03321nam 2200589 450 991048039580332120170822144132.01-4704-0559-8(CKB)3360000000465129(EBL)3114041(SSID)ssj0000888861(PQKBManifestationID)11483283(PQKBTitleCode)TC0000888861(PQKBWorkID)10866992(PQKB)11226820(MiAaPQ)EBC3114041(PPN)195418344(EXLCZ)99336000000046512920150415h20092009 uy 0engur|n|---|||||txtccrThe creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations /Tobias H. JägerProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (120 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 201, Number 945"Volume 201, Number 945 (fourth of 5 numbers)."0-8218-4427-X Includes bibliographical references.""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""""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""""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""Memoirs of the American Mathematical Society ;Volume 201, Number 945.Attractors (Mathematics)Bifurcation theoryDifferentiable dynamical systemsElectronic books.Attractors (Mathematics)Bifurcation theory.Differentiable dynamical systems.515/.39Jäger Tobias H.943895MiAaPQMiAaPQMiAaPQBOOK9910480395803321The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations2130672UNINA