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100   $a20250410d2025      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLyapunov Stability of Transformation Semigroups /$fby Victor H. L. Rocha, Josiney A. Souza
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (XVIII, 228 p. 14 illus.)
225 1 $aLatin American Mathematics Series,$x2524-6763
311 08$a3-031-85760-7 
327   $aPreface -- Introduction -- Semigroup actions -- Attraction and Lyapunov stability -- Orbital maps -- Lyapunov stability on fiber bundles -- Fenichel?s uniformity lemma -- Stability and controllability -- Higher stability and generalized recurrence -- Fiber bundles -- References -- Index.
330   $aThis book presents recent research results on Lyapunov stability and attraction for semigroup actions in a pedagogical format, providing the reader with numerous modern ideas and mathematical formulations for dynamical concepts in the transformation group theory. In recent decades, many fundamental concepts of dynamical systems have been extended to the general framework of transformation semigroups. Limit sets, attractors, isolated invariant sets, prolongational limit sets, and stable sets now have semigroup theoretical analogues. This monograph consolidates recent advancements in this field in a way that makes it accessible to graduate students. An effort was made to relate the presented results to important recurrence notions, for contextual clarity. A rudimentary understanding of group theory and topology, including the concepts of semigroup action, orbit, fiber bundle, compactness, and connectedness, is a prerequisite for reading this text. As a valuable resource for research projects and academic dissertations on topological dynamics, geometry, and mathematical analysis, this work can potentially open new avenues for further research.
410  0$aLatin American Mathematics Series,$x2524-6763
606   $aDynamics
606   $aSystem theory
606   $aControl theory
606   $aDynamical Systems
606   $aSystems Theory, Control
606   $aGrups de transformacions$2thub
606   $aSemigrups$2thub
608   $aLlibres electrònics$2thub
615  0$aDynamics.
615  0$aSystem theory.
615  0$aControl theory.
615 14$aDynamical Systems.
615 24$aSystems Theory, Control.
615  7$aGrups de transformacions
615  7$aSemigrups
676   $a515.39
700   $aRocha$b Victor H. L$4aut$4http://id.loc.gov/vocabulary/relators/aut$01817587
702   $aSouza$b Josiney A$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910996490703321
996   $aLyapunov Stability of Transformation Semigroups$94375475
997   $aUNINA