Chaos, Fractals and Complexity |
Autore | Bountis Tassos |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2023 |
Descrizione fisica | 1 online resource (381 pages) |
Disciplina | 003 |
Altri autori (Persone) |
VallianatosFilippos
ProvataAstero KugiumtzisDimitris KominisYannis |
Collana | Springer Proceedings in Complexity Series |
ISBN | 3-031-37404-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 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 -- 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 -- 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 -- 3.1 Weak Chaos in an Example of the 4DMM Map -- 3.2 HE Cases of the 4DMM Map -- 3.3 HH Cases of the 4DMM Map -- 3.4 Close to the Instability Transition -- 4 Conclusions -- References -- Fractals -- Multifractal Analysis of SEM Images of Multiphase Materials: The Case of OPC Clinker -- 1 Introduction -- 2 Multifractal Analysis -- 3 Data -- 4 Results -- 5 Summary -- References -- Fractal Dimensional Analysis for Retinal Vascularization Images in Retinitis Pigmentosa: A Pilot Study -- 1 Introduction -- 2 A Brief Introduction to Fractal Dimension -- 3 Retinitis Pigmentosa -- 3.1 First Methodology: Digital Fundus Photography -- 3.2 Second Methodology: Optical Coherence Tomography Angiography -- 4 Discussion -- References -- Extending the Bayesian Framework from Information to Action -- 1 Introduction -- 2 Biological Versus Artificial Information Processing. 3 Extended Bayesian Inference: Two Modes in One Loop -- 4 Outlook and Forthcoming Experiments -- References -- Complexity -- Fokas on Medical Imaging: Analytic Reconstructions for Emission Tomography -- 1 Introduction -- 2 Radon Transform and Its Attenuated Version in Two Dimensions -- 3 Inversion of the Radon Transform in Two Dimensions -- 3.1 Fourier-Based Inversion of the Radon Transform in Two Dimensions -- 3.2 Complex Analysis Tools -- 3.3 The Inversion of the Radon Transform in Two Dimensions Without the Fourier Transform: The Fokas Approach -- 4 Inversion of the Attenuated Radon Transform in Two Dimensions -- 4.1 The Inversion of the Attenuated Radon Transform in Two Dimensions Without the Fourier Transform: The Fokas Approach -- 4.2 A Novel Method for the Inversion of the Attenuated Radon Transform in Two Dimensions -- References -- Inverse EEG Problem, Minimization and Numerical Solutions -- 1 Neurophysiology of EEG -- 2 The Importance of EEG -- 3 Head Model -- 4 Basic Equations for the EEG Formulation -- 5 Configuration of the Numerical Solution -- 6 Future Work -- References -- Traveling Waves in Flowing Sand: The Dynamical Systems Approach -- 1 Introduction -- 2 Steady Uniform Flow and the Monoclinal Flood Wave -- 3 One Equation to Rule All Traveling Waveforms -- 3.1 Focusing on Traveling Wave Solutions -- 3.2 Non-dimensional Form -- 4 Dynamical Systems Approach -- 5 From Monoclinal Waves to Roll Waves -- 5.1 Stage 1: The Monoclinal Wave -- 5.2 Stage 2: The Undular Bore -- 5.3 Stage 3: Roll Waves -- 6 Conclusion -- References -- Identifying Discrete Breathers Using Convolutional Neural Networks -- 1 Introduction -- 2 Creation of Breather and Phonon Samples -- 3 Machine Learning Training Process and Results -- 4 Conclusions -- References -- Subthreshold Oscillations in Multiplex Leaky Integrate-and-Fire Networks with Nonlocal Interactions. 1 Introduction -- 2 The Model -- 2.1 The Coupled LIF Dynamics in the Multiplex -- 2.2 Kuramoto Order Parameter -- 3 Results -- 3.1 Subthreshold Oscillations -- 4 Conclusions and Open Problems -- References -- Networks' Modulation: How Different Structural Network Properties Affect the Global Synchronization of Coupled Kuramoto Oscillators -- 1 Introduction -- 2 Methods and Materials -- 2.1 Connectivity Measurements -- 2.2 Neural Networks as Graphs -- 2.3 The Kuramoto Model -- 3 Results -- 4 Summary and Discussion -- References -- Neural Correlates of Human-Machine Trust in Autonomous Vehicles Context -- 1 Introduction -- 2 Understanding Trust-in-Automation -- 2.1 Cognitive Component -- 2.2 Affective Component -- 2.3 Behavioural Component -- 3 Psychological and Cognitive Factors of Trust Between Drivers and AVs -- 4 Current Approaches to Objective Trust Measures Using Brain Signals -- 4.1 Approaches Based on EEG -- 4.2 Approaches Based on fNIRS -- 5 Conclusions and Future Directions -- References -- Fokas and Mathematics -- High-Order Localized Wave Solutions of the New (3+1)-Dimensional Kadomtsev-Petviashvili Equation -- 1 Introduction -- 2 Soliton Solutions of the (3+1)-Dimensional KP Equation -- 3 Rational Solutions of the (3+1)-Dimensional KP Equation -- 4 Semi-rational Solutions of the (3+1)-Dimensional KP Equation -- 5 Discussion -- References -- Progress in Initial-Boundary Value Problems for Nonlinear Evolution Equations and the Fokas Method -- 1 Introduction -- 2 Initial-Boundary Value Problems via the Fokas Method -- 3 A Higher Dispersion KdV on the Half-Line -- References -- Instabilities of Linear Evolution PDEs via the Fokas Method -- 1 Introduction -- 2 The Equation tu+xxxu=0 -- 3 The Equation tu-xxxu=0 -- 4 Conclusion -- References -- Fokas Diagonalization -- 1 Introduction -- 1.1 The Classical Spectral Transform Method. 1.2 Derivation of Transforms -- 1.3 Example Problems -- 1.4 A More General Spectral Transform Method -- 2 Results -- 2.1 Half Line Neumann Problem for the Stokes Equation -- 2.2 Finite Interval Problem for the Heat Equation with a Nonlocal Condition -- 2.3 Half Line Dirichlet Problem for the Linearized BBM Equation -- 3 Conclusion -- 3.1 On Pedagogy -- References -- A Novel Difference-Integral Equation Satisfied Asymptotically by the Riemann Zeta Function -- 1 Introduction -- 2 Review of Some of the Results of ch22F -- 3 Computation of 3 and 4 -- 4 Sketch of the Derivation of (1.1) -- 5 Numerical Evidence -- References -- The Role of Periodicity in the Solution of Third Order Boundary Value Problems -- 1 Introduction -- 2 A Motivating Example and the Unified Transform of Fokas -- 3 Non-periodic Boundary Value Problems -- 3.1 Uncoupled BC of Dirichlet Type -- 3.2 Mixed BC of Dirichlet Type -- 3.3 Coupled BC: Pseudo-periodic -- 3.4 An Outlier: Quasi-periodic BC -- References -- The Fokas Method for the Well-posedness of Nonlinear Dispersive Equations in Domains with a Boundary -- 1 Introduction -- 2 Inverse Scattering for Linear Equations: Rediscovering the Fourier Transform -- 3 A Novel Approach for the Well-posedness of IBVPs -- References -- Athanassios S. Fokas: A Renaissance Scientist -- Athanassios S. Fokas: A Renaissance Scientist -- References -- Author Index. |
Record Nr. | UNINA-9910746294503321 |
Bountis Tassos
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Cham : , : Springer International Publishing AG, , 2023 | ||
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Lo trovi qui: Univ. Federico II | ||
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Complexity of seismic time series : measurement and application / / edited by Tamaz Chelidze, Filippos Vallianatos, Luciano Telesca |
Pubbl/distr/stampa | Amsterdam, Netherlands : , : Elsevier, , [2018] |
Descrizione fisica | 1 online resource (548 pages) |
Disciplina | 551.220727 |
Soggetto topico |
Seismology - Statistical methods
Time-series analysis |
ISBN |
0-12-813139-X
0-12-813138-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I. Complexity measurement in seismograms and natural and artificial time series of EQs (catalogs) -- Part II. Complexity of time series of stick-slip (models of seismic process) -- Part III. Complexity in earthquake generation and seismic hazard assessment. |
Record Nr. | UNINA-9910583330003321 |
Amsterdam, Netherlands : , : Elsevier, , [2018] | ||
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Lo trovi qui: Univ. Federico II | ||
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Statistics and Pattern Recognition Applied to the Spatio-Temporal Properties of Seismicity |
Autore | Gentili Stefania |
Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
Descrizione fisica | 1 electronic resource (180 p.) |
Soggetto topico |
Technology: general issues
Environmental science, engineering & technology |
Soggetto non controllato |
system-analytical method
earthquake-prone areas pattern recognition clustering machine learning earthquake catalogs high seismicity criteria tidal triggering of earthquakes seismic cycle coulomb failure stress preparatory phase seismic prediction earthquake forecasting precursors statistical seismology earthquake likelihood models seismicity patterns New Zealand California smoothed seismicity methods global seismicity foreshocks and aftershocks earthquake forecasting model statistical methods magnitude-frequency distribution corner magnitude tapered Pareto tapered Gutenberg-Richter epidemic type aftershock sequence model extreme value distribution Bayesian predictive distribution seismicity clustering DBSCAN algorithm markovian arrival processes numerical modeling earthquake simulator earthquake clustering northern and central Apennines |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910674369603321 |
Gentili Stefania
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Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
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Lo trovi qui: Univ. Federico II | ||
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