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1

McGinness, Ann M. Evaluation of shear and elongational flow regimes on the oscillatory rheological properties of a model of chocolate. University of Birmingham, 1996.

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2

1935-, Jacklet Jon W., ed. Neuronal and cellular oscillators. Marcel Dekker, 1989.

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3

Montgomery, Erwin B. Oscillator Basics. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780190259600.003.0016.

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This chapter uses metaphors to help programmers picture the basic concepts of oscillators. At the least, DBS can be considered as oscillatory stimulation of the nervous system and increasingly, it is likely that the nervous system operates on the bases of neuronal and neural oscillators. Thus, a fundamental understanding of oscillators, particularly their features, is important. The defining feature of oscillatory activity is the recurrence or repetition of a phenomenon, such as the repetitive flashing of a light at a railroad crossing. This chapter uses the metaphor of a racecar circling on a
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4

Khol'kin, Aleksandr M., and Ognjen Milatovic. Spectral Analysis of Differential Operators: Interplay Between Spectral and Oscillatory Properties. World Scientific Publishing Co Pte Ltd, 2005.

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5

Kholkin, Aleksandr M. Spectral Analysis of Differential Operators: Interplay Between Spectral and Oscillatory Properties. World Scientific Publishing Co Pte Ltd, 2005.

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6

(Translator), Ognjen Milatovic, and Vladimir A. Marchenko (Foreword), eds. Spectral Analysis of Differential Operators: Interplay Between Spectral and Oscillatory Properties (World Scientific Monograph Series in Mathematics, Vol. 7). World Scientific Publishing Company, 2005.

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7

Selverston, Allen. Rhythms and oscillations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199674923.003.0021.

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The study of identifiable neurons, a common feature of invertebrate nervous systems, has made it possible to construct a detailed cell-to-cell connectivity map using electrophysiological methods that can inspire the design of biomimetic systems. This chapter describes how the analysis of the neural circuitry in the lobster stomatogastric ganglion (STG) has provided some general principles underlying oscillatory and rhythmic behavior in all animals. The rhythmic and oscillatory patterns produced by the two STG central pattern generating (CPG) circuits are a result of two cooperative mechanisms,
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8

Bartusek, M. Asymptotic properties of oscillatory solutions of differential equations of the n-TH order (Folia facultatis scientiarium naturalium Universitatis Masarykiana Brunensis/Mathematica). Masarykova Univerzita, 1992.

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9

Mann, Peter. The Harmonic Oscillator. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0004.

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This chapter discusses the harmonic oscillator, which is a model ubiquitous to all branches of physics. The harmonic oscillator is a system with well-known solutions and has been fully investigated since it was first developed by Robert Hooke in the seventeenth century. These factors ensure that the harmonic oscillator is as relevant to a swinging pendulum as it is to a quantum field. Due to the importance of this model, the chapter investigates its dynamical properties, including the superposition principle in solutions, and construct a probability density function in a single dimension. The
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10

Montgomery, Erwin B. Discrete Neural Oscillators. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780190259600.003.0017.

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The therapeutic mechanisms of action of DBS likely involve neural and neuronal oscillators. “Neuronal oscillators” describes periodic fluctuations of electrical potentials across the neuronal membrane, particularly in the soma, which is reflected in an action-potential-initiating segment. “Neural oscillators” describes closed loop (feedback) multi-neuronal polysynaptic circuits, on account of the propagations of action potentials through the circuit. Neural oscillators are the focus of this chapter. The features, properties and dyanmics introduced in Chapter 16 – Basic Oscillators are extended
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11

Horing, Norman J. Morgenstern. Graphene. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0012.

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Chapter 12 introduces Graphene, which is a two-dimensional “Dirac-like” material in the sense that its energy spectrum resembles that of a relativistic electron/positron (hole) described by the Dirac equation (having zero mass in this case). Its device-friendly properties of high electron mobility and excellent sensitivity as a sensor have attracted a huge world-wide research effort since its discovery about ten years ago. Here, the associated retarded Graphene Green’s function is treated and the dynamic, non-local dielectric function is discussed in the degenerate limit. The effects of a quan
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12

Littlejohn, Samuel David. Electrical Properties of Graphite Nanoparticles in Silicone: Flexible Oscillators and Electromechanical Sensing. Springer London, Limited, 2013.

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13

Littlejohn, Samuel David. Electrical Properties of Graphite Nanoparticles in Silicone: Flexible Oscillators and Electromechanical Sensing. Springer, 2013.

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14

Littlejohn, Samuel David David. Electrical Properties of Graphite Nanoparticles in Silicone: Flexible Oscillators and Electromechanical Sensing. Springer, 2016.

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15

Salt, David. The Hy-Q Handbook of Quartz Crystal Devices. Chapman & Hall, 1987.

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16

Solymar, L., D. Walsh, and R. R. A. Syms. Lasers. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198829942.003.0012.

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Two-state and three-state systems are introduced. The properties of gaseous, solid state, and dye lasers are discussed and particular attention is devoted to semiconductor lasers. Reducing the dimensions leading to wells, wires, and dots is shown to have advantages. Quantum cascade lasers working in the THz region are discussed. The phenomena of Q switching, cavity dumping, and mode locking are explained. Parametric oscillators and optical fibre amplifiers are discussed. Masers are briefly mentioned. Laser noise is discussed. Awide variety of applications are mentioned. The curious phenomenon
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17

Boudreau, Joseph F., and Eric S. Swanson. Nonlinear dynamics and chaos. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0013.

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Simple maps and dynamical systems are used to explore chaos in nature. The discussion starts with a review of the properties of nonlinear ordinary differential equations, including the useful concepts of phase portraits, fixed points, and limit cycles. These notions are developed further in an examination of iterative maps that reveal chaotic behavior. Next, the damped driven oscillator is used to illustrate the Lyapunov exponent that can be used to quantify chaos. The famous KAM theorem on the conditions under which chaotic behavior occurs in physical systems is also presented. The principle
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18

Tiwari, Sandip. Semiconductor Physics. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198759867.001.0001.

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A graduate-level text, Semiconductor physics: Principles, theory and nanoscale covers the central topics of the field, together with advanced topics related to the nanoscale and to quantum confinement, and integrates the understanding of important attributes that go beyond the conventional solid-state and statistical expositions. Topics include the behavior of electrons, phonons and photons; the energy and entropic foundations; bandstructures and their calculation; the behavior at surfaces and interfaces, including those of heterostructures and their heterojunctions; deep and shallow point per
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19

Mathematics of Continuous and Discrete Dynamical Systems (Contemporary Mathematics). Amer Mathematical Society, 2012.

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