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[null,"1.","Record Nr.",null,"UNINA9910788895603321"]
[null,null,"Autore",null,"Levi Mark <1951->"]
[null,null,"Titolo",null,"Qualitative analysis of the periodically forced relaxation oscillations / / Mark Levi"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [1981]"]
[{"$nulls":4},"©1981"]
[null,null,"ISBN",null,"1-4704-0651-9"]
[null,null,"Descrizione fisica",null,"1 online resource (163 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 244"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"514/.74"]
[null,null,"Soggetti",null,"Differentiable dynamical systems"]
[{"$nulls":4},"Oscillations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 32, number 244 (first of 3 numbers).\""]
[null,null,null,"Nota di bibliografia","Bibliography: pages 146-147."]
[null,null,"Nota di contenuto",null,"\"\"Table of Contents\"\"; \"\"Â1. Introduction\"\"; \"\"1.1. A short history of the problem\"\"; \"\"1.2. Classical results\"\"; \"\"1.3. Later developments\"\"; \"\"1.4. Some questions posed by the classical results\"\"; \"\"1.5. Outline of the paper\"\"; \"\"Â2. Results\"\"; \"\"2.1. Geometry of Poincare map (the main result)\"\"; \"\"2.2. Qualitative analysis of the equation-results\"\"; \"\"2.3. An informal explanation of the shape of Poincare map;  geometry of Levinson's results\"\"; \"\"A. Global behaviour of the phase flow\"\"; \"\"B. Geometry of Levinson's results\"\"; \"\"C. An application to the large amplitude case\"\""]
[{"$nulls":4},"\"\"2.4. A family of annulus maps\"\"\"\"A. An example of a family of annulus maps\"\"; \"\"B. Projected circle maps;  notations\"\"; \"\"C. Hypothesis\"\"; \"\"D. Analysis of the map\"\"; \"\"Â3. Proof of the Hypothesis for an equation of van der Pol type\"\"; \"\"3.0. Statement of the main result\"\"; \"\"3.1. Construction of the window map\"\"; \"\"A. Factorization\"\"; \"\"B. Construction of the window r\"\"; \"\"3.2. Global behaviour of the solutions;  Linearized and Hessian systems\"\"; \"\"A. Behaviour of the solutions\"\"; \"\"B. Linearized and Hessian systems\"\"; \"\"3.3. Deformation of the window r with the flow\"\""]
[{"$nulls":4},"\"\"3.4. Proof of H1 \"\"\"\"3.5. Proof of H2\"\"; \"\"3.6. Nondegeneracy of the homoclinic tangency\"\"; \"\"Â4. Qualitative analysis of the equation â€? proof of Theorem 2.2\"\"; \"\"Appendix to Â2.4. â€? Proof of Theorem 2.3\"\"; \"\"Appendix to Â3.1\"\"; \"\"A. Two auxiliary lemmas\"\"; \"\"B. Proof of Proposition 3.1\"\"; \"\"C. Proof of Proposition 3.2\"\"; \"\"D. Proof of the "]
[{"$nulls":4},"auxiliary lemmas\"\"; \"\"Appendix to Â3.2\"\"; \"\"A. Proof of theorem 3.2\"\"; \"\"B. Proof of Lemmas 3.2 â€? 3.6\"\"; \"\"Appendix to Â3.4. â€? Proof of Proposition 3.4\"\"; \"\"A. Connection between f[sub(Ï?)] and g[sub(Ï?)]\"\"; \"\"B. Proof of Proposition 3.4\"\""]
[{"$nulls":4},"\"\"C. Proofs of Lemmas A3.4 â€? 1,2,3\"\"\"\"References\"\""]