TY - BOOK AU - Dancer,E.N. AU - Pol�a�cik,P. TI - Realization of vector fields and dynamics of spatially homogeneous parabolic equations T2 - Memoirs of the American Mathematical Society, SN - 9781470402594 (online) AV - QA3QA377 .A57 no. 668 U1 - 510 s515/.353 21 PY - 1999/// CY - Providence, R.I. PB - American Mathematical Society KW - Differential equations, Parabolic KW - Asymptotic theory KW - Reaction-diffusion equations N1 - "July 1999, volume 140, number 668 (second of 4 numbers)."; Includes bibliographical references (p. 80-82); 1. Introduction; 2. Main results; 3. The center manifold reduction; 4. Center manifolds of (1.1), (1.2); 5. The algebraic independence condition; 6. Perturbation of the domain; 7. A selection of eigenfunctions in high-dimensional eigenspaces; 8. Eigenfunctions with separable variables; 9. Completion of proofs; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0668 UR - http://dx.doi.org/10.1090/memo/0668 ER -