LEADER 02079nam 22003855a 450 001 9910151935403321 005 20091109150325.0 010 $a3-03719-541-X 024 70$a10.4171/041 035 $a(CKB)3710000000953821 035 $a(CH-001817-3)74-091109 035 $a(PPN)178155357 035 $a(EXLCZ)993710000000953821 100 $a20091109j20080229 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to Group Theory$b[electronic resource] /$fOleg Bogopolski 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2008 215 $a1 online resource (187 pages) 225 0 $aEMS Textbooks in Mathematics (ETB) 330 $aThis book quickly introduces beginners to general group theory and then focuses on three main themes: finite group theory, including sporadic groups; combinatorial and geometric group theory, including the Bass-Serre theory of groups acting on trees; the theory of train tracks by Bestvina and Handel for automorphisms of free groups. With its many examples, exercises, and full solutions to selected exercises, this text provides a gentle introduction that is ideal for self-study and an excellent preparation for applications. A distinguished feature of the presentation is that algebraic and geometric techniques are balanced. The beautiful theory of train tracks is illustrated by two nontrivial examples. Presupposing only a basic knowledge of algebra, the book is addressed to anyone interested in group theory: from advanced undergraduate and graduate students to specialists. 606 $aGroups & group theory$2bicssc 606 $aGroup theory and generalizations$2msc 615 07$aGroups & group theory 615 07$aGroup theory and generalizations 686 $a20-xx$2msc 700 $aBogopolski$b Oleg$0471660 801 0$bch0018173 906 $aBOOK 912 $a9910151935403321 996 $aIntroduction to group theory$9229596 997 $aUNINA LEADER 05515nam 22013333a 450 001 9910346839603321 005 20250203235437.0 010 $a9783038978992 010 $a303897899X 024 8 $a10.3390/books978-3-03897-899-2 035 $a(CKB)4920000000095244 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/54755 035 $a(ScCtBLL)1230cade-9820-47e4-8d66-31bdaebae392 035 $a(OCoLC)1163853476 035 $a(oapen)doab54755 035 $a(EXLCZ)994920000000095244 100 $a20250203i20192019 uu 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aNonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors$fJesus M. Munoz-Pacheco, Jacques Kengne, Sajad Jafari, Christos Volos 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 210 1$aBasel, Switzerland :$cMDPI,$d2019. 215 $a1 electronic resource (290 p.) 311 08$a9783038978985 311 08$a3038978981 330 $aIn recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors. 606 $aHistory of engineering and technology$2bicssc 610 $aS-Box algorithm 610 $aempirical mode decomposition 610 $aservice game 610 $aexistence 610 $ahyperchaotic system 610 $astatic memory 610 $acomplex-variable chaotic system 610 $aneural network 610 $afractional-order 610 $apermutation entropy 610 $aadaptive approximator-based control 610 $aBOPS 610 $aBogdanov Map 610 $acomplex systems 610 $aThurston?s algorithm 610 $aparameter estimation 610 $afractional discrete chaos 610 $afull state hybrid projective synchronization 610 $aself-excited attractor 610 $astability 610 $aPRNG 610 $ainverse full state hybrid projective synchronization 610 $aentropy measure 610 $achaos 610 $achaotic flow 610 $amultistable 610 $acore entropy 610 $amultiscale multivariate entropy 610 $amultistability 610 $anew chaotic system 610 $astrange attractors 610 $achaotic systems 610 $aspatial dynamics 610 $aspectral entropy 610 $aresonator 610 $astochastic (strong) entropy solution 610 $amultichannel supply chain 610 $aHubbard tree 610 $aapproximate entropy 610 $acircuit design 610 $acoexistence 610 $asample entropy 610 $achaotic maps 610 $achaotic map 610 $aGaussian mixture model 610 $aentropy 610 $alaser 610 $aNon-equilibrium four-dimensional chaotic system 610 $amultiple attractors 610 $aprojective synchronization 610 $ahidden attractors 610 $ahidden attractor 610 $achaotic system 610 $aentropy analysis 610 $aself-excited attractors 610 $amultiple-valued 610 $aself-reproducing system 610 $aimplementation 610 $aunknown complex parameters 610 $aoptimization methods 610 $aimage encryption 610 $ageneralized synchronization 610 $auncertain dynamics 610 $afractional order 610 $anonlinear transport equation 610 $aexternal rays 610 $aLyapunov exponents 610 $ainverse generalized synchronization 610 $afixed point 610 $auniqueness 610 $aelectronic circuit realization 610 $asynchronization 610 $aHopf bifurcation 615 7$aHistory of engineering and technology 700 $aMunoz-Pacheco$b Jesus M$01788025 702 $aKengne$b Jacques 702 $aJafari$b Sajad 702 $aVolos$b Christos 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910346839603321 996 $aNonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors$94322321 997 $aUNINA