| 000 | 02245 a2200277 4500 | ||
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| 003 | NISER | ||
| 005 | 20260210160528.0 | ||
| 008 | 260210b |||||||| |||| 00| 0 hin d | ||
| 020 |
_a9780387951164 _qHardback |
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| 040 |
_aNISER LIBRARY _beng _cNISER LIBRARY |
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| 082 | 0 | 4 |
_a517.93 _bPER-D |
| 100 | 1 | _aPerko, Lawrence | |
| 245 | 1 | 0 | _aDifferential equations and dynamical systems |
| 250 | _a3rd edition | ||
| 260 |
_aNew York : _bSpringer, _c2001. |
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| 300 |
_axiv, 555 pages : _billustrations ; _c25 cm. |
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| 490 |
_aTexts in applied mathematics ; _v7 |
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| 504 | _aIncludes bibliographical references (p. [539]-545 and index. | ||
| 520 | _aThis textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem, the use of the Poincare map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles. In addition to minor corrections and updates throughout, this new edition contains materials on higher order Melnikov functions and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems. | ||
| 650 | 0 | _aDifferential equations, Nonlinear | |
| 650 | 0 | _aDifferentiable dynamical systems | |
| 650 | 0 | _aFluid- and aerodynamics | |
| 856 | 4 | 1 |
_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-1-4613-0003-8/1 |
| 856 | 4 | 1 |
_3Reviews _uhttps://www.goodreads.com/book/show/1812881.Differential_Equations_and_Dynamical_Systems#CommunityReviews |
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_cBK _2udc |
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| 999 |
_c36671 _d36671 |
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