so much? What about the type of the complex population dynamics a theoretical empirical synthesis book? The needs to read? Well, everybody has their own reason why should read some books. Mostly, it will relate to their necessity to get knowledge from the book and want to read just to get entertainment. Novels, story book, and other entertaining books become so popular this day. Besides, the scientific books will also be the best reason to choose, especially for the students, teachers, doctors, businessman, and other professions who are fond of reading.
627 citations