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  • 1
    UID:
    almafu_BV048450355
    Umfang: xv, 236 Seiten : , Illustrationen, Diagramme.
    ISBN: 978-3-030-91031-0
    Serie: Undergraduate lecture notes in physics
    Inhalt: This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.
    Anmerkung: Part I Introduction.- Dynamical Systems.- Non-Chaotic Continuous Dynamics.- Part II Methods.- Defining and Measuring Chaos.- Bifurcations and Routes to Chaos.- Entropy and Dimension.- Delay Coordinates.- Information Across Timeseries.- Part III Applications.- Billiards, Conservative Systems and Ergodicity.- Forced Oscillators and Synchronisation.- Networds, Agent-Based Models and Epidemics.- Extended Systems and Spatiotemporal Chaos.- Nonlinear Dynamics of Climate & Climate Change.
    Weitere Ausg.: Erscheint auch als Online-Ausgabe ISBN 978-3-030-91032-7
    Sprache: Englisch
    Fachgebiete: Physik , Mathematik
    RVK:
    RVK:
    Schlagwort(e): Nichtlineare Dynamik
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Cham :Springer International Publishing :
    UID:
    almahu_9949272607602882
    Umfang: XV, 236 p. 116 illus., 103 illus. in color. , online resource.
    Ausgabe: 1st ed. 2022.
    ISBN: 9783030910327
    Serie: Undergraduate Lecture Notes in Physics,
    Inhalt: This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.
    Anmerkung: Part I Introduction -- Dynamical Systems -- Non-Chaotic Continuous Dynamics -- Part II Methods -- Defining and Measuring Chaos -- Bifurcations and Routes to Chaos -- Entropy and Dimension -- Delay Coordinates -- Information Across Timeseries -- Part III Applications -- Billiards, Conservative Systems and Ergodicity -- Forced Oscillators and Synchronisation -- Networds, Agent-Based Models and Epidemics -- Extended Systems and Spatiotemporal Chaos -- Nonlinear Dynamics of Climate & Climate Change.
    In: Springer Nature eBook
    Weitere Ausg.: Printed edition: ISBN 9783030910310
    Weitere Ausg.: Printed edition: ISBN 9783030910334
    Sprache: Englisch
    Fachgebiete: Physik , Mathematik
    RVK:
    RVK:
    URL: Volltext  (URL des Erstveröffentlichers)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    UID:
    gbv_274015897
    Umfang: 130 S , graph. Darst
    Anmerkung: Göttingen, Univ., Diss., 1987
    Sprache: Unbestimmte Sprache
    Schlagwort(e): Hochschulschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 4
    UID:
    gbv_1766116132
    Umfang: VIII, 102 Seiten , Illustrationen, Diagramme
    Inhalt: Selfsustained oscillations are some of the most commonly observed phenomena in biological systems. They emanate from non-linear systems in a heterogeneous environment and can be described by the theory of dynamical systems. Part of this theory considers reduced models of the oscillator dynamics by means of amplitudes and a phase variable. Such variables are highly attractive for theoretical and experimental studies. Theoretically these variables correspond to an integrable linearization of the generally non-linear system. Experimentally, there exist well established approaches to extract phases from oscillator signals. Notably, one can define phase models also for networks of oscillators. One highly active field examines effects of non-local coupling among oscillators, which is thought to play a key role in networks with strong coupling. The dissertation introduces and expands the knowledge about high-order phase coupling in networks of oscillators. Mathematical calculations consider the Stuart-Landau oscillator. ...
    Anmerkung: Dissertation Universität Potsdam 2021
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Gengel, Erik Direct and inverse problems of network analysis Potsdam, 2021
    Sprache: Englisch
    Schlagwort(e): Hochschulschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 5
    UID:
    b3kat_BV001044133
    Umfang: 130 S. , Ill., graph. Darst.
    Anmerkung: Göttingen, Univ., Diss., 1987
    Sprache: Deutsch
    Schlagwort(e): Nichtlineare Schwingung ; Resonanz ; Resonanz ; Anharmonischer Oszillator ; Torsion ; Anharmonischer Oszillator ; Anharmonischer Oszillator ; Hochschulschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 6
    UID:
    almafu_BV001044133
    Umfang: 130 S. : Ill., graph. Darst.
    Anmerkung: Göttingen, Univ., Diss., 1987
    Sprache: Deutsch
    Schlagwort(e): Nichtlineare Schwingung ; Resonanz ; Resonanz ; Anharmonischer Oszillator ; Torsion ; Anharmonischer Oszillator ; Anharmonischer Oszillator ; Hochschulschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 7
    UID:
    almahu_BV001044133
    Umfang: 130 S. : Ill., graph. Darst.
    Anmerkung: Göttingen, Univ., Diss., 1987
    Sprache: Deutsch
    Schlagwort(e): Nichtlineare Schwingung ; Resonanz ; Resonanz ; Anharmonischer Oszillator ; Torsion ; Anharmonischer Oszillator ; Anharmonischer Oszillator ; Hochschulschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 8
    UID:
    gbv_1795598700
    Umfang: 1 Online-Ressource (XV, 236 Seiten)
    ISBN: 9783030910327
    Serie: Undergraduate lecture notes in physics
    Inhalt: This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.
    Anmerkung: Part I Introduction -- Dynamical Systems -- Non-Chaotic Continuous Dynamics -- Part II Methods -- Defining and Measuring Chaos -- Bifurcations and Routes to Chaos -- Entropy and Dimension -- Delay Coordinates -- Information Across Timeseries -- Part III Applications -- Billiards, Conservative Systems and Ergodicity -- Forced Oscillators and Synchronisation -- Networds, Agent-Based Models and Epidemics -- Extended Systems and Spatiotemporal Chaos -- Nonlinear Dynamics of Climate & Climate Change.
    Weitere Ausg.: ISBN 9783030910310
    Weitere Ausg.: ISBN 9783030910334
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Datseris, George Nonlinear dynamics Cham : Springer, 2022 ISBN 9783030910310
    Sprache: Englisch
    Fachgebiete: Physik
    RVK:
    Schlagwort(e): Nichtlineare Dynamik ; Lehrbuch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 9
    UID:
    gbv_1764046994
    Umfang: VIII, 102 Seiten , Illustrationen, Diagramme
    Inhalt: Selfsustained oscillations are some of the most commonly observed phenomena in biological systems. They emanate from non-linear systems in a heterogeneous environment and can be described by the theory of dynamical systems. Part of this theory considers reduced models of the oscillator dynamics by means of amplitudes and a phase variable. Such variables are highly attractive for theoretical and experimental studies. Theoretically these variables correspond to an integrable linearization of the generally non-linear system. Experimentally, there exist well established approaches to extract phases from oscillator signals. Notably, one can define phase models also for networks of oscillators. One highly active field examines effects of non-local coupling among oscillators, which is thought to play a key role in networks with strong coupling. The dissertation introduces and expands the knowledge about high-order phase coupling in networks of oscillators. Mathematical calculations consider the Stuart-Landau oscillator. [...]
    Anmerkung: Dissertation Universität Potsdam 2021
    Weitere Ausg.: Erscheint auch als Online-Ausgabe Gengel, Erik Direct and inverse problems of network analysis Potsdam, 2021
    Sprache: Englisch
    Schlagwort(e): Hochschulschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 10
    Online-Ressource
    Online-Ressource
    Cham, Switzerland :Springer International Publishing,
    UID:
    edoccha_9960178854102883
    Umfang: 1 online resource (243 pages)
    ISBN: 3-030-91032-6
    Serie: Undergraduate Lecture Notes in Physics
    Weitere Ausg.: Print version: Datseris, George Nonlinear Dynamics Cham : Springer International Publishing AG,c2022 ISBN 9783030910310
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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