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Record Nr. |
UNINA9910746294503321 |
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Autore |
Bountis Tassos |
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Titolo |
Chaos, Fractals and Complexity |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing AG, , 2023 |
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©2023 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (381 pages) |
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Collana |
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Springer Proceedings in Complexity Series |
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Altri autori (Persone) |
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VallianatosFilippos |
ProvataAstero |
KugiumtzisDimitris |
KominisYannis |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Organization -- Preface -- Contents -- Contributors -- Chaos -- Diffusion Without Spreading of a Wave Packet in Nonlinear Random Models -- 1 Introduction -- 1.1 Difference Between Spreading and Diffusion -- 1.2 Discussion of the Boltzmann Ergodic Hypothesis -- 2 Dynamics of Hamiltonians with a Finite Number of Degrees of Freedom -- 2.1 KAM Tori in Finite Nearly Integrable Hamiltonian Systems -- 2.2 Arnold Diffusion Conjecture and Extension -- 2.3 Anti Integrable Limit -- 3 Dynamics of Hamiltonians on Infinite Lattices -- 3.1 KAM Tori in Infinite Hamiltonian Systems on Lattices with Linear Discrete Spectrum -- 3.2 Numerical Observation of KAM Tori in Large Non Integrable Hamiltonian Systems -- 4 Long Time Behavior of Wave Packets -- 4.1 A Criterion for the Long Time Behavior of a Wave Packet -- 4.2 Discussion of the Long Time Behavior of Wave Packets -- 5 Exact Results for Ding Dong Models -- 5.1 Definition -- 5.2 Regular Trajectories and a Lemma -- 5.3 Some Exact Results -- 5.4 Non Genericity of DD Models -- 6 Concluding Remarks -- References -- Nonlinear Phenomena Shaping the Structure of Spiral Galaxies -- 1 Introduction -- 2 Order and Chaos -- 2.1 Two Dimensional (2D) Models -- 2.2 Three Dimensional (3D) Models -- 3 Discussion -- References -- Phase Space Transport and Dynamical Matching in a |
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