The new edition of this monograph provides a comprehensive overview of the field of chaos research. The authors present recent developments such as synchronization and systems with many degrees of freedom but put also a strong emphasis on the comprehensible presentation of mathematical foundations. Illustrated in color, this fourth edition features sections on chaos control, unstable periodic orbits, the synchronization of chaotic systems, and spatiotemporal chaos. Students about to begin research as well as practising scientists will find this book well worth reading.