TY - BOOK AU - Eckmann,Jean-Pierre AU - Koch,Hans AU - Wittwer,Peter TI - Computer-Assisted Proof of Universality for Area-Preserving Maps T2 - Memoirs of the American Mathematical Society SN - 9781470406998 AV - QA614.83 -- .E25 1984eb U1 - 510 s;514/.7 PY - 1984/// CY - Providence PB - American Mathematical Society KW - Hamiltonian systems -- Data processing KW - Mappings (Mathematics) -- Data processing KW - Error analysis (Mathematics) KW - Electronic books N1 - Intro -- TABLE OF CONTENTS -- INTRODUCTION -- PART I. ANALYSIS OF DOUBLING -- 1. Feigenbaum universality for area-preserving maps -- 2. Generating functions -- 3. Further reduction of the problem -- 4. Spectral properties -- 5. Construction of the operator L -- 6. Construction of the doubling operator -- PART II. FUNCTIONAL ANALYSIS ON THE COMPUTER -- 1. Internal and neighborhood arithmetics -- 2. Spectral theory -- 3. Internal and neighborhood arithmetics on a computer -- List of correspondences -- PART III. PROOFS -- 1. Computer program -- 2. Program output -- Table 1 -- REFERENCES UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113731 ER -