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This Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connection rule determines the graph topology. When the edges can be assigned a length and the wave functions on the edges are defined in metric spaces, the graph is called a metric graph. Evolution equations on metric graphs have attracted much attention as effective tools for the modeling of particle and wave dynamics in branched structures and networks. Since branched structures and networks appear in different areas of contemporary physics with many applications in electronics, biology, material science, and nanotechnology, the development of effective modeling tools is important for the many practical problems arising in these areas. The list of important problems includes searches for standing waves, exploring of their properties (e.g., stability and asymptotic behavior), and scattering dynamics. This Special Issue is a representative sample of the works devoted to the solutions of these and other problems.

quantum graphs --- non-linear Schrödinger equation --- standing waves --- metric graphs --- NLS --- NLD --- ground states --- bound states --- localized nonlinearity --- nonrelativistic limit --- quantum graphs --- nonlinear Schrödinger equation --- nodal structure --- soliton --- breather --- sine-Gordon equation --- Schrödinger equation --- star graph --- quantum graph --- metric graphs --- scaling limit --- Kre?n formula --- point interactions --- metric graphs --- open sets converging to metric graphs --- Laplacians --- norm convergence of operators --- convergence of spectra --- networks --- nonlinear shallow water equations --- nonlinear wave equations

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Plasmonics is a rapidly developing field that combines fundamental research and applications ranging from areas such as physics to engineering, chemistry, biology, medicine, food sciences, and the environmental sciences. Plasmonics appeared in the 1950s with the discovery of surface plasmon polaritons. Plasmonics then went through a novel propulsion in the mid-1970s, when surface-enhanced Raman scattering was discovered. Nevertheless, it is in this last decade that a very significant explosion of plasmonics and its applications has occurred. Thus, this book provides a snapshot of the current advances in these various areas of plasmonics and its applications, such as engineering, sensing, surface-enhanced fluorescence, catalysis, and photovoltaic devices.

plasmon --- hexaboride --- doping --- lanthanum hexaboride --- LaB6 --- Ni --- THG --- nonlinearity --- plasmon --- lightning rod --- plasmonics --- nano-aperture --- surface-enhanced fluorescence --- antenna --- hybrid --- SERS --- sensors --- aluminum --- silicon --- Perovskites --- solar cell --- plasmonic nanoparticles --- short circuit current --- quantum efficiency --- lanthanum hexaboride --- LaB6 --- plasmon --- nanoparticles --- heat absorption --- plasmonics --- catalysis --- nanomaterials --- electrochemistry --- fuel --- fuel cells --- metal-dielectric resonance --- plasmon --- metasurface --- nanoparticles --- sensing --- surface-enhanced Raman scattering (SERS) --- nanoparticles --- non-linear optics --- surface plasmons --- sum-frequency generation spectroscopy --- interfaces --- gold --- metasurface --- coupling compensation --- diffractive efficiency --- enhanced Raman spectroscopy --- plasmonic nanoparticles --- AFM-nanomanipulations --- optical near-field --- plasmonic molecules --- plasmonics --- resonance modes --- biosensing --- plasmonic materials --- hybrid function --- multi-channel sensing --- spectroelectrochemistry --- plasmonics --- sensing --- surface-enhanced Raman scattering --- sum-frequency generation --- third harmonic generation --- surface-enhanced fluorescence --- metasurfaces --- catalysis --- lanthanum hexaboride --- solar cell

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In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.

multi-time scale fractional stochastic differential equations --- fractional Brownian motion --- fractional stochastic partial differential equation --- analytical solution --- nonautonomous (autonomous) dynamical system --- topological entropy --- (asymptotical) focal entropy point --- disturbation --- m-dimensional manifold --- geometric nonlinearity --- Bernoulli–Euler beam --- colored noise --- noise induced transitions --- true chaos --- Lyapunov exponents --- wavelets --- Lyapunov exponents --- Wolf method --- Rosenstein method --- Kantz method --- neural network method --- method of synchronization --- Benettin method --- Fourier spectrum --- Gauss wavelets --- fractional calculus --- Adomian decomposition --- Mittag–Leffler function --- descriptor fractional linear systems --- regular pencils --- Schur factorization --- hyperchaotic system --- self-synchronous stream cipher --- permutation entropy --- image encryption --- wavelet transform --- product MV-algebra --- partition --- Tsallis entropy --- conditional Tsallis entropy --- dynamical system --- discrete chaos --- discrete fractional calculus --- hidden attractors --- approximate entropy --- stabilization --- Information transfer --- continuous flow --- discrete mapping --- Lorenz system --- Chua’s system --- deterministic chaos --- random number generator --- unbounded chaos --- bounded chaos --- phase-locked loop --- Gaussian white noise --- n/a

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Although the theme of the monograph is primarily related to “Applied Econometrics”, there are several theoretical contributions that are associated with empirical examples, or directions in which the novel theoretical ideas might be applied. The monograph is associated with significant and novel contributions in theoretical and applied econometrics; economics; theoretical and applied financial econometrics; quantitative finance; risk; financial modeling; portfolio management; optimal hedging strategies; theoretical and applied statistics; applied time series analysis; forecasting; applied mathematics; energy economics; energy finance; tourism research; tourism finance; agricultural economics; informatics; data mining; bibliometrics; and international rankings of journals and academics.

inflation --- postage stamps --- price recovery --- historical time series --- EGARCH --- FHA loan --- home mortgage --- foreclosure --- default and prepayment --- unobserved heterogeneity --- duration models --- competing risks --- earnings forecasts --- earnings announcements --- financial markets --- financial analysts --- nonparametric time series modeling --- nonlinearity --- unified time series algorithm --- exploratory diagnostics --- control environment --- budgetary system and strategies --- operational control --- company performance --- economic growth --- economic freedom --- foreign direct investment --- panel data --- cash payments --- efficiency --- denomination range --- JEL Classification --- E42 --- E58 --- managing of financial health --- risk of bankruptcy --- prediction methods --- post-communist countries --- Misery Index --- inflation --- unemployment --- Probit and Logit models --- Okun’s law --- multivariate regression models --- heavy-tailed data --- Mahalanobis distances --- maximum likelihood estimator --- independent multivariate Student distribution --- uncorrelated multivariate Student distribution --- derivatives market --- economic development --- Granger-causality tests --- vector error correction model (VECM) --- DOLS --- FMOLS --- income inequality --- economic growth --- middle income countries --- Granger causality test --- system GMM --- oil price --- exchange rate --- trade balance --- cointegration --- frequency domain causality --- Nigeria --- Fama-French factor model --- market microstructure --- trading behavior --- panel data factor model --- social network model --- risk spillover --- abnormal returns

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The propagation of ultrasonic guided waves in solids is an important area of scientific inquiry, primarily due to their practical applications for nondestructive characterization of materials, such as nondestructive inspection, quality assurance testing, structural health monitoring, and providing a material state awareness. This Special Issue of Applied Sciences covers all aspects of ultrasonic guided waves (e.g., phased array transducers, meta-materials to control wave propagation characteristics, scattering, attenuation, and signal processing techniques) from the perspective of modeling, simulation, laboratory experiments, or field testing. In order to fully utilize ultrasonic guided waves for these applications, it is necessary to have a firm grasp of their requisite characteristics, which include that they are multimodal, dispersive, and are comprised of unique displacement profiles through the thickness of the waveguide.

electromagnetic wave --- group velocity --- time-frequency domain reflectometry --- dispersive medium --- ultrasonic guided wave --- nondestructive testing --- square steel bar --- non-detection zone --- surface flaw --- Rayleigh wave --- scattering --- modified BEM --- reconstruction --- adhesive joint --- single lap joint --- non-destructive testing --- damage identification --- Lamb waves --- scanning laser vibrometry --- signal processing --- ultrasonic guided waves --- axial transmission --- ultrasonic guided waves --- fiber optics --- fiber Bragg grating --- nondestructive testing --- structural health monitoring --- pipe inspection --- partial wave method --- slowness curves --- lamb wave --- stoneley wave --- mode sorting --- acoustic leakage --- rayleigh wave --- surface waves --- elastodynamics --- guided waves --- lamb wave --- dispersion curves --- phase velocity --- group velocity --- signal processing --- SH0 mode --- circumferential scanning --- synthetic aperture focusing --- exploding reflector model --- Lamb wave --- local wavenumber --- air-coupled transducer --- wavenumber domain filtering --- hybrid and non-contact system --- signal processing --- SNR --- split-spectrum processing --- ultrasonic guided waves --- signal processing --- defect detection --- spatial domain --- array analysis --- pipeline inspection --- ultrasonic guided waves (UGWs) --- metamaterial --- resonator --- low-frequency --- lamb wave --- adaptive filtering --- leaky normalized mean square --- ultrasonic guided waves --- pipeline inspection --- SNR enhancement --- signal processing --- guided wave --- multi-wire cable --- wave structure --- contact acoustic nonlinearity --- energy transfer --- rail --- ultrasonic guided wave --- semi-analytical finite element --- single mode extraction algorithm --- defect location --- signal processing --- defect detection --- torsional wave --- power spectrum --- sliding window --- pipeline inspection --- ultrasonic guided-waves (UGWs) --- magnetostrictive patch transducer --- shear mode --- soft magnetic patch --- dynamic magnetic field optimization --- signal strength enhancement --- acoustic emission --- nondestructive testing --- leakage location --- fault diagnosis --- n/a --- lamb waves --- composite --- ultrasonic testing --- numerical modelling --- pressure vessels