LEADER 05203nam 22008175 450 001 9910300420003321 005 20251107172341.0 010 $a3-319-15284-X 024 7 $a10.1007/978-3-319-15284-4 035 $a(CKB)3710000000379598 035 $a(SSID)ssj0001465745 035 $a(PQKBManifestationID)11817467 035 $a(PQKBTitleCode)TC0001465745 035 $a(PQKBWorkID)11477950 035 $a(PQKB)10056770 035 $a(DE-He213)978-3-319-15284-4 035 $a(MiAaPQ)EBC6307093 035 $a(MiAaPQ)EBC5591343 035 $a(Au-PeEL)EBL5591343 035 $a(OCoLC)905901875 035 $a(PPN)184895782 035 $a(EXLCZ)993710000000379598 100 $a20150317d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSynchronization of Integral and Fractional Order Chaotic Systems $eA Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time /$fby Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Gian Carlo Gómez-Cortés 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XXIV, 242 p. 115 illus., 80 illus. in color.) 225 1 $aUnderstanding Complex Systems,$x1860-0840 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-319-15283-1 327 $aControl theory and synchronization -- A model-free based proportional reduced-order observer design for the synchronization of Lorenz system -- A Model-Free Sliding Observer to Synchronization Problem Using Geometric Techniques -- Experimental synchronization by means of observers -- Synchronization of an uncertain Rikitake System with parametric estimation -- Secure Communications and Synchronization via a Sliding-mode Observer -- Synchronization and anti-synchronization of chaotic systems: A differential and algebraic approach -- Synchronization of chaotic Liouvillian systems: An application to Chua?s oscillator -- Synchronization of Partially unknown Nonlinear Fractional Order Systems -- Generalized Synchronization via the differential primitive element -- Generalized synchronization for a class of non-differentially flat and Liouvillian chaotic systems -- Generalized multi-synchronization by means of a family of dynamical feedbacks -- Fractional generalized synchronizationin nonlinear fractional order systems via a dynamical feedback -- An Observer for a Class of Incommensurate Fractional Order Systems -- Appendex -- Index. 330 $aThis book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical interest. 410 0$aUnderstanding Complex Systems,$x1860-0840 606 $aNonlinear Optics 606 $aMultibody systems 606 $aVibration 606 $aMechanics, Applied 606 $aPhysics 606 $aDynamics 606 $aNonlinear theories 606 $aNonlinear Optics 606 $aMultibody Systems and Mechanical Vibrations 606 $aClassical and Continuum Physics 606 $aApplied Dynamical Systems 615 0$aNonlinear Optics. 615 0$aMultibody systems. 615 0$aVibration. 615 0$aMechanics, Applied. 615 0$aPhysics. 615 0$aDynamics. 615 0$aNonlinear theories. 615 14$aNonlinear Optics. 615 24$aMultibody Systems and Mechanical Vibrations. 615 24$aClassical and Continuum Physics. 615 24$aApplied Dynamical Systems. 676 $a530 700 $aMartínez-Guerra$b Rafael$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791790 702 $aPérez-Pinacho$b Claudia A$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGómez-Cortés$b Gian Carlo$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300420003321 996 $aSynchronization of Integral and Fractional Order Chaotic Systems$92512324 997 $aUNINA