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UNINA9910480769303321 |
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Autore |
Levi Mark <1951-> |
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Titolo |
Qualitative analysis of the periodically forced relaxation oscillations / / Mark Levi |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1981] |
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©1981 |
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ISBN |
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Descrizione fisica |
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1 online resource (163 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 244 |
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Disciplina |
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Soggetti |
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Differentiable dynamical systems |
Oscillations |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 32, number 244 (first of 3 numbers)." |
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Nota di bibliografia |
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Bibliography: pages 146-147. |
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Nota di contenuto |
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""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"" |
""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"" |
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