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Differential equations and dynamical systems (Record no. 214178)

MARC details
000 -LEADER
fixed length control field	02913nam a22002417a 4500
003 - CONTROL NUMBER IDENTIFIER
control field	OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20240304095744.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	231124b \|\|\|\|\|\|\|\| \|\|\|\| 00\| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	0387951164 (alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9780387951164
040 ## - CATALOGING SOURCE
Transcribing agency	CUS
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	515.353
Edition number	21
Item number	PER/D
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Perko, Lawrence.
9 (RLIN)	10467
245 10 - TITLE STATEMENT
Title	Differential equations and dynamical systems
250 ## - EDITION STATEMENT
Edition statement	3rd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	New York :
Name of publisher, distributor, etc.	Springer,
Date of publication, distribution, etc.	c2001.
300 ## - PHYSICAL DESCRIPTION
Extent	xiv, 553 p. :
Other physical details	ill. ;
Dimensions	25 cm.
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title	Texts in applied mathematics ;
Volume/sequential designation	7
9 (RLIN)	10468
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	1. Linear systems<br/>1.1 Uncoupled linear systems<br/>1.2 Diagonalization<br/>1.3 Exponentials of operators<br/>1.4 The fundamental theorem for linear systems<br/>1.5 Linear systems in R²<br/>1.6 Complex Eigenvalues<br/>1.7 Multiple Eigenvalues<br/>1.8 Jordan forms<br/>1.9 Stability theory<br/>1.10 Nonhomogeneous linear systems<br/>2. Nonlinear systems: Local theory<br/>2.1 Some preliminary concepts and definitions<br/>2.2 The fundamental existence-uniqueness theorem<br/>2.3 Dependence on initial conditions and parameters<br/>2.4 The maximal interval of existence<br/>2.5 The flow defined by a differential equation<br/>2.6 Linearization<br/>2.7 The stable manifold theorem<br/>2.8 The Hartman-Grobman theorem<br/>2.9 Stability and Liapunov functions<br/>2.10 Saddles, nodes, foci and centers<br/>2.11 Nonhyperbolic critical points in R²<br/>2.12 Center manifold theory<br/>2.13 Normal form theory<br/>2.14 Gradient and Hamiltonian systems<br/>3. Nonlinear systems: Global theory<br/>3.1 Dynamical systems and global existence theorems<br/>3.2 Limit sets and attractors<br/>3.3 Periodic orbits, limit cycles and separatrix cycles<br/>3.4 The Poincaré map<br/>3.5 The stable manifold theorem for periodic orbits<br/>3.6 Hamiltonian systems with two degrees of freedom<br/>3.7 The Poincaré-Bendixson theory in R²<br/>3.8 Lienard systems<br/>3.9 Bendixson's criteria<br/>3.10 The Poincaré sphere and the behavior at infinity<br/>3.11 Global phase portraits and separatrix configurations<br/>3.12 Index theory<br/>4. Nonlinear systems: Bifurcation theory<br/>4.1 Structural stability and Peixoto's theorem<br/>4.2 Bifurcations at nonhyperbolic equilibrium points<br/>4.3 Higher codimension bifurcations at nonhyperbolic equilibrium points<br/>4.4 Hopf bifurcations and bifurcations of limit cycles from a multiple focus<br/>4.5 Bifurcations at nonhyperbolic periodic orbits<br/>4.6 One-parameter families of rotated vector fields<br/>4.7 The global behavior of one-parameter families of periodic orbits<br/>4.8 Homoclinic bifurcations<br/>4.9 Melnikov's method<br/>4.10 Global bifurcations of systems in R²<br/>4.11 Second and higher order Melnikov theory<br/>4.12 Françoise's algorithm for higher order Melnikov functions<br/>4.13 The Takens-Bogdanov bifurcation<br/>4.14 Coppel's problem for bounded quadratic systems<br/>4.15 Finite codimension bifurcations in the class of bounded quadratic systems
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Differential equations, Nonlinear.
9 (RLIN)	10469
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Differentiable dynamical systems.
9 (RLIN)	10470
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type	General Books
Koha issues (borrowed), all copies	2

Holdings
Withdrawn status	Lost status	Source of classification or shelving scheme	Damaged status	Not for loan	Home library	Current library	Shelving location	Date acquired	Source of acquisition	Cost, normal purchase price	Total Checkouts	Full call number	Barcode	Date last seen	Date last checked out	Cost, replacement price	Price effective from	Koha item type
					Central Library, Sikkim University	Central Library, Sikkim University	General Book Section	23/11/2023	76	5031.92	2	515.353 PER/D	053129	04/03/2024	04/03/2024	6289.90	23/11/2023	General Books