LEADER 04709nam 22007335 450 001 9910299584803321 005 20230706123336.0 010 $a3-662-55545-X 024 7 $a10.1007/978-3-662-55545-3 035 $a(CKB)4100000000586834 035 $a(DE-He213)978-3-662-55545-3 035 $a(MiAaPQ)EBC6286228 035 $a(MiAaPQ)EBC5595704 035 $a(Au-PeEL)EBL5595704 035 $a(OCoLC)1076265393 035 $a(PPN)204530407 035 $a(EXLCZ)994100000000586834 100 $a20170907d2018 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSymmetry in Complex Network Systems $eConnecting Equivariant Bifurcation Theory with Engineering Applications /$fby Visarath In, Antonio Palacios 205 $a1st ed. 2018. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2018. 215 $a1 online resource (XV, 406 p. 259 illus., 112 illus. in color.) 225 1 $aUnderstanding Complex Systems,$x1860-0832 311 $a3-662-55543-3 327 $aA Unifying Theme -- Coupled-Core Fluxgate Magnetometer -- Microelectric Field Sensor -- Superconductive Quantum Interference Devices (SQUID) -- Frequency Conversion -- ANIBOT: Biologically-Inspired Animal Robot -- Gyroscope Systems -- Energy Harvesting -- Spin Torque Nano Oscillators -- Precision Timing -- References. 330 $aThis book bridges the current gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems. As an alternative approach, the authors use the symmetry of the system directly to formulate the appropriate models, and also to analyze the dynamics. Complex systems with symmetry arise in a wide variety of fields, including communication networks, molecular dynamics, manufacturing businesses, ecosystems, underwater vehicle dynamics, celestial and spacecraft dynamics and continuum mechanics. A general approach for their analysis has been to derive a detailed model of their individual parts, connect the parts and note that the system contains some sort of symmetry, then attempt to exploit this symmetry in order to simplify numerical computations. This approach can result in highly complicated models that are difficult to analyze even numerically. The alternative approach, while nonstandard, is not entirely new among the mathematics community. However, there is much less familiarity with the techniques of symmetry-breaking bifurcation, as they apply to the engineering, design and fabrication, of complex systems, in particular, nonlinear sensor devices with special emphasis on the conceptualization and development of new technologies of magnetic sensors such as fluxgate magnetometers and SQUID (Superconducting Quantum Interference Devices), E-- (electric-field) sensors, and communication and navigation systems that require multiple frequencies of operation, such as radar and antenna devices as well as gyroscopic systems. 410 0$aUnderstanding Complex Systems,$x1860-0832 606 $aComputational complexity 606 $aStatistical physics 606 $aDynamical systems 606 $aDynamics 606 $aErgodic theory 606 $aVibration 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aComputational complexity. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aVibration. 615 14$aComplexity. 615 24$aComplex Systems. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aVibration, Dynamical Systems, Control. 615 24$aStatistical Physics and Dynamical Systems. 676 $a516.1 700 $aIn$b Visarath$4aut$4http://id.loc.gov/vocabulary/relators/aut$01060273 702 $aPalacios$b Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299584803321 996 $aSymmetry in Complex Network Systems$92512079 997 $aUNINA