Differential equations, dynamical systems, and an introduction to chaos.
Hirsch, Morris W., 1933-
Differential equations, dynamical systems, and an introduction to chaos. - 3rd ed. / Morris W. Hirsch, Stephen Smale, Robert L. Devaney. - Waltham, MA : Academic Press, c2013. - xiv, 418 p. : ill. ; 24 cm.
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.
9780123820105 (hardback)
2012002951
Differential equations.
Algebras, Linear.
Chaotic behavior in systems.
QA372 / .H67 2013
Differential equations, dynamical systems, and an introduction to chaos. - 3rd ed. / Morris W. Hirsch, Stephen Smale, Robert L. Devaney. - Waltham, MA : Academic Press, c2013. - xiv, 418 p. : ill. ; 24 cm.
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.
9780123820105 (hardback)
2012002951
Differential equations.
Algebras, Linear.
Chaotic behavior in systems.
QA372 / .H67 2013