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1.

図書
図書
1. Nonlinear system techniques and applications (cloth : alk. paper)
Julius S. Bendat
出版情報: New York : Wiley, c1998  xiii, 474 p. ; 24 cm
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Linear Systems, Random Data
Zero-Memory Nonlinear Systems
Direct and Reverse MI/SO
Techniques for Analysis and Identification of Nonlinear Systems
Parallel Linear and Nonlinear Systems
Determination of Physical Parameters with Memory in Nonlinear Systems
Nonlinear System Response Properties of a Naval Frigate from Measured Ocean Engineering Data
Nonlinear System Response Properties of a Naval Barge from Measured Ocean Engineering Data
Bilinear and Trilinear Systems
Input Output Relations for Bilinear and Trilinear Systems
References
Index
Glossary of Symbols
Linear Systems, Random Data
Zero-Memory Nonlinear Systems
Direct and Reverse MI/SO
2.

図書
図書
2. Thinking in complexity : the complex dynamics of matter, mind, and mankind. 3rd rev. and enl. ed
Klaus Mainzer
出版情報: Berlin ; Tokyo : Springer, c1997  xiv, 361 p. ; 25 cm
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3.

図書
図書
3. Lectures on non-linear plasma kinetics (: gw ; : us)
V.N. Tsytovich ; translation edited by D. ter Haar
出版情報: Berlin : Springer, c1995  xi, 376 p. ; 25 cm
シリーズ名: Springer series on atoms + plasmas ; 17
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4.

図書
図書
4. Chemical oscillations and instabilities : non-linear chemical kinetics (: pbk)
Peter Gray and Stephen K. Scott
出版情報: Oxford [England] : Clarendon Press , New York : Oxford University Press, 1990  xvi, 453 p. ; 24 cm
シリーズ名: International series of monographs on chemistry ; 21
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Introduction / 1：
The Techniques / Part I：
Oscillations in a Closed Isothermal System / 2：
Oscillations in a Closed Isothermal System: Mathematical Analysis / 3：
Thermokinetic Oscillations in a Closed System / 4：
Hopf Bifurcations, the Growth of Small Oscillations, Relaxation Oscillations, and Excitability / 5：
Autocatalysis in Well-Stirred Systems: the Isothermal CSTR / 6：
Reaction in a Non-Isothermal CSTR: Stationary States and Singularity Theory / 7：
Oscillatory Behavior in the Isothermal CSTR: Autocatalytic Systems / 8：
Autocatalytic Reactions in Plug-Flow and Diffusion Reactors / 9：
Chemical Diffusion Pattern Formation (Turing Structures) / 10：
Travelling Waves / 11：
Heterogeneous Reactions / 12：
Complex Oscillations and Chemical Chaos / 13：
Experiments / Part II：
Experimental Systems 1: Solution-Phase Reactions / 14：
Experimental Systems / 15：
Introduction / 1：
The Techniques / Part I：
Oscillations in a Closed Isothermal System / 2：
5.

図書
図書
5. Nonlinear estimation (: us ; : gw)
Gavin J.S. Ross
出版情報: New York ; Tokyo : Springer-Verlag, c1990  viii, 189 p. ; 25 cm
シリーズ名: Springer series in statistics
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6.

図書
図書
6. Dynamical systems with saturation nonlinearities : analysis and design (: gw ; : us)
Derong Liu and Anthony N. Michel
出版情報: London ; Berlin ; New York : Springer-Verlag, c1994  xiv, 191 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 195
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7.

図書
図書
7. Nonlinear systems. 2nd ed.
Hassan K. Khalil
出版情報: Upper Saddle River, NJ : Prentice Hall, c1996  xii, 734 p. ; 24 cm
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Features: Builds in mathematical sophistication from chapter to chapter
Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks
Covers the basic elements of Lyapunov stability in a separate chapter
Covers topics ignored by other similar texts, e.g.: averaging
Single perturbation center manifold theorem
New--reorganizes content into three distinct parts
Covers nonlinear system analysis / Part I：
Discusses feedback systems / Part II：
Considers feedback design / Part III：
New--expands coverage of: input-output stability
Feedback linearization
Small-theorem
New--adds coverage of: passivity approach
Back stepping control design
Sliding mode control
Numerical construction of phase portraits
Comparison principle
Comparison method
Input-output linearization
Differential geometric approach
Extended linearization
Features problems that range in difficulty from simple drill problems to advanced (research-level) problems
New--adds over 100 new problems
Features: Builds in mathematical sophistication from chapter to chapter
Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks
Covers the basic elements of Lyapunov stability in a separate chapter
8.

図書
図書
8. Binary polynomial transforms and nonlinear digital filters
S. Agaian, J. Astola, K. Egiazarian
出版情報: New York : Dekker, c1995  xix, 302 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 191
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Preface
List of Symbols and Abbreviations
Introduction
Binary Polynomial Transforms / I：
Binary Polynomial Arithmetical and Logical Functions and Matrices / 1：
Rademacher Functions and Matrices / 1.1：
Arithmetical and Logical Binary Polynomial Functions. Constructions Using One Binary Operation / 1.3：
Walsh functions and matrices / 1.3.1：
Polynomial logical functions and matrices / 1.3.2：
Binary Polynomial Logical Functions and Matrices. Constructions Using Two Operations / 1.4：
Binary Polynomial Logical Functions and Matrices. Extensions of Dimension / 1.5：
Interval splicing matrices / 1.5.1：
Interval absorbing matrices / 1.5.2：
Fast Algorithms and Complexity of Binary Polynomial Transforms / 2：
General Approach to the Fast Algorithms of Binary Polynomial Transforms / 2.1：
Fast Rademacher Transforms / 2.3：
Fast Walsh Transforms / 2.4：
Fast Conjunctive Transforms / 2.5：
Fast Interval Transforms / 2.6：
Fast Disjunctive-Conjunctive Transforms / 2.7：
Lower Bounds of the Complexity of Some Binary Polynomial Transforms / 2.8：
Logical Correlations and Binary Polynomial Transforms / 3：
Arithmetical and Logical Correlation Functions / 3.1：
Arithmetical auto- and cross-correlation functions / 3.2.1：
Logical auto- and cross-correlation functions / 3.2.2：
Relations between the arithmetical and logical auto-correlation functions / 3.2.3：
General Auto- and Cross-Correlation Functions / 3.3：
Definitions / 3.3.1：
Properties of logical [rho]-correlation / 3.3.2：
Transform Method for Computation of Cross-Correlation / 3.4：
Computation of general cross-correlation / 3.4.1：
Computation of logical cross-correlation based on any Boolean operation / 3.4.2：
Power-Spectrum and General Wiener-Khinchine Theorem / 3.5：
Comments / 3.6：
Binary Polynomial Transforms and Digital Logic / II：
Spectral Methods in Analysis of Boolean Functions / 4：
Linear Boolean Functions / 4.1：
Positive (Monotone) Boolean Functions / 4.3：
Selfdual Boolean Functions / 4.4：
Symmetric Boolean Functions / 4.5：
Analysis of Fictitious Variables / 4.6：
Partial Derivatives of Boolean Functions / 4.7：
Activities of the Variables of Boolean Functions / 4.8：
Chow parameters and weighted Chow parameters of a Boolean function / 4.8.1：
Transfer from One Normal Form to Another and the Logical Operations over the Normal Forms / 4.9：
Connections between normal forms of Boolean functions / 4.9.1：
Logical operations over normal forms / 4.9.2：
Spectral Methods in Minimization of Boolean Functions / 5：
General Spectral Algorithms for Construction of the Abbreviated Disjunctive and Conjunctive Normal Forms of Boolean Function / 5.1：
Deadlock Tests and Abbreviated Normal Forms of Boolean Functions / 5.3：
Unconditional deadlock tests for tables / 5.3.1：
Abbreviated disjunctive and conjunctive normal forms of Boolean functions with a small number of ones (zeros) / 5.3.2：
Deadlock and Minimal Disjunctive and Conjunctive Normal Forms of Boolean Functions / 5.4：
Minimization of Positive (Monotone) Boolean Functions / 5.5：
Minimal disjunctive and conjunctive normal forms of positive Boolean functions / 5.5.1：
Minimization of the dual of a positive Boolean function / 5.5.2：
Quasi-Minimization of Boolean Functions / 5.6：
Reed-Muller Polynomials of Boolean Functions / 5.7：
Spectral approach to the construction of Reed-Muller polynomials / 5.7.1：
Spectral approach to generalized Reed-Muller polynomials construction / 5.7.2：
Applications in Nonlinear Digital Filtering / 5.8：
Median and Order Statistic Filters / 6：
Standard Median and Order Statistic Filters / 6.1：
Standard median filters in real domain / 6.2.1：
Standard median filters in binary domain / 6.2.2：
Standard median filters in complex domain / 6.2.3：
Order statistic filters / 6.2.4：
Two-dimensional median and order statistic filters / 6.2.5：
Histogram-type Algorithms of Fast Median and Order Statistic Filtering / 6.3：
Radix algorithms for finding median and order statistics / 6.3.1：
Histogram-type algorithms for one-dimensional running median and order statistic filtering / 6.3.2：
Histogram-type algorithms for two-dimensional running median and order statistic filtering / 6.3.3：
Decomposition Algorithms of Median and Order Statistic Filtering / 6.4：
Decomposition algorithms for finding median and order statistic / 6.4.1：
Decompositional algorithms for running median and order statistic filtering / 6.4.2：
Weighted Order Statistic and Stack Filters / 7：
Weighted Median and Weighted Order Statistic Filters / 7.1：
Weighted median filters in the real domain / 7.1.1：
Weighted median filters in binary domain / 7.1.2：
Weighted median filters in complex domain / 7.1.3：
Weighted order statistic filters / 7.1.4：
Histogram-Type Algorithms for Finding Weighted Order Statistics / 7.2：
Histogram-Type Algorithms for Running Weighted Order Statistic Filtering / 7.3：
Running algorithm for linearly distributed weights / 7.3.1：
Running algorithm for exponentially distributed weights / 7.3.2：
Running algorithm for combination of weights / 7.3.3：
Histogram-type algorithms for two-dimensional running weighted order statistic filtering / 7.3.4：
Decomposition Algorithms of Weighted Order Statistic Filtering / 7.4：
Stack Filters / 7.5：
Stack Filters and Threshold Decomposition / 7.5.1：
Decomposition Methods for Stack Filtering / 7.6：
Decomposition methods of stack filtering for fixed window / 7.6.1：
Decomposition methods of stack filtering for running window / 7.6.2：
Spectral Approach to Stack and Weighted Order Statistic Filters / 7.7：
Statistical Properties of Stack Filters / 8：
Noise Attenuation for Order Statistics / 8.1：
Maximum Likelihood Estimators / 8.3：
Output Distribution Functions of Weighted Order Statistic and Stack Filters / 8.4：
Output distribution functions of a stack filter / 8.4.1：
Output distribution function of a weighted order statistic filter / 8.4.2：
Joint Distributions of Stack Filters / 8.5：
Definitions and notations / 8.5.1：
Joint cumulative distribution of L stack filters / 8.5.2：
Spectral Approach to the Calculation of the Joint Distribution of Stack Filters / 8.6：
Selection Probabilities of Stack Filters / 8.7：
Definitions and properties / 8.7.1：
Selection probabilities of weighted order statistic filters / 8.7.2：
Partial derivatives of PBF and selection probability sets of stack filters / 8.7.3：
Activities of variables of Boolean functions and the combination matrix of continuous stack filters / 8.7.4：
Weighted activities of variables and joint selection probability matrix of stack filters / 8.7.5：
Sample selection probability vectors and weighted Chow parameters / 8.7.6：
Spectral Approach to the Calculation of Selection Probabilities / 8.8：
Construction of selection probability sets for continuous stack filters / 8.8.1：
Construction of joint selection probability matrix for continuous stack and WOS filters / 8.8.2：
Construction of sample selection probability vector for continuous stack filters / 8.8.3：
Construction of rank selection probability vector for continuous stack filters / 8.8.4：
Index / 8.9：
Preface
List of Symbols and Abbreviations
Introduction
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