{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":31,"n_cols":5,"rows_kept":31,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[10,2,10,3],[11,2,11,3],[13,2,13,3],[13,4,13,5],[14,2,14,3],[14,4,14,5],[15,2,15,3],[15,4,15,5],[16,2,16,3],[18,2,18,3],[19,2,19,3],[20,2,20,3],[21,2,21,3],[22,2,22,3],[23,2,23,3],[24,2,24,3],[27,2,27,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNISA990000935700203316"]
[null,null,"Autore",null,"SOURNIA, Jean-Charles"]
[null,null,"Titolo",null,"Storia della medicina / Jean-Charles Sournia ; [traduzione di Giusi Licinio]"]
[null,null,"Pubbl/distr/stampa",null,"Bari : Dedalo, 36"]
[null,null,"ISBN",null,"88-220-0536-8"]
[null,null,"Descrizione fisica",null,"407 p. ; 22 cm"]
[null,null,"Collana",null,"Storia e civiltà"]
[null,null,"Disciplina",null,"610.9"]
[null,null,"Soggetti",null,"Medicina -- Storia"]
[null,null,"Collocazione",null,"IIr A COLL 23/36 (non disponibile)"]
[null,null,"Lingua di pubblicazione",null,"Italiano"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,"2.","Record Nr.",null,"UNISA996466731803316"]
[null,null,"Autore",null,"Leonel Edson Denis"]
[null,null,"Titolo",null,"Scaling laws in dynamical systems / / Edson Denis Leonel"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer, , [2021]"]
[{"$nulls":4},"©2021"]
[null,null,"ISBN",null,"981-16-3544-7"]
[null,null,"Descrizione fisica",null,"1 online resource (258 pages)"]
[null,null,"Collana",null,"Nonlinear physical science"]
[null,null,"Disciplina",null,"530.1595"]
[null,null,"Soggetti",null,"Scaling laws (Statistical physics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Acknowledgements -- Contents -- List of Figures -- List of Tables -- 1 Introduction -- 1.1 Initial Concepts -- 1.2 Summary -- 2 One-Dimensional Mappings -- 2.1 Introduction -- 2.2 The Concept of Stability -- 2.2.1 Asymptotically Stable Fixed Point -- 2.2.2 Neutral Stability -- 2.2.3 Unstable Fixed Point -- 2.3 Fixed Points to the Logistic Map -- 2.4 Bifurcations -- 2.4.1 Transcritical Bifurcation -- 2.4.2 Period Doubling Bifurcation -- 2.4.3 Tangent Bifurcation -- 2.5 Summary -- 2.6 Exercises -- 3 Some Dynamical Properties for the Logistic Map -- 3.1 Convergence to the Stationary State -- 3.1.1 Transcritical Bifurcation -- 3.1.2 Period Doubling Bifurcation -- 3.1.3 Route to Chaos via Period Doubling -- 3.1.4 Tangent Bifurcation -- 3.2 Lyapunov Exponent -- 3.3 Summary -- 3.4 Exercises -- 4 The Logistic-Like Map -- 4.1 The Mapping -- 4.2 Transcritical Bifurcation -- 4.2.1 Analytical Approach to Obtain α, β, z and δ -- 4.2.2 Critical Exponents for the Period Doubling Bifurcation -- 4.3 Extensions to Other Mappings -- 4.3.1 Hassell Mapping -- 4.3.2 Maynard Mapping -- 4.4 Summary -- 4.5 Exercises -- 5 Introduction to Two Dimensional Mappings -- 5.1 Linear Mappings -- 5.2 Nonlinear Mappings -- 5.3 Applications of Two Dimensional Mappings -- 5.3.1 Hénon Map -- 5.3.2 Lyapunov Exponents -- 5.3.3 Ikeda Map -- 5.4 Summary -- 5.5 Exercises -- 6 A Fermi Accelerator Model -- 6.1 Fermi-Ulam Model -- 6.1.1 Jacobian Matrix for the Indirect Collisions -- 6.1.2 Jacobian Matrix for the Direct Collisions -- 6.1.3 Fixed Points -- 6.1.4 Phase Space -- 6.1.5 Phase Space Measure Preservation -- 6.2 A Simplified Version of the Fermi-Ulam Model -- 6.3 Scaling Properties for the Chaotic Sea -- 6.4 Localization of the First Invariant Spanning Curve -- "]
[{"$nulls":4},"6.5 The Regime of Growth -- 6.6 Summary -- 6.7 Exercises -- 7 Dissipation in the Fermi-Ulam Model."]
[{"$nulls":4},"7.1 Dissipation via Inelastic Collisions -- 7.1.1 Jacobian Matrix for the Direct Collisions -- 7.1.2 Jacobian Matrix for the Indirect Collisions -- 7.1.3 The Phase Space -- 7.1.4 Fixed Points -- 7.1.5 Construction of the Manifolds -- 7.1.6 Transient and Manifold Crossings Determination -- 7.1.7 Determining the Exponent δ from the Eigenvalues of the Saddle Point -- 7.2 Dissipation by Drag Force -- 7.2.1 Drag Force of the Type F=-tildeηv -- 7.2.2 Drag Force of the Type F=pmtildeηv2 -- 7.2.3 Drag Force of the Type F=-tildeηvγ -- 7.3 Summary -- 7.4 Exercises -- 8 Dynamical Properties for a Bouncer Model -- 8.1 The Model -- 8.2 Complete Version of the Bouncer Model -- 8.2.1 Successive Collisions -- 8.2.2 Indirect Collisions -- 8.2.3 Jacobian Matrix -- 8.2.4 The Phase Space -- 8.3 A Simplified Version of the Bouncer Model -- 8.4 Numerical Investigation on the Simplified Version -- 8.5 Approximation of Continuum Time -- 8.6 Summary -- 8.7 Exercises -- 9 Localization of Invariant Spanning Curves -- 9.1 The Standard Mapping -- 9.2 Localization of the Curves -- 9.3 Rescale in the Phase Space -- 9.4 Summary -- 9.5 Exercises -- 10 Chaotic Diffusion in Non-Dissipative Mappings -- 10.1 A Family of Discrete Mappings -- 10.2 Dynamical Properties for the Chaotic Sea: A Phenomenological Description -- 10.3 A Semi Phenomenological Approach -- 10.4 Determination of the Probability via the Solution of the Diffusion Equation -- 10.5 Summary -- 10.6 Exercises -- 11 Scaling on a Dissipative Standard Mapping -- 11.1 The Model -- 11.2 A Solution for the Diffusion Equation -- 11.3 Specific Limits -- 11.4 Summary -- 11.5 Exercises -- 12 Introduction to Billiard Dynamics -- 12.1 The Billiard -- 12.1.1 The Circle Billiard -- 12.1.2 The Elliptical Billiard -- 12.1.3 The Oval Billiard -- 12.2 Summary -- 12.3 Exercises -- 13 Time Dependent Billiards -- 13.1 The Billiard."]
[{"$nulls":4},"13.1.1 The LRA Conjecture -- 13.2 The Time Dependent Elliptical Billiard -- 13.3 The Oval Billiard -- 13.4 Summary -- 13.5 Exercises -- 14 Suppression of Fermi Acceleration in the Oval Billiard -- 14.1 The Model and the Mapping -- 14.2 Results for the Case of Fpropto-V -- 14.3 Results for the Case of FproptopmV2 -- 14.4 Results for the Case of Fpropto-Vδ -- 14.5 Summary -- 14.6 Exercises -- 15 A Thermodynamic Model for Time Dependent Billiards -- 15.1 Motivation -- 15.2 Heat Transference -- 15.3 The Billiard Formalism -- 15.3.1 Stationary Estate -- 15.3.2 Dynamical Regime -- 15.3.3 Numerical Simulations -- 15.3.4 Average Velocity over n -- 15.3.5 Critical Exponents -- 15.3.6 Distribution of Velocities -- 15.4 Connection Between the Two Formalism -- 15.5 Summary -- 15.6 Exercises -- Appendix A Expressions for the Coefficients j -- Appendix B Change of Referential Frame -- B.1  Introduction -- B.2  Elastic Collisions -- B.3  Inelastic Collisions -- Appendix C Solution of the Diffusion Equation -- C.1  Introduction -- Appendix D Heat Flow Equation -- D.1  Introduction -- Appendix E Connection Between t and n in a Time Dependent Oval Billiard -- E.1  Introduction -- Appendix F Solution of the Integral to Obtain the Relation Between n and t in the Time Dependent Oval Billiard -- F.1  Introduction -- Appendix  Bibliography."]