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On the Center Problem for Generalized Abel Equations
This paper is devoted to the conditions of the existence of CC-center for the generalized Abel equations. Using some new original methods, we obtain...
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Qualitative Research in the Poincaré Disk of One Family of Dynamical Systems
In this paper, we discuss a wide family of dynamical systems whose characteristic feature is a polynomial right-hand side containing coprime forms of...
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NES cell
A broadband adaptive vibration control strategy with high reliability and flexible versatility is proposed. The high vibration dam** performance of...
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Almost Periodic Solutions by the Harmonic Balance Method
We consider non-autonomous ordinary differential equations in two cases. One is the one-dimensional case that admits a condition of hyperbolicity,...
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A vertical track nonlinear energy sink
Eliminating the effects of gravity and designing nonlinear energy sinks (NESs) that suppress vibration in the vertical direction is a challenging...
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Effects of multiple shapes for steady flow with transformer oil+Fe3O4+TiO2 between two stretchable rotating disks
In this study, we examine the effects of various shapes of nanoparticles in a steady flow of hybrid nanofluids between two stretchable rotating...
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On Meromorphic Solutions of Nonlinear Complex Differential Equations
By utilizing Nevanlinna theory of meromorphic functions, we characterize meromorphic solutions of the following nonlinear differential equation of...
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On the Stability of Integral Manifolds of a System of Ordinary Differential Equations in the Critical Case
In this paper, we consider the stability problem for nonzero integral manifolds of a nonlinear, finite-dimensional system of ordinary differential...
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Geometrically nonlinear inerter for vibration suppression
A two-degree-of-freedom (2DOF) vibration isolation structure with an integrated geometric nonlinear inerter (NI) device is proposed. The device is...
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Periodic systems with time dependent maximal monotone operators
We consider a first order periodic system in ℝ N , involving a time dependent maximal monotone operator which need not have a full domain and a...
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Complex response analysis of a non-smooth oscillator under harmonic and random excitations
It is well-known that practical vibro-impact systems are often influenced by random perturbations and external excitation forces, making it...
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Fractional nonlinear energy sinks
The cubic or third-power (TP) nonlinear energy sink (NES) has been proven to be an effective method for vibration suppression, owing to the...
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Dynamics and vibration reduction performance of asymmetric tristable nonlinear energy sink
With its complex nonlinear dynamic behavior, the tristable system has shown excellent performance in areas such as energy harvesting and vibration...
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Adjacent mode resonance of a hydraulic pipe system consisting of parallel pipes coupled at middle points
The coupling vibration of a hydraulic pipe system consisting of two pipes is studied. The pipes are installed in parallel and fixed at their ends,...
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Surface deformation-dependent mechanical properties of bending nanowires: an ab initio core-shell model
An ab initio core-shell model is proposed to evaluate the surface effect in bending nanowires, in which the elastic modulus depends on the surface...
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Parametric resonance of axially functionally graded pipes conveying pulsating fluid
Based on the generalized Hamilton’s principle, the nonlinear governing equation of an axially functionally graded (AFG) pipe is established. The...
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Consensus of a Two-Agent System with Nonlinear Dynamics and Time-Varying Delay
To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study...
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On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks
We develop and test a relatively simple enhancement of the classical model reduction method applied to a class of chemical networks with mass...
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Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect
In this paper, to better reveal the surface effect and the screening effect as well as the nonlinear multi-field coupling characteristic of the...