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Differential equations and dynamical systems / Lawrence Perko

By: Material type: TextTextSeries: Texts in applied mathematics ; 7Publication details: New York Springer 2001Edition: 3rd edDescription: 553 pISBN:
  • 9788181281838
  • 9780387951164
Subject(s): DDC classification:
  • 515.353 PER-L
Online resources:
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Holdings
Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Course Reference Books Course Reference Books BITS Pilani Hyderabad 510 Text & Reference Section (Student cannot borrow these books) 515.353 PER-L (Browse shelf(Opens below)) Available 36814
Course Reference Books Course Reference Books BITS Pilani Hyderabad 510 Text & Reference Section (Student cannot borrow these books) 515.353 PER-L (Browse shelf(Opens below)) Available DST FIST FUND 28701
Course Reference Books Course Reference Books BITS Pilani Hyderabad 510 Text & Reference Section (Student cannot borrow these books) 515.353 PER-L (Browse shelf(Opens below)) Available 10161
Total holds: 0

This 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. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.

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