Details

Autor(en) / Beteiligte

• Golubitsky, Martin
• Stewart, Ian

Titel

The Symmetry Perspective : From Equilibrium to Chaos in Phase Space and Physical Space [Elektronische Ressource]

Ist Teil von

• Progress in Mathematics : 200

Ort / Verlag

Basel : Birkhäuser Basel

Erscheinungsjahr

2002

Link zum Volltext

• Volltext

Link zu anderen Inhalten

• Volltext

Beschreibungen/Notizen

• Pattern formation in physical systems is one of the major research frontiers of mathematics. A central theme of this book is that many instances of pattern formation can be understood within a single framework: symmetry. The book applies symmetry methods to increasingly complex kinds of dynamic behavior: equilibria, period-doubling, time-periodic states, homoclinic and heteroclinic orbits, and chaos. Examples are drawn from both ODEs and PDEs. In each case the type of dynamical behavior being studied is motivated through applications, drawn from a wide variety of scientific disciplines ranging from theoretical physics to evolutionary biology. An extensive bibliography is provided