02720nam 2200589 450 991048098520332120170816143302.01-4704-0384-6(CKB)3360000000464970(EBL)3114501(SSID)ssj0000973840(PQKBManifestationID)11594954(PQKBTitleCode)TC0000973840(PQKBWorkID)10984327(PQKB)11383051(MiAaPQ)EBC3114501(PPN)195416724(EXLCZ)99336000000046497020030430h20032003 uy| 0engur|n|---|||||txtccrRadially symmetric patterns of reaction-diffusion systems /Arnd ScheelProvidence, Rhode Island :American Mathematical Society,[2003]©20031 online resource (102 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 786"Volume 165, number 786 (third of 4 numbers)."0-8218-3373-1 Includes bibliographical references (pages 83-86).""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Instabilities in one space dimension""; ""1. Introduction""; ""2. Classifying instabilities of reaction-diffusion systems""; ""3. Stationary bifurcations and spatial dynamics""; ""4. Oscillatory bifurcations and spatial dynamics""; ""Chapter 3. Stationary radially symmetric patterns""; ""1. Classification and radial dynamics""; ""2. Center manifolds""; ""3. Expansions and normal forms""; ""4. Matching and transversality""; ""Chapter 4. Time-periodic radially symmetric patterns""; ""1. Radial dynamics on time-periodic functions""""2. Center manifolds""""3. The reduced vector field for a Hopf instability""; ""4. Heteroclinics in the reduced equation""; ""5. Persistence""; ""Chapter 5. Discussion""; ""1. Stability""; ""2. Beyond radial symmetry""; ""3. Boundaries and holes""; ""4. Concluding remarks""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 786.Reaction-diffusion equationsBifurcation theoryNormal forms (Mathematics)Electronic books.Reaction-diffusion equations.Bifurcation theory.Normal forms (Mathematics)510 s515/.353Scheel Arnd1966-908032MiAaPQMiAaPQMiAaPQBOOK9910480985203321Radially symmetric patterns of reaction-diffusion systems2030950UNINA