LEADER 03321nam 2200589 450 001 9910480395803321 005 20170822144132.0 010 $a1-4704-0559-8 035 $a(CKB)3360000000465129 035 $a(EBL)3114041 035 $a(SSID)ssj0000888861 035 $a(PQKBManifestationID)11483283 035 $a(PQKBTitleCode)TC0000888861 035 $a(PQKBWorkID)10866992 035 $a(PQKB)11226820 035 $a(MiAaPQ)EBC3114041 035 $a(PPN)195418344 035 $a(EXLCZ)993360000000465129 100 $a20150415h20092009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations /$fTobias H. Ja?ger 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009. 210 4$dİ2009 215 $a1 online resource (120 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 201, Number 945 300 $a"Volume 201, Number 945 (fourth of 5 numbers)." 311 $a0-8218-4427-X 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Basic definitions and notations""; ""1.3. Examples of non-smooth saddle-node bifurcations""; ""1.4. The mechanism: Exponential evolution of peaks""; ""Chapter 2. Statement of the main results and applications""; ""2.1. A general setting for saddle-node bifurcations in qpf interval maps""; ""2.2. Sink-source-orbits and the existence of SNA""; ""2.3. Non-smooth bifurcations""; ""2.4. Application to the parameter families""; ""Chapter 3. Saddle-node bifurcations and sink-source-orbits"" 327 $a""3.1. Equivalence classes of invariant graphs and the essential closure""""3.2. Saddle-node bifurcations: Proof of Theorem 2.1""; ""3.3. Sink-source-orbits and SNA: Proof of Theorem 2.4""; ""Chapter 4. The strategy for the construction of the sink-source-orbits""; ""4.1. The first stage of the construction""; ""4.2. Dealing with the first close return""; ""4.3. Admissible and regular times""; ""4.4. Outline of the further strategy""; ""Chapter 5. Tools for the construction""; ""5.1. Comparing orbits""; ""5.2. Approximating sets""; ""5.3. Exceptional intervals and admissible times"" 327 $a""5.4. Regular times""""Chapter 6. Construction of the sink-source orbits: One-sided forcing""; ""6.1. Proof of the induction scheme""; ""Chapter 7. Construction of the sink-source-orbits: Symmetric forcing""; ""7.1. Proof of the induction scheme""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 201, Number 945. 606 $aAttractors (Mathematics) 606 $aBifurcation theory 606 $aDifferentiable dynamical systems 608 $aElectronic books. 615 0$aAttractors (Mathematics) 615 0$aBifurcation theory. 615 0$aDifferentiable dynamical systems. 676 $a515/.39 700 $aJa?ger$b Tobias H.$0943895 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480395803321 996 $aThe creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations$92130672 997 $aUNINA