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Article
Open AccessDynamic performance of simply supported girder bridges subjected to successive earthquake-tsunami events
Coastal bridges are susceptible to severe damage when subjected to successive earthquake-tsunami events. Previous studies mainly consider the tsunami loadings as hydrodynamic forces, whereas other hydrodynamic...
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Article
Design and validation of electro-hydraulic pum** unit for smart manufacturing
Smart manufacturing plays a pivot role in the field of advanced manufacturing technology. In this work, we propose an electro-hydraulic pum** unit on the basis of axial piston pump for smart manufacturing. I...
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Article
Open AccessLong-term loss assessment of coastal bridges from hurricanes incorporating overturning failure mode
Coastal highway bridge is an essential component of the transportation system but threatened by natural hazards such as hurricanes. Damaged highway bridges result in not only transportation disruption, but als...
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Article
Bifurcation analysis of the multiple flips homoclinic orbit
A high-codimension homoclinic bifurcation is considered with one orbit flip and two inclination flips accompanied by resonant principal eigenvalues. A local active coordinate system in a small neighborhood of ...
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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
Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
In this paper, the bifurcations of heterodimensional cycles are investigated by setting up a suitable local coordinate system in a four-dimensional system. Under some ungeneric conditions—one orbit flip and on...
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Article
Codimension 2 reversible heteroclinic bifurcations with inclination flips
In this paper, the heteroclinic bifurcation problem with real eigenvalues and two inclination-flips is investigated in a four-dimensional reversible system. We perform a detailed study of this case by using th...
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Article
Codimension 3 Nontwisted Double Homoclinic Loops Bifurcations with Resonant Eigenvalues
This paper presents the nontwisted double-homoclinic-loop bifurcations with resonant eigenvalues in four dimensional vector fields. The Poincaré map is established to solve various problems in double-homoclini...
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Article
Bifurcation of degenerate homoclinic orbits to saddle-center in reversible systems
The authors study the bifurcation of homoclinic orbits from a degenerate homoclinic orbit in reversible system. The unperturbed system is assumed to have saddle-center type equilibrium whose stable and unstabl...
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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...
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Article
Bifurcation of Homoclinic Orbits with Saddle-Center Equilibrium*
In this paper, the authors develop new global perturbation techniques for detecting the persistence of transversal homoclinic orbits in a more general nondegenerated system with action-angle variable. The unpe...
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Article
Codimension 3 Non-resonant Bifurcations of Rough Heteroclinic Loops with One Orbit Flip*
Heteroclinic bifurcations in four dimensional vector fields are investigated by setting up a local coordinates near a rough heteroclinic loop. This heteroclinic loop has a principal heteroclinic orbit and a no...
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Article
Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips
Homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoclinic orbit. This homoclinic orbit is principal but its stable and unstable foliations ta...
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Article
Bifurcations of rough heteroclinic loop with two saddle points
The bifurcation problems of rough 2-point-loop are studied for the caseρ 1 1 >λ 1 1 ...
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Article
Global asymptotic stability for a nonlinear delay difference equation
In this paper, a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained,
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Article
Bifurcations of nontwisted heteroclinic loop
Bifurcations of nontwisted and fine heteroclinic loops are studied for higher dimensional systems. The existence and its associated existing regions are given for the 1-hom orbit and the 1-per orbit, respectiv...
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Article
Bifurcations of heteroclinic loops
By generalizing the Floquet method from periodic systems to systems with exponential dichotomy, a local coordinate system is established in a neighborhood of the heteroclinic loop Γ to study the bifurcation pr...
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Article
Stability and uniqueness of periodic orbits produced during homoclinic bifurcation
Under a generic assumption, the existence and the uniqueness of the periodic orbit generating from a homoclinic bifurcation are shown, and the dimensions of its stable and unstable manifolds are given. In the ...
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Article
Cycle control functions and the number of limit cycles
The cycle control function is defined and used to estimate the number of limit cycles for some planar autonomous systems. Some sufficient conditions for the existence of no or at most one limit cycle are given.
