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  • Sprache: Englisch

    Verlag: Springer, 2023

    9819922453 / 9789819922451

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    9819922437 / 9789819922437

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  • Sprache: Englisch

    Verlag: Springer Nature Singapore, 2023

    9819922437 / 9789819922437

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    Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.

  • Sprache: Englisch

    Verlag: Springer, 2021

    9811635439 / 9789811635434

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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  • Sprache: Englisch

    Verlag: Springer, 2022

    9811635463 / 9789811635465

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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  • Sprache: Englisch

    Verlag: Springer, 2021

    9811635439 / 9789811635434

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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  • Sprache: Englisch

    Verlag: Springer, 2024

    9819922461 / 9789819922468

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    Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.

  • Sprache: Englisch

    Verlag: Springer, 2024

    9819922461 / 9789819922468

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  • Sprache: Englisch

    Verlag: Springer, 2023

    9819922437 / 9789819922437

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    Zustand: New. 1st ed. 2023 edition NO-PA16APR2015-KAP.

  • Sprache: Englisch

    Verlag: Springer Verlag, Singapore, Singapore, 2026

    9819538769 / 9789819538768

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    Hardcover. Zustand: new. Hardcover. This book aims to explore the scale invariance present in certain nonlinear dynamical systems. We will discuss both ordinary differential equations (ODEs) and discrete-time maps. The loss of predictability in the temporal evolution of nearby initial conditions, and the resulting exponential divergence of their trajectories in phase space, leads to the concept of chaos. Some observables studied in nonlinear systems exhibit characteristics that can be described through scaling laws, giving rise to scale invariance. Several nonlinear systems present temporal evolutions that can be described using scaling formalism. As control parameters vary, physical quantities and phase space observables can be characterized by power laws. These, in turn, may lead to the definition of critical exponents, resulting in universal behaviors. The application of this formalism has been widely accepted in the scientific community in the investigation of various problems. Therefore, in writing this book, I aimed to compile research results on some nonlinear systems, partially employing the scaling formalism, in a way that could be presented at the undergraduate and graduate levels. At the same time, the text was designed to be original enough to contribute to the existing literature without excessive overlap with topics already well established in textbooks. Most chapters in the book include a set of review exercises. Students are encouraged to work through them. Some exercises are analytical, others are numerical, and some involve a degree of computational complexity. This book aims to explore the scale invariance present in certain nonlinear dynamical systems. Some observables studied in nonlinear systems exhibit characteristics that can be described through scaling laws, giving rise to scale invariance. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

  • Sprache: Englisch

    Verlag: Springer, 2024

    9819922461 / 9789819922468

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    Taschenbuch. Zustand: Neu. Dynamical Phase Transitions in Chaotic Systems | Edson Denis Leonel | Taschenbuch | Nonlinear Physical Science | xvi | Englisch | 2024 | Springer | EAN 9789819922468 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

  • Sprache: Englisch

    Verlag: Springer Nature Singapore, 2022

    9811635463 / 9789811635465

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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    Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 276 | Sprache: Englisch | Produktart: Bücher | This book discusses many of the common scaling properties observed in some nonlinear dynamical systems mostly described by mappings. The unpredictability of the time evolution of two nearby initial conditions in the phase space together with the exponential divergence from each other as time goes by lead to the concept of chaos. Some of the observables in nonlinear systems exhibit characteristics of scaling invariance being then described via scaling laws. From the variation of control parameters, physical observables in the phase space may be characterized by using power laws that many times yield into universal behavior. The application of such a formalism has been well accepted in the scientific community of nonlinear dynamics. Therefore I had in mind when writing this book was to bring together few of the research results in nonlinear systems using scaling formalism that could treated either in under-graduation as well as in the post graduation in the several exact programs but no earlier requirements were needed from the students unless the basic physics and mathematics. At the same time, the book must be original enough to contribute to the existing literature but with no excessive superposition of the topics already dealt with in other text books. The majority of the Chapters present a list of exercises. Some of them are analytic and others are numeric with few presenting some degree of computational complexity.

  • Sprache: Englisch

    Verlag: Springer, 2022

    9811635463 / 9789811635465

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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  • Sprache: Englisch

    Verlag: Springer, 2021

    9811635439 / 9789811635434

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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    Zustand: New. 1st ed. 2021 edition NO-PA16APR2015-KAP.

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    Sprache: Englisch

    Verlag: Springer, 2022

    9811635463 / 9789811635465

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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    Taschenbuch. Zustand: Neu. Scaling Laws in Dynamical Systems | Edson Denis Leonel | Taschenbuch | Nonlinear Physical Science | xxvii | Englisch | 2022 | Springer | EAN 9789811635465 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

  • Sprache: Englisch

    Verlag: Springer Nature Singapore, 2023

    9819922437 / 9789819922437

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    Anbieter: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, DeutschlandBUCHSERVICE / ANTIQUARIAT Lars Lutzer

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    Hardcover. Zustand: gut. 2023. Dynamical Phase Transitions in Chaotic Systems In deutscher Sprache. pages.

  • Sprache: Englisch

    Verlag: Springer Nature, 2023

    9819922437 / 9789819922437

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  • Sprache: Englisch

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    9819538769 / 9789819538768

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  • Sprache: Englisch

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    Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.

  • Sprache: Englisch

    Verlag: Springer, 2023

    9819922437 / 9789819922437

    • Hardcover

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    Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.

  • Sprache: Englisch

    Verlag: Springer Nature, 2021

    9811635439 / 9789811635434

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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    Hardcover. Zustand: Brand New. 274 pages. 9.25x6.10x9.21 inches. In Stock.

  • Sprache: Englisch

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    9811635463 / 9789811635465

    Serie: Buch 12 von 14 - Nonlinear Physical Science

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    Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book discusses many of the common scaling properties observed in some nonlinear dynamical systems mostly described by mappings. The unpredictability of the time evolution of two nearby initial conditions in the phase space together with the exponential divergence from each other as time goes by lead to the concept of chaos. Some of the observables in nonlinear systems exhibit characteristics of scaling invariance being then described via scaling laws. From the variation of control parameters, physical observables in the phase space may be characterized by using power laws that many times yield into universal behavior. The application of such a formalism has been well accepted in the scientific community of nonlinear dynamics. Therefore I had in mind when writing this book was to bring together few of the research results in nonlinear systems using scaling formalism that could treated either in under-graduation as well as in the post graduation in the several exact programs but no earlier requirements were needed from the students unless the basic physics and mathematics. At the same time, the book must be original enough to contribute to the existing literature but with no excessive superposition of the topics already dealt with in other text books. The majority of the Chapters present a list of exercises. Some of them are analytic and others are numeric with few presenting some degree of computational complexity.

  • Sprache: Englisch

    Verlag: Springer, 2021

    9811635439 / 9789811635434

    Serie: Buch 12 von 14 - Nonlinear Physical Science

    • Hardcover

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    Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book discusses many of the common scaling properties observed in some nonlinear dynamical systems mostly described by mappings. The unpredictability of the time evolution of two nearby initial conditions in the phase space together with the exponential divergence from each other as time goes by lead to the concept of chaos. Some of the observables in nonlinear systems exhibit characteristics of scaling invariance being then described via scaling laws. From the variation of control parameters, physical observables in the phase space may be characterized by using power laws that many times yield into universal behavior. The application of such a formalism has been well accepted in the scientific community of nonlinear dynamics. Therefore I had in mind when writing this book was to bring together few of the research results in nonlinear systems using scaling formalism that could treated either in under-graduation as well as in the post graduation in the several exact programs but no earlier requirements were needed from the students unless the basic physics and mathematics. At the same time, the book must be original enough to contribute to the existing literature but with no excessive superposition of the topics already dealt with in other text books. The majority of the Chapters present a list of exercises. Some of them are analytic and others are numeric with few presenting some degree of computational complexity.

  • Sprache: Englisch

    Verlag: Springer Nature, 2025

    9819538769 / 9789819538768

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    Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book aims to explore the scale invariance present in certain nonlinear dynamical systems. We will discuss both ordinary differential equations (ODEs) and discrete-time maps. The loss of predictability in the temporal evolution of nearby initial conditions, and the resulting exponential divergence of their trajectories in phase space, leads to the concept of chaos. Some observables studied in nonlinear systems exhibit characteristics that can be described through scaling laws, giving rise to scale invariance. Several nonlinear systems present temporal evolutions that can be described using scaling formalism. As control parameters vary, physical quantities and phase space observables can be characterized by power laws. These, in turn, may lead to the definition of critical exponents, resulting in universal behaviors. The application of this formalism has been widely accepted in the scientific community in the investigation of various problems. Therefore, in writing this book, I aimed to compile research results on some nonlinear systems, partially employing the scaling formalism, in a way that could be presented at the undergraduate and graduate levels. At the same time, the text was designed to be original enough to contribute to the existing literature without excessive overlap with topics already well established in textbooks. Most chapters in the book include a set of review exercises. Students are encouraged to work through them. Some exercises are analytical, others are numerical, and some involve a degree of computational complexity.

  • Sprache: Englisch

    Verlag: Springer, 2024

    9819922461 / 9789819922468

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    Softcover. Zustand: gut. 2024. Dynamical Phase Transitions in Chaotic Systems (Nonlinear Physical Science) In deutscher Sprache. pages.

  • Sprache: Englisch

    Verlag: Springer, Berlin, Springer Nature Singapore, Higher Education Press Limited Company, Springer, 2024

    9819922461 / 9789819922468

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    Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering. 74 pp. Englisch.

  • Sprache: Englisch

    Verlag: Springer Nature Singapore Jul 2023, 2023

    9819922437 / 9789819922437

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    Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering. 92 pp. Englisch.

  • Sprache: Englisch

    Verlag: Springer Verlag GmbH, 2024

    9819922461 / 9789819922468

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