Cargando…
Piecewise-smooth Dynamical Systems Theory and Applications /
Traditional analysis of dynamical systems has restricted its attention to smooth problems, but it has become increasingly clear that there are distinctive phenomena unique to discontinuous systems that can be analyzed mathematically but which fall outside the usual methodology for smooth dynamical s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Springer London : Imprint: Springer,
2008.
|
| Edición: | 1st ed. 2008. |
| Colección: | Applied Mathematical Sciences,
163 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-84628-708-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220116082607.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 xxk| s |||| 0|eng d | ||
| 020 | |a 9781846287084 |9 978-1-84628-708-4 | ||
| 024 | 7 | |a 10.1007/978-1-84628-708-4 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBK |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Bernardo, Mario. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Piecewise-smooth Dynamical Systems |h [electronic resource] : |b Theory and Applications / |c by Mario Bernardo, Chris Budd, Alan Richard Champneys, Piotr Kowalczyk. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a London : |b Springer London : |b Imprint: Springer, |c 2008. | |
| 300 | |a XXII, 482 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 163 | |
| 505 | 0 | |a Qualitative theory of non-smooth dynamical systems -- Border-collision in piecewise-linear continuous maps -- Bifurcations in general piecewise-smooth maps -- Boundary equilibrium bifurcations in flows -- Limit cycle bifurcations in impacting systems -- Limit cycle bifurcations in piecewise-smooth flows -- Sliding bifurcations in Filippov systems -- Further applications and extensions. | |
| 520 | |a Traditional analysis of dynamical systems has restricted its attention to smooth problems, but it has become increasingly clear that there are distinctive phenomena unique to discontinuous systems that can be analyzed mathematically but which fall outside the usual methodology for smooth dynamical systems. The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yet applicable way. The key concept is that of a discontinuity-induced bifurcation, which generalizes diverse phenomena such as grazing, border-collision, sliding, chattering and the period-adding route to chaos. The results are presented in an informal style and illustrated with copious examples, both theoretical and experimental. Aimed at a wide audience of applied mathematicians, engineers and scientists at the early postgraduate level, the book assumes only the standard background of basic calculus and linear algebra for most of the presentation and will be an indispensable resource for students and researchers. The inclusion of a comprehensive bibliography and many open questions will also serve as a stimulus for future research. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Control engineering. | |
| 650 | 0 | |a Robotics. | |
| 650 | 0 | |a Automation. | |
| 650 | 0 | |a Multibody systems. | |
| 650 | 0 | |a Vibration. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Electrical engineering. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Control, Robotics, Automation. |
| 650 | 2 | 4 | |a Multibody Systems and Mechanical Vibrations. |
| 650 | 2 | 4 | |a Electrical and Electronic Engineering. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 700 | 1 | |a Budd, Chris. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Champneys, Alan Richard. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Kowalczyk, Piotr. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781848004214 |
| 776 | 0 | 8 | |i Printed edition: |z 9781849965484 |
| 776 | 0 | 8 | |i Printed edition: |z 9781846280399 |
| 830 | 0 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 163 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-84628-708-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||