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Chaos, Fractals and Complexity
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  
Cham : , : Springer International Publishing AG, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Complexity of seismic time series : measurement and application / / edited by Tamaz Chelidze, Filippos Vallianatos, Luciano Telesca
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Statistics and Pattern Recognition Applied to the Spatio-Temporal Properties of Seismicity
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  
Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui