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  1. Optimizing a Production Line

    The simple production line considered in this chapter is shown in Fig. 20.1. This problem has been adapted from an example in [1]. This situation is...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  2. Queuing I: One-Step Calculations

    In this chapter we show situations where simulation can produce the same results as fuzzy calculations which employ the extension principle. We argue...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  3. Simulation Programs

    In this chapter we present some of the GPSS programs used in Chaps. 9–26. We had to omit many programs in order to keep this chapter. less that 20...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  4. Summary and Conclusions

    The first objective of this book is to explain how many systems naturally become fuzzy systems. The second objective is to show how regular (crisp)...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  5. Method of Invariant Grids

    The method of invariant grids is developed for a grid-based computation of invariant manifolds.
    Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics
    Chapter

  6. Mathematical Notation and Some Terminology

    – The operator L from space W to space E: L : W → E
    Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics
    Chapter

  7. References

    Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics
    Chapter

  8. Invariance Equation in Differential Form

    Definition of invariance in terms of motions and trajectories assumes, at least, existence and uniqueness theorems for solutions of the original...
    Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics
    Chapter

  9. Entropy, Quasiequilibrium, and Projectors Field

    Projection operators Py contribute both to the invariance equation (3.2), and to the film extension of the dynamics (4.5). Limiting results, exact...
    Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics
    Chapter

  10. 1 Introduction

    The class of block-oriented nonlinear models includes complex models which are composed of linear dynamic systems and nonlinear static elements....
    Andrzej Janczak in Identification of Nonlinear Systems Using Neural Networks and Polynomial Models
    Chapter

  11. Results for Sr2RuO4

    In this chapter, we focus on our results for the elementary excitations and Cooper pairing in strontium ruthenate (...
    Dirk Manske in Theory of Unconventional Superconductors
    Chapter

  12. 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

  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. Machine Shop I

    The queuing system in this chapter is shown in Fig. 11.1. This application was adopted from a problem in ([1], p.594). We continue this problem in...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  16. Inventory Control II

    This chapter continues the inventory control problem studied in the previous chapter. The new system is shown in Fig. 17.1. We have added two things...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  17. Project Network Model

    The project network diagram is in Fig. 26.1. This problem is modelled after an example in [2]. The project consists of various jobs that must be...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  18. Queuing II: No One-Step Calculations

    In this chapter we will study the fuzzy system shown in Fig. 5.1 now reproduced as Fig. 9.1. This example was adapted from an example in [1]. The...
    James J. Buckley in Simulating Fuzzy Systems
    Chapter

  19. 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....
    Micheline Musette in Direct and Inverse Methods in Nonlinear Evolution Equations
    Chapter

  20. 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
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