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Cell Mapping Methods : Algorithmic Approaches and Applications / / by Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
| Cell Mapping Methods : Algorithmic Approaches and Applications / / by Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández |
| Autore | Sun Jian-Qiao |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XV, 226 p. 98 illus., 70 illus. in color.) |
| Disciplina | 519 |
| Soggetto topico |
Applied mathematics
Engineering mathematics Physics Mathematical and Computational Engineering Mathematical Methods in Physics Applications of Mathematics |
| ISBN | 981-13-0457-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Dynamical Systems -- Simple Cell Mapping -- Generalized Cell Mapping -- Hybrid Cell Mapping and Subdivision -- Post-Processing of Simple Cell Mapping -- Application-Global Analysis of Nonlinear Dynamical Systems -- Application-Finding Zeros of Nonlinear Algebraic Functions -- Application-Multi-Objective Optimization. |
| Record Nr. | UNINA-9910350317403321 |
Sun Jian-Qiao
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Random Vibration with Machine Learning Method / / by Jian-Qiao Sun
| Random Vibration with Machine Learning Method / / by Jian-Qiao Sun |
| Autore | Sun Jian-Qiao |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (265 pages) |
| Disciplina | 620.3 |
| Collana | Nonlinear Physical Science |
| Soggetto topico |
Multibody systems
Vibration Mechanics, Applied Machine learning Neural networks (Computer science) Multibody Systems and Mechanical Vibrations Machine Learning Mathematical Models of Cognitive Processes and Neural Networks |
| ISBN | 981-9508-12-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Theoretical Foundation -- Simulation -- Response Process -- Response Moment -- Response Distribution -- Classical Random Vibration -- Random Vibration with Neural Networks -- Method of Feynman-Kac -- Green’s Operator -- Data-Driven Random Vibration -- Data-Driven Generalized Cell Mapping -- New Application of Simulation. |
| Record Nr. | UNINA-9911034956403321 |
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Sun Jian-Qiao
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Stochastic dynamics and control / / Jian-Qiao Sun
| Stochastic dynamics and control / / Jian-Qiao Sun |
| Autore | Sun Jian-Qiao |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Boston, : Elsevier, 2006 |
| Descrizione fisica | 1 online resource (427 p.) |
| Disciplina | 519.2 |
| Collana | Monograph series on nonlinear science and complexity |
| Soggetto topico |
Stochastic processes
Probabilities |
| ISBN |
1-280-63601-7
9786610636013 0-08-046398-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front cover; Table of contents; Preface; Chapter 1. Introduction; 1.1. Stochastic dynamics; 1.2. Stochastic control; Chapter 2. Probability Theory; 2.1. Probability of random events; 2.2. Random variables; 2.3. Probability distributions; 2.4. Expectations of random variables; 2.5. Common probability distributions; 2.6. Two-dimensional random variables; 2.7. n-Dimensional random variables; 2.8. Functions of random variables; 2.9 Conditional probability; Exercises; Chapter 3. Stochastic Processes; 3.1. Definitions; 3.2. Expectations; 3.3. Vector process; 3.4 Gaussian process
3.5. Harmonic process3.6. Stationary process; 3.7. Ergodic process; 3.8. Poisson process; 3.9. Markov process; Exercises; Chapter 4. Spectral Analysis of Stochastic Processes; 4.1 Power spectral density function; 4.2. Spectral moments and bandwidth; 4.3. Process with rational spectral density function; 4.4. Finite time spectral analysis; Exercises; Chapter 5. Stochastic Calculus; 5.1. Modes of convergence; 5.2. Stochastic differentiation; 5.3. Stochastic integration; 5.4. Ito calculus; Exercises; Chapter 6. Fokker-Planck-Kolmogorov Equation; 6.1. Chapman-Kolmogorov-Smoluchowski equation 6.2. Derivation of the FPK equation6.3. Solutions of FPK equations for linear systems; 6.4. Short-time solution; 6.5. Path integral solution; 6.6. Exact stationary solutions; Exercises; Chapter 7. Kolmogorov Backward Equation; 7.1. Derivation of the backward equation; 7.2. Reliability formulation; 7.3. First-passage time probability; 7.4. Pontryagin-Vitt equations; Exercises; Capter 8. Random Vibration of SDOF Systems; 8.1. Solutions in the mean square sense; 8.2. Solutions with Ito calculus; Exercises; Chapter 9. Random Vibration of MDOF Discrete Systems; 9.1. Lagrange's equation 9.2. Modal solutions of MDOF systems9.3. Response statistics; 9.4. State space representation and Ito calculus; 9.5. Filtered white noise excitation; Exercises; Chapter 10. Random Vibration of Continuous Structures; 10.1. Distributed random excitations; 10.2. One-dimensional structures; 10.3. Two-dimensional structures; Exercises; Chapter 11. Structural Reliability; 11.1. Modes of failure; 11.2. Level crossing; 11.3. Vector process; 11.4. First-passage reliability based on level crossing; 11.5. First-passage time probability - general approach; 11.6. Structural fatigue 11.7. Dirlik's formula for fatigue prediction11.8. Extended Dirlik's formula for non-Gaussian stress; Exercises; Chapter 12. Monte Carlo Simulation; 12.1. Random numbers; 12.2. Random processes; 12.3. Stochastic differential equations; 12.4. Simulation of non-Gaussian processes; Exercises; Chapter 13. Elements of Feedback Controls; 13.1. Transfer function of linear dynamical systems; 13.2. Concepts of stability; 13.3. Effects of poles and zeros; 13.4. Time domain specifications; 13.5. PID controls; 13.6. Routh's stability criterion; 13.7. Root locus design; Exercises Chapter 14. Feedback Control of Stochastic Systems |
| Record Nr. | UNINA-9911006646103321 |
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Sun Jian-Qiao
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| Boston, : Elsevier, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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