TY - BOOK AU - Hirsch,Morris W. AU - Smale,Stephen AU - Devaney,Robert L. TI - Differential equations, dynamical systems, and an introduction to chaos SN - 9780123820105 (hardback) AV - QA372 .H67 2013 PY - 2013/// CY - Waltham, MA PB - Academic Press KW - Differential equations KW - Algebras, Linear KW - Chaotic behavior in systems N1 - Includes bibliographical references (p. 411-413) and index; First order equations -- Planar linear systems -- Phase portraits for planar systems -- Classification of planar systems -- Higher dimensional linear algebra -- Higher dimensional linear systems -- Nonlinear systems -- Equilibria in nonlinear systems -- Global nonlinear techniques -- Closed orbits and limit sets -- Applications in biology -- Applications in circuit theory -- Applications in mechanics -- The Lorenz system -- Discrete dynamical systems -- Homo-clinic phenomena -- Existence and uniqueness revisited ER -