國立高雄大學圖資館 |

登入

回首頁

Stochastic averagingmethods and applications.Volume 1 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stochastic averagingby Wei-Qiu Zhu, Mao-Lin Deng, Guo-Qiang Cai.
其他題名:	methods and applications.
作者:	Zhu, W.-Q.
其他作者:	Deng, Mao-Lin.
出版者:	Singapore :Springer Nature Singapore :2025.
面頁冊數:	x, 443 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Stochastic approximation.
電子資源:	https://doi.org/10.1007/978-981-96-3829-1
ISBN:	9789819638291$q(electronic bk.)

Stochastic averagingmethods and applications.Volume 1 /
Zhu, W.-Q.

Stochastic averagingmethods and applications.Volume 1 /[electronic resource] :by Wei-Qiu Zhu, Mao-Lin Deng, Guo-Qiang Cai. - Singapore :Springer Nature Singapore :2025. - x, 443 p. :ill. (some col.), digital ;24 cm.

Introduction -- Random Process -- Nonlinear Stochastic Dynamical System -- Stochastic Averaging Method for Single DOF System.

The stochastic averaging methods are among the most effective and widely applied approximate methods for studying nonlinear stochastic dynamics. Upon an overview of global research on the subject, the book highlights a comprehensive summary of research results obtained by the group led by Professor Weiqiu Zhu at Zhejiang University in China and the group led by Professors Y. K. Lin and G. Q. Cai at Florida Atlantic University in the USA over the past three decades. The books are structured to progress logically from foundational principles to simple problems and then to increasingly complex applications. To facilitate understanding and mastery of the methods, the books offer essential preliminary knowledge and a wealth of examples. The book comprises two volumes. Volume 1 introduces the basic principles of stochastic averaging methods and their applications to single-degree-of-freedom systems under various random excitations. It also covers stochastic averaging methods for quasi-Hamiltonian systems subjected to different random excitations, including Gaussian white noise, combined Gaussian and Poisson white noises, and fractional Gaussian noise. Volume 2 explores stochastic averaging methods for quasi-integrable Hamiltonian systems under colored noise excitation, quasi-integrable Hamiltonian systems with genetic effects under Gaussian white noise and colored noise excitations, and quasi-generalized Hamiltonian systems under Gaussian white noise excitation. Additionally, it covers applications of these methods in ecosystems and some other natural science and engineering scenarios. These books serve as both introductory texts and valuable reference resources for readers in higher education and research institutions who are interested in or actively engaged in research involving nonlinear stochastic dynamics. The fields covered include mechanics, physics, chemistry, biology, ecology, astronautics and aeronautics, oceanography, civil engineering, mechanical engineering, and electrical engineering.

ISBN: 9789819638291$q(electronic bk.)

Standard No.: 10.1007/978-981-96-3829-1doiSubjects--Topical Terms:

191094
Stochastic approximation.

LC Class. No.: QA274.2

Dewey Class. No.: 519.22

Stochastic averagingmethods and applications.Volume 1 /
LDR:03219nmm a2200337 a 4500 001 683387
003 DE-He213
005 20250619125353.0
006 m d
007 cr nn 008maaau
008 251212s2025 si s 0 eng d
020 $a 9789819638291$q(electronic bk.)
020 $a 9789819638284$q(paper)
024 7 $a 10.1007/978-981-96-3829-1 $2 doi
035 $a 978-981-96-3829-1
040 $a GP $c GP
041 1 $a eng $h chi
050 4 $a QA274.2
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 519.22 $2 23
090 $a QA274.2 $b .Z63 2025
100 1 $a Zhu, W.-Q. $3 997105
245 1 0 $a Stochastic averaging $h [electronic resource] : $b methods and applications. $n Volume 1 / $c by Wei-Qiu Zhu, Mao-Lin Deng, Guo-Qiang Cai.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a x, 443 p. : $b ill. (some col.), digital ; $c 24 cm.
338 $a online resource $b cr $2 rdacarrier
505 0 $a Introduction -- Random Process -- Nonlinear Stochastic Dynamical System -- Stochastic Averaging Method for Single DOF System.
520 $a The stochastic averaging methods are among the most effective and widely applied approximate methods for studying nonlinear stochastic dynamics. Upon an overview of global research on the subject, the book highlights a comprehensive summary of research results obtained by the group led by Professor Weiqiu Zhu at Zhejiang University in China and the group led by Professors Y. K. Lin and G. Q. Cai at Florida Atlantic University in the USA over the past three decades. The books are structured to progress logically from foundational principles to simple problems and then to increasingly complex applications. To facilitate understanding and mastery of the methods, the books offer essential preliminary knowledge and a wealth of examples. The book comprises two volumes. Volume 1 introduces the basic principles of stochastic averaging methods and their applications to single-degree-of-freedom systems under various random excitations. It also covers stochastic averaging methods for quasi-Hamiltonian systems subjected to different random excitations, including Gaussian white noise, combined Gaussian and Poisson white noises, and fractional Gaussian noise. Volume 2 explores stochastic averaging methods for quasi-integrable Hamiltonian systems under colored noise excitation, quasi-integrable Hamiltonian systems with genetic effects under Gaussian white noise and colored noise excitations, and quasi-generalized Hamiltonian systems under Gaussian white noise excitation. Additionally, it covers applications of these methods in ecosystems and some other natural science and engineering scenarios. These books serve as both introductory texts and valuable reference resources for readers in higher education and research institutions who are interested in or actively engaged in research involving nonlinear stochastic dynamics. The fields covered include mechanics, physics, chemistry, biology, ecology, astronautics and aeronautics, oceanography, civil engineering, mechanical engineering, and electrical engineering.
650 0 $a Stochastic approximation. $3 191094
650 0 $a Average. $3 567327
650 1 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Applications of Mathematics. $3 273744
650 2 4 $a Mathematical Physics. $3 522725
700 1 $a Deng, Mao-Lin. $3 997106
700 1 $a Cai, G. Q. $3 997107
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-96-3829-1
950 $a Physics and Astronomy (SpringerNature-11651)