LEADER 01134nam0 2200349 450 001 000031160 005 20200107131651.0 010 $a978-88-217-5793-8 100 $a20161014d2016----km-y0itay50------ba 101 0 $aita 102 $aIT 105 $ay-------001yy 200 1 $aIAS/IFRS$fa cura di Flavio Dezzani, Paolo Pietro Biancone, Donatella Busso 205 $a4. ed. 210 $aMilanofiori. Assago$cIPSOA$d2016 215 $aLXVI, 2966 p.$cill.$d25 cm 225 2 $aIPSOA Manuali 410 0$12001$aIPSOA Manuali 451 1$1001000030077$1001000029621 451 1$a001000032534 500 10$aIAS/IFRS$957925 532 10$aInternational Accounting Standards- International Financial Reporting Standard(s) 610 1 $aAziende$aContabilità$aStandardizzazione 676 $a657.0218$v22$9Contabilità Standard (Norme di unificazione) 702 1$aDezzani,$bFlavio 702 1$aBiancone,$bPaolo Pietro 702 1$aBusso,$bDonatella 801 0$aIT$bUNIPARTHENOPE$c20161014$gREICAT$2UNIMARC 912 $a000031160 951 $a657-I/17$b46327$cNAVA1$d2016 996 $aIAS$957925 997 $aUNIPARTHENOPE LEADER 04124nam 22005895 450 001 9910734877903321 005 20230713202238.0 010 $a981-9922-44-5 024 7 $a10.1007/978-981-99-2244-4 035 $a(CKB)27588478700041 035 $a(MiAaPQ)EBC30645968 035 $a(Au-PeEL)EBL30645968 035 $a(DE-He213)978-981-99-2244-4 035 $a(PPN)272251801 035 $a(EXLCZ)9927588478700041 100 $a20230713d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamical Phase Transitions in Chaotic Systems /$fby Edson Denis Leonel 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (83 pages) 225 1 $aNonlinear Physical Science,$x1867-8459 311 $a9789819922437 320 $aIncludes bibliographical references. 327 $aPosing the problems -- A Hamiltonian and a mapping -- A phenomenological description for chaotic diffusion -- A semi phenomenological description for chaotic diffusion -- A solution for the diffusion equation -- Characterization of a continuous phase transition in an area preserving map -- Scaling invariance for chaotic diffusion in a dissipative standard mapping -- Characterization of a transition from limited to unlimited diffusion -- Billiards with moving boundary -- Suppression of Fermi acceleration in oval billiard -- Suppressing the unlimited energy gain: evidences of a phase transition. 330 $aThis book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering. 410 0$aNonlinear Physical Science,$x1867-8459 606 $aDynamical systems 606 $aMathematical analysis 606 $aCondensed matter 606 $aDynamical Systems 606 $aScale Invariance 606 $aPhase Transitions and Multiphase Systems 615 0$aDynamical systems. 615 0$aMathematical analysis. 615 0$aCondensed matter. 615 14$aDynamical Systems. 615 24$aScale Invariance. 615 24$aPhase Transitions and Multiphase Systems. 676 $a003.857 700 $aLeonel$b Edson Denis$0993686 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910734877903321 996 $aDynamical Phase Transitions in Chaotic Systems$93424728 997 $aUNINA