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SRMD: Sparse Random Mode Decomposition
Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for...
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Driven Intrinsic Localized Modes in Soft Nonlinear Microscopic and Macroscopic Lattices
The possibility that large amplitude, localized vibrational excitations can exist in periodic physical lattices with nonlinear intersite forces was...
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Modulational Instability and Discrete Localized Modes in Two Coupled Atomic Chains with Next-Nearest-Neighbor Interactions
A pair of one dimensional atomic chains which are coupled via the Klein-Gordon potential is considered in this study, with each chain experiencing...
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Analytical detection of stationary and dynamic patterns in a prey–predator model with reproductive Allee effect in prey growth
Allee effect in population dynamics has a major impact in suppressing the paradox of enrichment through global bifurcation, and it can generate...
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Constructing a Trapped Mode at Low Frequencies in an Elastic Waveguide
For any small ε > 0, a two-dimensional elastic waveguide is constructed such that λ e = ε 4 is the only eigenvalue in the vicinity of the lower bound...
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Bifurcations and Patterns in the Kuramoto Model with Inertia
In this work, we analyze the Kuramoto model (KM) with inertia on a convergent family of graphs. It is assumed that the intrinsic frequencies of the...
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The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes
The shape of cells and the control thereof plays a central role in a variety of cellular processes, including endo- and exocytosis, cell division and...
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Fusion and Positivity in Chiral Conformal Field Theory
In this article we show that the conformal nets corresponding to WZW models are rational, resolving a long-standing open problem. Specifically, we...
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Petaling failure of pressurized pipelines subjected to the impact load by sphere penetrators
Petaling failures of pressurized pipelines subjected to impact loads by sphere penetrators are systematically analyzed. In this paper, nonlinear...
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Global Linear Stability and Sensitivity of Hypersonic Shock-Boundary Layer Interactions
Understanding physical mechanisms that cause transition of laminar boundary layers to turbulent state in hypersonic flows is important for vehicle...
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Cell Repolarization: A Bifurcation Study of Spatio-Temporal Perturbations of Polar Cells
The intrinsic polarity of migrating cells is regulated by spatial distributions of protein activity. Those proteins (Rho-family GTPases, such as Rac...
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Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain
A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the evolution of the total-to-kinetic-energy ratio during...
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Electromagnetic Cavities and Cavity Quantum Electrodynamics
Only for the sake of manipulating a single quantum system, one can realize it by applying intense electromagnetic waves such as lasers and/or...
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Post-Fourier Frequencies: Variations and Paradoxes
We address two questions related to the notion of frequency and its possible extensions in the case of evolutive situations, some of them leading to...
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Rich dynamics of a Filippov avian-only influenza model with a nonsmooth separation line
Depopulation of birds has been authenticated to be an effective measure in controlling avian influenza transmission. In this work, we establish a...
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Flexural-wave-generation using a phononic crystal with a piezoelectric defect
This paper proposes a method to amplify the performance of a flexural-wave-generation system by utilizing the energy-localization characteristics of...
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Stochastic Optimization Methods
This chapter introduces some methods aimed at solving difficult optimization problems arising in many engineering fields. By difficult optimization...
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Schroedinger equation, spin and topology
The presence of imaginary unit i at a fundamental level in the Schroedinger wave equation has led to the mysterious interpretation of quantum theory....
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Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm
The proximal point algorithm finds a zero of a maximal monotone map** by iterations in which the map** is made strongly monotone by the addition...
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Various Couplings in Quantum Systems
In this chapter, we pick up several quantum systems to see examples of interaction (or coupling) among quantum systems and estimate the values of the...