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  1. Scholarly Information Network

    I review the background and some recent trends of a particular scholarly information network, ar**v.org, and discuss some of its implications for new...
    Paul Ginsparg in Complex Networks
    Chapter

  2. Information Theory of Complex Networks: On Evolution and Architectural Constraints

    Complex networks are characterized by highly heterogeneous distributions of links, often pervading the presence of key properties such as robustness...
    Ricard V. Solé, Sergi Valverde in Complex Networks
    Chapter

  3. The Small World Phenomenonin Hybrid Power Law Graphs

    The small world phenomenon, that consistently occurs in numerous existing networks, refers to two similar but different properties — small average...
    Fan Chung, Linyuan Lu in Complex Networks
    Chapter

  4. Nonlinear Waves, Solitons, and IST

    These lectures are written for a wide audience with diverse backgrounds. The subject is approached from a general perspective and overly detailed...
    M.J. Ablowitz in Integrability of Nonlinear Systems
    Chapter

  5. Integrability – and How to Detect It

    We present a physicist’s approach to integrability and its detection. Starting from specific examples we present a working definition of what is...
    B. Grammaticos, A. Ramani in Integrability of Nonlinear Systems
    Chapter

  6. Extremal Properties of Random Structures

    The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed...
    Eli Ben-Naim, Paul L. Krapivsky, Sidney Redner in Complex Networks
    Chapter

  7. Spectral Analysis of Random Networks

    We review a general approach that describes the spectra of eigenvalues for random graphs with a local tree-like structure. The exact equations to the...
    Sergei N. Dorogovtsev, Alexander V. Goltsev, ... Alexander N. Samukhin in Complex Networks
    Chapter

  8. 11. Third harmonic synchronization

    In this chapter, a brief analysis of the synchronization at the third harmonic of the center VCO frequency is given. The relatively large width of...
    Nikolaos I. Margaris in Theory of the Non-linear Analog Phase Locked Loop
    Chapter

  9. Theory of Cooper Pairing Due to Exchange of Spin Fluctuations

    It is of general interest whether singlet high- \(T_{\rm c}\)...
    Dirk Manske in Theory of Unconventional Superconductors
    Chapter

  10. 10. Main sychronization

    It was made clear in Chapter 9 that the second order type-II loop operates either in saturated or in unsaturated mode. In this chapter, only the main...
    Nikolaos I. Margaris in Theory of the Non-linear Analog Phase Locked Loop
    Chapter

  11. 6. Introduction to second order type – I PLL

    From the analysis of the first order loop, presented in Part I, it becomes evident that the presence of the ripple in the output of the phase...
    Nikolaos I. Margaris in Theory of the Non-linear Analog Phase Locked Loop
    Chapter

  12. 9. Introduction to second order type – II PLL

    In the second order type-II loop the filter is active and specifically a PI controller. This loop is considered superior to the second order type-I...
    Nikolaos I. Margaris in Theory of the Non-linear Analog Phase Locked Loop
    Chapter

  13. 4. Main synchronization

    In this chapter the main synchronization of the first order PLL is discussed. At first, we perform the local stability analysis of the main...
    Nikolaos I. Margaris in Theory of the Non-linear Analog Phase Locked Loop
    Chapter

  14. 8. Main synchronization

    In the present chapter the main synchronization of the second order type-I loop is treated. At first, the local stability analysis is presented and...
    Nikolaos I. Margaris in Theory of the Non-linear Analog Phase Locked Loop
    Chapter

  15. 12. Introduction to third order type – II PLL

    According to the analysis presented in Part IV, the presence of ripple makes the performance of the second order type-II loop problematic. Therefore,...
    Nikolaos I. Margaris in Theory of the Non-linear Analog Phase Locked Loop
    Chapter

  16. Modeling Calcium Waves

    We present an introduction to the mathematics of calcium waves, both intracellular and intercellular. After a discussion of the earlier models I...
    James Sneyd, Krasimira Tsaneva-Atanasova in Understanding Calcium Dynamics
    Chapter

  17. Bifurcation Analysis with Application to Power Electronics

    The problem of sudden loss of stability (more precisely, sudden change of operating behaviour) is frequently encountered in power electronics. A...
    Chi K. Tse, Octavian Dranga in Bifurcation Control
    Chapter

  18. Static Bifurcation in Mechanical Control Systems

    Feedback regulation of nonlinear dynamical systems inevitably leads to issues concerning static bifurcation. Static bifurcation in feedback systems...
    Harry G. Kwatny, Bor-Chin Chang, Shiu-** Wang in Bifurcation Control
    Chapter

  19. Global Control of Complex Power Systems

    This chapter presents an overview of recent results on an approach to total control of power systems. It is upwards compatible from any conventional...
    David J. Hill, Yi Guo, ... Youyi Wang in Bifurcation Control
    Chapter

  20. Rational Positive Systems for Reaction Networks

    The purpose of the lecture associated with this paper is to present problems, concepts, and theorems of control and system theory for a subclass of...
    Jan H. van Schuppen in Positive Systems
    Conference paper
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