Symmetry in Chaos

Michael Field has been a Professor at the University of Houston since 1992. He received his PhD in mathematics from the University of Warwick in 1970. His research interests include ergodic theory, coupled cell systems, the geometric theory of dynamical systems with symmetry and the mechanisms whereby symmetry can lead to complex dynamics in low dimensional systems. Martin Golubitsky is Distinguished Professor of Mathematics and Physical Sciences at the Ohio State University, where he serves as Director of the Mathematical Biosciences Institute. He received his PhD in Mathematics from M.I.T. in 1970 and has been Professor of Mathematics at Arizona State University (1979–83) and Cullen Distinguished Professor of Mathematics at the University of Houston (1983–2008). Dr Golubitsky works in the fields of nonlinear dynamics and bifurcation theory studying the role of symmetry in the formation of patterns in physical systems and the role of network architecture in the dynamics of coupled systems. He has co-authored four graduate texts, one undergraduate text, two nontechnical trade books, and over 100 research papers.

1. Introduction to symmetry and chaos; 2. Planar symmetries; 3. Patterns everywhere; 4. Chaos and symmetry creation; 5. Symmetric icons; 6. Quilts; 7. Symmetric fractals; Appendix A. Picture parameters; Appendix B. Icon mappings; Appendix C. Planar lattices; Bibliography; Index.