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  • 1
    Book
    Book
    Chaos, fractals, and noise : stochastic aspects of dynamics (1994)
    New York [u.a.] :Springer,
    Details
    UID:
    almahu_BV008817489
    Format: XIV, 472 S. : , graph. Darst.
    Edition: 2. ed.
    ISBN: 0-387-94049-9 , 3-540-94049-9
    Series Statement: Applied mathematical sciences 97
    Content: In recent years there has been an explosive growth in the study of physical, biological, and economic systems that can be profitably studied using densities. Because of the general inaccessibility of the mathematical literature to the nonspecialist, little diffusion of the applicable mathematics into the study of these "chaotic" systems has taken place. This book will help bridge that gap. To show how densities arise in simple deterministic systems, the authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples have been drawn from many fields to illustrate the utility of the concepts and techniques presented, and the ideas in this book should thus prove useful in the study of a number of applied sciences. The authors assume that the reader has a knowledge of advanced calculus and differential equations. Basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed. Physicists, chemists, and biomathematicians studying chaotic behavior will find this book of value. It will also be a useful reference or text for mathematicians and graduate students working in ergodic theory and dynamical systems.
    Former: 1. Aufl. u.d.T. Lasota, Andrzej Probabilistic properties of deterministic systems
    Language: English
    Subjects: Mathematics
    RVK:
    SK 800
    RVK:
    SK 820
    RVK:
    SK 880
    Keywords: Chaotisches System ; Dynamisches System ; Dichte ; Chaotisches System ; Fraktal ; Stochastischer Prozess ; Chaos ; Stochastischer Prozess ; Rauschen ; Stochastischer Prozess ; Lehrbuch
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005833482&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    Author information: Lasota, Andrzej, 1932-2006.
    Library Location Call Number Volume/Issue/Year Availability
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    Book
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  • 2
    Online Resource
    Online Resource
    Probabilistic properties of deterministic systems / (1985)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almafu_9960119807302883
    Format: 1 online resource (x, 358 pages) : , digital, PDF file(s).
    ISBN: 0-511-89747-2
    Content: This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , English
    Additional Edition: ISBN 0-521-09096-2
    Additional Edition: ISBN 0-521-30248-X
    Language: English
    URL: Volltext
    URL: https://doi.org/10.1017/CBO9780511897474
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    HU Berlin
    FU Berlin
    UB Potsdam
  • 3
    Book
    Book
    Probabilistic properties of deterministic systems / (1985)
    Cambridge [u.a.] :Cambridge Univ. Press,
    Details
    UID:
    almafu_BV006397546
    Format: X, 358 S. : , graph. Darst.
    Edition: 1. publ.
    ISBN: 0-521-30248-X
    Note: 2. Aufl. u.d.T.: Lasota, Andrzej: Chaos, fractals, and noise
    Language: English
    Subjects: Mathematics
    RVK:
    SK 800
    RVK:
    SK 880
    Keywords: Systemanalyse ; Wahrscheinlichkeitstheorie ; Systemanalyse ; Wahrscheinlichkeitsrechnung ; Wahrscheinlichkeitstheorie ; Chaotisches System ; Dichte ; Deterministisches System ; Stochastik ; Deterministisches System
    Author information: Lasota, Andrzej 1932-2006
    Library Location Call Number Volume/Issue/Year Availability
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    Book
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    TU Berlin get availability status
  • 4
    Book
    Book
    Probalistic properties of deterministic systems (1985)
    Cambridge 〈〈[u.a.]〉〉 : Cambridge Univ. Pr.
    Details
    UID:
    b3kat_BV024420737
    Format: X, 358 S. , graph. Darst.
    Language: English
    Author information: Lasota, Andrzej 1932-2006
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    Stabi Berlin get availability status
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  • 5
    Book
    Book
    Chaos, fractals, and noise : stochastic aspects of dynamics (1994)
    New York [u.a.] : Springer
    Details
    UID:
    b3kat_BV008817489
    Format: XIV, 472 S. , graph. Darst.
    Edition: 2. ed.
    ISBN: 0387940499 , 3540940499
    Series Statement: Applied mathematical sciences 97
    Content: In recent years there has been an explosive growth in the study of physical, biological, and economic systems that can be profitably studied using densities. Because of the general inaccessibility of the mathematical literature to the nonspecialist, little diffusion of the applicable mathematics into the study of these "chaotic" systems has taken place. This book will help bridge that gap. To show how densities arise in simple deterministic systems, the authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples have been drawn from many fields to illustrate the utility of the concepts and techniques presented, and the ideas in this book should thus prove useful in the study of a number of applied sciences. The authors assume that the reader has a knowledge of advanced calculus and differential equations. Basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed. Physicists, chemists, and biomathematicians studying chaotic behavior will find this book of value. It will also be a useful reference or text for mathematicians and graduate students working in ergodic theory and dynamical systems.
    Former: 1. Aufl. u.d.T. Lasota, Andrzej Probabilistic properties of deterministic systems
    Language: English
    Subjects: Mathematics
    RVK:
    SK 800
    RVK:
    SK 820
    RVK:
    SK 880
    Keywords: Chaotisches System ; Dynamisches System ; Dichte ; Chaotisches System ; Fraktal ; Stochastischer Prozess ; Chaos ; Stochastischer Prozess ; Rauschen ; Stochastischer Prozess
    URL: Inhaltsverzeichnis
    Author information: Lasota, Andrzej 1932-2006
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    BTU Cottbus get availability status
    TU Berlin get availability status
  • 6
    Online Resource
    Online Resource
    Chaos, Fractals, and Noise : Stochastic Aspects of Dynamics (1994)
    New York, NY :Springer New York :
    Details
    UID:
    almahu_9947362823002882
    Format: XIV, 474 p. , online resource.
    Edition: Second Edition.
    ISBN: 9781461242864
    Series Statement: Applied Mathematical Sciences, 97
    Content: The first edition of this book was originally published in 1985 under the ti­ tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma­ turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe­ nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781461287230
    Language: English
    Subjects: Mathematics
    RVK:
    SK 800
    RVK:
    SK 820
    RVK:
    SK 880
    DOI: 10.1007/978-1-4612-4286-4
    URL: http://dx.doi.org/10.1007/978-1-4612-4286-4
    URL: Volltext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    HU Berlin
    BTU Cottbus
  • 7
    Book
    Book
    Chaos, fractals, and noise : stochastic aspects of dynamics (1994)
    New York [u.a.] :Springer,
    Details
    UID:
    almafu_BV008817489
    Format: XIV, 472 S. : , graph. Darst.
    Edition: 2. ed.
    ISBN: 0-387-94049-9 , 3-540-94049-9
    Series Statement: Applied mathematical sciences 97
    Content: In recent years there has been an explosive growth in the study of physical, biological, and economic systems that can be profitably studied using densities. Because of the general inaccessibility of the mathematical literature to the nonspecialist, little diffusion of the applicable mathematics into the study of these "chaotic" systems has taken place. This book will help bridge that gap. To show how densities arise in simple deterministic systems, the authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples have been drawn from many fields to illustrate the utility of the concepts and techniques presented, and the ideas in this book should thus prove useful in the study of a number of applied sciences. The authors assume that the reader has a knowledge of advanced calculus and differential equations. Basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed. Physicists, chemists, and biomathematicians studying chaotic behavior will find this book of value. It will also be a useful reference or text for mathematicians and graduate students working in ergodic theory and dynamical systems.
    Former: 1. Aufl. u.d.T. Lasota, Andrzej Probabilistic properties of deterministic systems
    Language: English
    Subjects: Mathematics
    RVK:
    SK 800
    RVK:
    SK 820
    RVK:
    SK 880
    Keywords: Chaotisches System ; Dynamisches System ; Dichte ; Chaotisches System ; Fraktal ; Stochastischer Prozess ; Chaos ; Stochastischer Prozess ; Rauschen ; Stochastischer Prozess
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005833482&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    Author information: Lasota, Andrzej 1932-2006
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    FU Berlin get availability status
  • 8
    Book
    Book
    Chaos, fractals, and noise : stochastic aspects of dynamics; 97 (1994)
    Berlin u.a. :Springer,
    Details
    UID:
    kobvindex_ZIB000000361
    Format: 472 S.
    Edition: 2nd ed.
    ISBN: 3-540-94049-9
    Series Statement: Applied mathematical sciences 97
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