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Poly(mercaptoimidazolyl)borate Complexes of Cadmium and Mercury
The coordination chemistry of bis- and tris(mercaptoimidazolyl)borate ligands with both main-group and transition metals is rapidly expanding.... -
Mercury Removal from Water
Mercury pollution in water is a serious threat to natural ecosystems. Various methods and technologies are in use to remove mercury from the... -
Results for Sr2RuO4
In this chapter, we focus on our results for the elementary excitations and Cooper pairing in strontium ruthenate (... -
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... -
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... -
Nonlinear superposition formulae of integrable partial differential equations by the singular manifold method
We study by the singular manifold method a few 1+1-dimensional partial differential equations which possess N-soliton solutions for arbitrary N, i.e.... -
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... -
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... -
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,... -
Theory of Cooper Pairing Due to Exchange of Spin Fluctuations
It is of general interest whether singlet high- \(T_{\rm c}\)... -
14. Third harmonic sychronization
In this chapter we will present a brief analysis of the synchronization at the third harmonic of the center VCO frequency for the third order type-II... -
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... -
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... -
Bilinear Formalism in Soliton Theory
A brief survey of the bilinear formalism discovered by Hirota is given. First, the procedure to obtain soliton solutions of nonlinear evolution... -
Extremal Properties of Random Structures
The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed... -
On the Analysis of Backtrack Proceduresfor the Colouring of Random Graphs
Backtrack search algorithms are procedures capable of deciding whether a decision problem has a solution or not through a sequence of trials and... -
Attacks and Cascades in Complex Networks
This paper reviews two problems in the security of complex networks: cascades of overload failures on nodes and range-based attacks on links.... -
Tomography and Stability of Complex Networks
We study the structure of generalized random graphs with a given degree distribution P(k), and review studies on their behavior under both random...