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1. |
Record Nr. |
UNINA9910798022103321 |
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Autore |
Fish Margaret A. <1959-> |
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Titolo |
Here's how to treat childhood apraxia of speech / / Margaret Fish, MS, CCC-SLP |
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Pubbl/distr/stampa |
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San Diego, California : , : Plural Publishing, Inc., , 2016 |
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©2016 |
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ISBN |
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Edizione |
[Second edition.] |
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Descrizione fisica |
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1 online resource (465 pages) : illustrations |
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Collana |
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Disciplina |
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Soggetti |
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Apraxia - Treatment |
Speech therapy for children |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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2. |
Record Nr. |
UNINA9910438050103321 |
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Autore |
Shaikhet Leonid |
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Titolo |
Lyapunov functionals and stability of stochastic functional differential equations / / Leonid Shaikhet |
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Pubbl/distr/stampa |
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Cham, Switzerland ; ; New York, : Springer, c2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (342 p.) |
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Disciplina |
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Soggetti |
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Lyapunov functions |
Stochastic differential equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Short Introduction to Stability Theory of Deterministic Functional Differential Equations -- Stability of Linear Scalar Equations -- Stability of Linear Systems of Two Equations -- Stability of Systems with Nonlinearities -- Matrix Riccati Equations in Stability of Linear Stochastic Differential Equations with Delays -- Stochastic Systems with Markovian Switching -- Stabilization of the Controlled Inverted Pendulum by Control with Delay -- Stability of Equilibrium Points of Nicholson’s Blowflies Equation with Stochastic Perturbations -- Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator-Prey with Aftereffect and Stochastic Perturbations -- Stability of SIR Epidemic Model Equilibrium Points -- Stability of Some Social Mathematical Models with Delay by Stochastic Perturbations. |
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Sommario/riassunto |
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Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for discrete- and continuous-time difference equations. The text begins with a description of the peculiarities of deterministic and stochastic functional differential equations. There follow basic definitions for stability theory of stochastic hereditary systems, and a |
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formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: • inverted controlled pendulum; • Nicholson's blowflies equation; • predator-prey relationships; • epidemic development; and • mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology. |
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3. |
Record Nr. |
UNINA9910739456003321 |
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Autore |
Pupeza Ioachim <1980-> |
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Titolo |
Passive Optical Resonators for Next-Generation Attosecond Metrology / / by Ioachim Pupeza |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
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ISBN |
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9783030929725 |
9783030929718 |
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Edizione |
[1st ed. 2022.] |
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Descrizione fisica |
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1 online resource (73 pages) |
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Collana |
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SpringerBriefs in Physics, , 2191-5431 |
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Disciplina |
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Soggetti |
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Optics |
Photonics |
Optics and Photonics |
Applied Optics |
Ultrafast Photonics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Introduction -- Cavity‐enhanced high‐order harmonic generation for attosecond metrology -- Next‐generation enhancement cavities for attosecond metrology – an outlook. |
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Sommario/riassunto |
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This book introduces readers to the development of a new generation of high pulse-repetition frequency instruments for multi-dimensional attosecond-resolution photoelectron spectroscopy (attosecond PES). It investigates the power scaling of femtosecond enhancement cavities for efficient intracavity high-harmonics generation (HHG). Further, it derives and verifies advanced resonator designs that feature large illuminated spots on all mirrors, which mitigate both intensity- and thermally-induced enhancement limitations. The dynamics of a high-finesse, passive resonator in the presence of a highly nonlinear optical process such as HHG are quantitatively investigated, both theoretically and experimentally. These investigations are instrumental in achieving the holistic optimization of the XUV source reported on here, which for the first time reached intracavity HHG conversion efficiencies comparable to those achieved in single-pass setups with a similar gas target. Coupling out the XUV beam from the enhancement cavity by purely geometric means, employing both the fundamental and higher-order transverse Gaussian modes, is studied. This offers the advantages of robustness, low distortion to the participating pulses, and photon-energy scalability. Last but not least, the author provides a range of proof-of-principle attosecond angle-resolved PES experiments. The book gives an outlook on the possible future development of cavity-enhanced HHG and an extensive discussion on the generation of isolated XUV attosecond pulses via intracavity wavefront rotation. |
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