Katok, Anatole; Hasselblatt, Boris Introduction to the modern theory of dynamical systems. (English) Zbl 0878.58020 Encyclopedia of Mathematics and Its Applications. 54. Cambridge: Cambridge Univ. Press. xviii, 802 p. (1995). For the review see the paperback version (1997; Zbl 0878.58019, see above). Cited in 8 ReviewsCited in 1413 Documents MSC: 37Cxx Smooth dynamical systems: general theory 37-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory 37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory 37A99 Ergodic theory 37D99 Dynamical systems with hyperbolic behavior 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 37E99 Low-dimensional dynamical systems Keywords:phase space; low-dimensional dynamical systems; hyperbolic dynamical systems; ergodic theory; topological dynamics; smooth dynamical systems; Hamilton dynamics; symplectic dynamics; flows; discrete-time; continuous-time; orbit growth; variational aspects Citations:Zbl 0878.58019 PDFBibTeX XMLCite \textit{A. Katok} and \textit{B. Hasselblatt}, Introduction to the modern theory of dynamical systems. Cambridge: Cambridge Univ. Press (1995; Zbl 0878.58020)