Elements of Stochastic Dynamics
Nonfiction, Science & Nature, Technology, Engineering, Mechanical, Civil, Mathematics
| Author: | Guo-Qiang Cai, Wei-Qiu Zhu | ISBN: | 9789814723343 |
| Publisher: | World Scientific Publishing Company | Publication: | August 11, 2016 |
| Imprint: | WSPC | Language: | English |
| Author: | Guo-Qiang Cai, Wei-Qiu Zhu |
| ISBN: | 9789814723343 |
| Publisher: | World Scientific Publishing Company |
| Publication: | August 11, 2016 |
| Imprint: | WSPC |
| Language: | English |
Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.
Elements of Stochastic Dynamics aims to meet the growing need to understand and master the subject by introducing fundamentals to researchers who want to explore stochastic dynamics in their fields and serving as a textbook for graduate students in various areas involving stochastic uncertainties. All topics within are presented from an application approach, and may thus be more appealing to users without a background in pure Mathematics. The book describes the basic concepts and theories of random variables and stochastic processes in detail; provides various solution procedures for systems subjected to stochastic excitations; introduces stochastic stability and bifurcation; and explores failures of stochastic systems. The book also incorporates some latest research results in modeling stochastic processes; in reducing the system degrees of freedom; and in solving nonlinear problems. The book also provides numerical simulation procedures of widely-used random variables and stochastic processes.
A large number of exercise problems are included in the book to aid the understanding of the concepts and theories, and may be used for as course homework.
Contents:
- Introduction
- Random Variables
- Stochastic Processes
- Markov and Related Stochastic Processes
- Responses of Linear Systems to Stochastic Excitations
- Exact Stationary Solutions of Nonlinear Stochastic Systems
- Approximate Solutions of Nonlinear Stochastic Systems
- Stability and Bifurcation of Stochastically Excited Systems
- First-Passage Problem of Stochastically Excited Systems
Readership: Students & Professionals; graduate students in various areas involving stochastic uncertainties and researchers who want to explore stochastic dynamics in their fields.
Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.
Elements of Stochastic Dynamics aims to meet the growing need to understand and master the subject by introducing fundamentals to researchers who want to explore stochastic dynamics in their fields and serving as a textbook for graduate students in various areas involving stochastic uncertainties. All topics within are presented from an application approach, and may thus be more appealing to users without a background in pure Mathematics. The book describes the basic concepts and theories of random variables and stochastic processes in detail; provides various solution procedures for systems subjected to stochastic excitations; introduces stochastic stability and bifurcation; and explores failures of stochastic systems. The book also incorporates some latest research results in modeling stochastic processes; in reducing the system degrees of freedom; and in solving nonlinear problems. The book also provides numerical simulation procedures of widely-used random variables and stochastic processes.
A large number of exercise problems are included in the book to aid the understanding of the concepts and theories, and may be used for as course homework.
Contents:
- Introduction
- Random Variables
- Stochastic Processes
- Markov and Related Stochastic Processes
- Responses of Linear Systems to Stochastic Excitations
- Exact Stationary Solutions of Nonlinear Stochastic Systems
- Approximate Solutions of Nonlinear Stochastic Systems
- Stability and Bifurcation of Stochastically Excited Systems
- First-Passage Problem of Stochastically Excited Systems
Readership: Students & Professionals; graduate students in various areas involving stochastic uncertainties and researchers who want to explore stochastic dynamics in their fields.
