springer new york springer us apr 1987 (3 risultati)

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In various fields of science, notably in physics and biology, one is con fronted with periodic phenomena having a remarkable temporal structure: it is as if certain systems are periodically reset in an initial state. A paper of Van der Pol in the Philosophical Magazine of 1926 started up the investigation of this highly nonlinear type of oscillation for which Van der Pol coined the name 'relaxation oscillation'. The study of relaxation oscillations requires a mathematical analysis which differs strongly from the well-known theory of almost linear oscillations. In this monograph the method of matched asymptotic expansions is employed to approximate the periodic orbit of a relaxation oscillator. As an introduction, in chapter 2 the asymptotic analysis of Van der Pol's equation is carried out in all detail. The problem exhibits all features characteristic for a relaxation oscillation. From this case study one may learn how to handle other or more generally formulated relaxation oscillations. In the survey special attention is given to biological and chemical relaxation oscillators. In chapter 2 a general definition of a relaxation oscillation is formulated.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 240 pp. Englisch.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Tables of Contents.- 1. Stationary point processes and Palm probabilities.- 1. Stationary marked point processes.- 1.1. The canonical space of point processes on IR.- 1.2. Stationary point processes.- 1.3. Stationary marked point processes.- 1.4. Two properties of stationary point processes.- 2. Intensity.- 2.1. Intensity of a stationary point process.- 2.2. Intensity measure of a stationary marked point process.- 3. Palm probability.- 3.1. Mecke¿ s definition.- 3.2. Invariance of the Palm probability.- 3.3. Campbell¿ s formula.- 3.4. The exchange formula (or cycle formula) and Wald¿ s equality.- 4. From Palm probability to stationary probability.- 4.1. The inversion formula.- 4.2. Feller¿ s paradox.- 4.3. The mean value formulae.- 4.4. The inverse construction.- 5. Examples.- 5.1. Palm probability of a superposition of independent point processes.- 5.2. Palm probability associated with selected marks.- 5.3. Palm probability of selected transitions of a Markov chain.- 6. Local aspects of Palm probability.- 6.1. Korolyuk and Dobrushin¿ s infinitesimal estimates.- 6.2. Conditioning at a point.- 7. Characterization of Poisson processes.- 7.1. Predictable -fields.- 7.2. Stochastic intensity and Radon-Nikodym derivatives.- 7.3. Palm view at Watanabe¿ s characterization theorem.- 8. Ergodicity of point processes.- 8.1. Invariant events.- 8.2. Ergodicity under the stationary probability and its Palm probability.- 8.3. The cross ergodic theorem.- References for Part 1: Palm probabilities.- 2. Stationary queueuing systems.- 1. The G/G/1/ queue : construction of the customer stationary state.- 1.1. Loynes¿ problem.- 1.2. Existence of a finite stationary load.- 1.3. Uniqueness of the stationary load.- 1.4. Construction points.- 1.5. Initial workload and long term behaviour.- 2. Formulae for the G/G/1/ queue.- 2.1. Construction of the time-stationary workload.- 2.2. Little¿ s formulae: the FIFO case.- 2.3. Probability of emptiness.- 2.4. Takacs formulae.- 3. The G/G/s/ queue.- 3.1. The ordered workload vector.- 3.2. Existence of a finite stationary workload vector.- 3.3. Construction points.- 3.4. The busy cycle formulae.- 4. The G/G/1/0 queue.- 4.1. Definition and examples.- 4.2. Construction of an enriched probability space.- 4.3. Construction of a stationary solution.- 5. Other queueing systems.- 5.1. The G/G/ pure delay system.- 5.2. The G/G/1/ queue in random environment.- 5.3. Priorities in G/G/1/ : the vector of residual service times.- 5.4. Optimality properties of the SPRT rule.- 6. The Bedienungssysteme.- 6.1. The mechanism and the input.- 6.2. A heuristic description of the dynamics.- 6.3. The initial generalized state.- 6.4. The evolution.- 6.5. Examples.- 7. The insensitivity balance equations.- 7.1. Stability and regularity assumptions.- 7.2. Insensitivity balance equations.- 7.3. Examples.- 7.4. Assumption on the input.- 7.5. Two immediate consequences of the insensitivity balance equations.- 8. The insensitivity theorem.- 8.1. The Palm version.- 8.2. From Palm to stationary.- 8.3. The stationary version and Matthes product form.- 9. Insensitivity balance equations are necessary for insensitivity.- 9.1. The converse theorem.- 9.2. The method of stages.- 9.3. Proof of the converse theorem.- 9.4. Example.- 10. Poisson streams.- 10.1. Privileged transitions.- 10.2. Sufficient conditions for Poissonian streams.- 1. Change of scale.- 2. Proof of insensitivity.- 3. The transition marks.- 4. Proof of (8.3.5).- 5. Proof of (9.1.3).- 6. Proof of the converse theorem in the general case.- References for part 2: Stationary queueing systems.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 120 pp. Englisch.

Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -When I first proposed a series entitled Current Mammalogy to the pub lishers, they were reluctant to undertake such a project because they viewed the field of mammology as overly fragmented. At first I found this idea to be difficult to accept; however, upon reflection, I came near to agreeing with it. Although many of us work on mammals, we gen erally feel more allegiance to our specialties, such as systematics, ge netics, cytogenetics, ecology, behavior, pest control, paleontology, wildlife management, primatology, and marine mammalogy, than we do to the general field of mammalogy. However, rather than becoming discour aged from pursuing this project, I became more certain than ever that a series such as Current Mammalogy was needed. We hope to make this series a place where specialists can present their ideas not only to other members of their specialty, but to those outside the area as well. Hopefully, this exchange of ideas will be a mutually beneficial exercise. The Editorial Board of Current Mammalogy has decided to keep the range of subjects in each volume as broad as possible rather than concentrating on one or two topics, in the hope that this will keep the series as useful as possible to the broadest range of readers.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 544 pp. Englisch.