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020 _a9781846287084
_99781846287084
024 7 _a10.1007/9781846287084
_2doi
035 _avtls000343963
039 9 _a201509030356
_bVLOAD
_c201405050300
_dVLOAD
_y201402061244
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA313
100 1 _aLaurea, Mario di Bernardo.
_eeditor.
_9322917
245 1 0 _aPiecewise-smooth Dynamical Systems :
_bTheory and Applications /
_cedited by Mario di Bernardo Laurea, Alan R. Champneys, Christopher J. Budd, Piotr Kowalczyk.
264 1 _aLondon :
_bSpringer London,
_c2008.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v163
500 _aSpringer eBooks
505 0 _aQualitative 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 _aTraditional 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aChampneys, Alan R.
_eeditor.
_9322918
700 1 _aBudd, Christopher J.
_eeditor.
_9322919
700 1 _aKowalczyk, Piotr.
_eeditor.
_9322920
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9781846280399
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84628-708-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c291553
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