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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... -
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... -
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... -
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... -
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... -
Extremal Properties of Random Structures
The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed... -
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... -
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... -
Theory of Cooper Pairing Due to Exchange of Spin Fluctuations
It is of general interest whether singlet high- \(T_{\rm c}\)... -
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... -
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... -
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... -
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... -
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... -
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,... -
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... -
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... -
Static Bifurcation in Mechanical Control Systems
Feedback regulation of nonlinear dynamical systems inevitably leads to issues concerning static bifurcation. Static bifurcation in feedback systems... -
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... -
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...