| Description |
1 online resource (xxv, 374 pages) : illustrations (chiefly color) |
| Series |
Springer Proceedings in Complexity |
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Springer proceedings in complexity.
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| Contents |
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 |
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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 |
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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 Caldera-Type Hamiltonian System -- 1 Introduction -- 2 Hamiltonian Model -- 3 Lagrangian Descriptors in Caldera-Type Hamiltonian Systems -- 4 Numerical Results -- 5 Conclusions -- References -- The Building Blocks of Spiral Arms in Galaxies -- 1 Introduction -- 2 Spiral Arms in Grand Design Galaxies -- 2.1 The Model -- 2.2 Spiral Density Waves from Precessing Ellipses |
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3 Spiral Arms in Barred Spiral Galaxies -- 3.1 The Model -- 3.2 Manifold Spirals -- 4 Conclusion -- References -- Ordered and Chaotic Bohmian Trajectories -- 1 Introduction -- 2 Nodal Point-X-Point Complex Mechanism -- 3 Chaos and Entanglement in Bohmian Qubits -- 4 Summary -- References -- A Brief Introduction to Quantum Chaos of Generic Systems -- 1 Introduction -- 2 Quantum Mechanics of Classically Integrable Systems -- 3 Quantum Chaos in Classically Ergodic Systems -- 4 Quantum Chaos in Generic Systems -- 4.1 The Wigner Functions |
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4.2 The Principle of Uniform Semiclassical Condensation (PUSC) of Wigner Functions -- 4.3 Spectral Statistics in the Mixed-type Systems -- 4.4 Quantum Localization of the Chaotic Eigenstates -- 5 The Poincaré-Husimi Functions in Billiards -- 6 The Phase Space Localization Measures of Chaotic Eigenstates -- 7 The Distribution of the Localization Measures -- 8 Semiclassical Limiting Approach to the Regime of PUSC -- 9 Discussion and Conclusions -- References -- Dynamics and Statistics of Weak Chaos in a 4-D Symplectic Map -- 1 Introduction -- 2 Statistical Analysis of Weak Chaos -- 3 Evidence of Weak Chaos in 4DMM Maps |
| Summary |
This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School Dynamical Systems and Complexity, July 18 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world |
| Notes |
Description based upon print version of record |
| Subject |
Chaotic behavior in systems.
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Fractals.
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Computational complexity.
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fractals.
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Chaotic behavior in systems
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Computational complexity
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Fractals
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| Form |
Electronic book
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| Author |
Bountis, Tassos.
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Vallianatos, Filippos
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Provata, Astero
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Kugiumtzis, Dimitris
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Kominis, Yannis
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| ISBN |
9783031374043 |
|
3031374045 |
|
