Smooth and nonsmooth high dimensional chaos and the melnikov-type methods / Jan Awrejcewicz, Mariusz M. Holicke.
This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the a...
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| Main Author: | |
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| Other Authors: | |
| Format: | Electronic |
| Language: | English |
| Published: |
Singapore ; Hackensack, NJ :
World Scientific,
©2007.
|
| Series: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 60. |
| Subjects: | |
| Online Access: | Click for online access |
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| 100 | 1 | |a Awrejcewicz, J. |q (Jan) | |
| 245 | 1 | 0 | |a Smooth and nonsmooth high dimensional chaos and the melnikov-type methods / |c Jan Awrejcewicz, Mariusz M. Holicke. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c ©2007. | ||
| 300 | |a 1 online resource (x, 307 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a World Scientific series on nonlinear science. Series A ; |v v. 60 | |
| 504 | |a Includes bibliographical references (pages 285-289) and index. | ||
| 505 | 0 | |a 1. A role of the Melnikov-type methods in applied sciences -- 2. Classical Melnikov approach -- 3. Homoclinic chaos criterion in a rotated froude pendulum with dry fiction -- 4. Smooth and nonsmooth dynamics of a 1uasi-autonomous oscillator with coulomb and viscous frictions -- 5. Application of the Melnikov-Gruendler method to mechanical systems -- 6. A self-excited spherical pendulum -- 7. A double self-excited duffing-type oscillator -- 8. A triple self-excited duffing-type oscillator. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurrenc. | ||
| 650 | 0 | |a Chaotic behavior in systems. | |
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 0 | |a Nonlinear oscillators. | |
| 650 | 7 | |a SCIENCE |x Chaotic Behavior in Systems. |2 bisacsh | |
| 650 | 7 | |a Chaotic behavior in systems |2 fast | |
| 650 | 7 | |a Differentiable dynamical systems |2 fast | |
| 650 | 7 | |a Nonlinear oscillators |2 fast | |
| 700 | 1 | |a Holicke, Mariusz M. | |
| 776 | 0 | 8 | |i Print version: |a Awrejcewicz, J. (Jan). |t Smooth and nonsmooth high dimensional chaos and the melnikov-type methods. |d Singapore ; Hackensack, NJ : World Scientific, ©2007 |z 9812709096 |z 9789812709097 |w (DLC) 2008295967 |w (OCoLC)170923078 |
| 830 | 0 | |a World Scientific series on nonlinear science. |n Series A, |p Monographs and treatises ; |v v. 60. | |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1679751 |y Click for online access |
| 903 | |a EBC-AC | ||
| 994 | |a 92 |b HCD | ||