LEADER 05078nam 22007335 450 001 9910300540503321 005 20200629195745.0 010 $a3-319-66766-1 024 7 $a10.1007/978-3-319-66766-9 035 $a(CKB)4100000006674949 035 $a(DE-He213)978-3-319-66766-9 035 $a(MiAaPQ)EBC6298621 035 $a(PPN)230539602 035 $a(EXLCZ)994100000006674949 100 $a20180915d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear Systems, Vol. 1 $eMathematical Theory and Computational Methods /$fedited by Victoriano Carmona, Jesús Cuevas-Maraver, Fernando Fernández-Sánchez, Elisabeth García- Medina 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XV, 424 p. 139 illus., 115 illus. in color.) 225 1 $aUnderstanding Complex Systems,$x1860-0832 300 $aIncludes index. 311 $a3-319-66765-3 327 $aPart 1 - Bifurcation Analysis -- Analytic integrability of some degenerate centers -- Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system -- Normal forms for a class of tridimensional vector fields with free-divergence in its first component -- Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system -- Part 2 - Wave Equations -- Solitons and vortices in the Nonlinear Dirac Equation -- Stochastic Korteweg - de Vries type equations -- Exact and adiabtic invariants of KdV type equations -- Gravitational waves as nonlinear waves and solitons -- Part 3 - Other Differential and Difference Equations -- On the dynamics of the nonlinear logistic difference equation with two delays -- Simplifying singular perturbation theory in the canard regime using piecewise-linear (PWL) systems -- Principal solutions and variation of constants formula for a class of functional differential equations -- Diffusion Equations in Inhomogeneous Media from the Master Equation -- Part 4 - Computational Methods -- On the numerical approximation to generalized Ostrovsky equations -- Simulation of Laser Dynamics with Cellular Automata: progress and challenges. 330 $aThis book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics. 410 0$aUnderstanding Complex Systems,$x1860-0832 606 $aStatistical physics 606 $aMathematical physics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aSystem theory 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aStatistical physics. 615 0$aMathematical physics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aSystem theory. 615 14$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aMathematical Physics. 615 24$aMathematical and Computational Engineering. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aComplex Systems. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.15 702 $aCarmona$b Victoriano$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCuevas-Maraver$b Jesús$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFernández-Sánchez$b Fernando$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGarcía- Medina$b Elisabeth$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300540503321 996 $aNonlinear Systems, Vol. 1$92529261 997 $aUNINA