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Article
Stationary distribution of a stochastic three species predator–prey model with anti-predator behavior
A stochastic three species predator–prey model with intermediate predator and anti-predator behavior is established and studied in this paper. By constructing suitable Lyapunov functions and combining knowledg...
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Article
Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits
Coupled arrays of Chua’s circuits have been studied for many years. The existence of traveling wave solutions for such system was shown numerically in Perez-Munuzuri et al. (Traveling wave front and its failur...
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Article
Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation
In this paper, using the local coordinate moving frame approach, we investigate bifurcations of generic heteroclinic loop with a hyperbolic equilibrium and a nonhyperbolic equilibrium which undergoes a pitchfo...
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Article
Open AccessMultiple unbounded solutions for a boundary value problem on infinite intervals
This paper is concerned with the existence of multiple unbounded solutions for a Sturm-Liouville boundary value problem on the half-line. By assuming the existence of two pairs of unbounded upper and lower sol...
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Article
Weak type heterodimensional cycle bifurcation with orbit-flip
In this paper, we study the weak type heterodimensional cycle with orbit-flip in its non-transversal orbit by using the local moving frame approach. For the first two subcases, we present the sufficient condit...
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Article
Positive solutions for p-Laplacian dynamic equations on time scales
The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel’skii’s fixed-point theorem and fixed-point index theorem, criteria are achieved for the...