|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Wang D. (ed.), Zheng Z. (ed.) — Differential Equations with Symbolic Computations |
|
|
|
| Предметный указатель |
 -homogeneous 309
Abel 57
Abel differential equation 57 59
Algebraic critical 146
Algebraic differential equation 201
Algebraic genus 204 208
Algebraic limit cycle 55
Algebraic multiplicity 146
Algebraic resultant 333
Algebraic singular point 124
Algebrico-differential equations 343
Algebrico-differential polynomial 345
Algorithm for Finding Time-Reversible Systems 81
Analytic equalities 86
Analytic equality 95
Ascending set 344
Attractive region 121
Autoreduced 354 356
Bamon 55
Basic set 344
Bautin 27
Bautin ideal 72
Beke 239
bi-Hamiltonian 308
Bifurcation 1 121
Bifurcation at infinity 2
Binary invariant 76
Bouquet 201
Boussinesq equations 320
Briot 201
Bruno, A.D. 173
Burgers 308
Burgers equation 297
C-integrability 319
C-integrable 308 320
Carleman linearization method 174
Carnicer, Manuel M. 144
Carnicer’s theorem 144
Center 4 23 24 37 71 160
Center problem 67
Center variety 24 72
Center-focus problem 159
Char-set 344
Characteristic functions 293
Characteristic number 76
Characteristic orbit 58
Characteristic set 344
Characteristic vector 76
class 344
Classical symmetry argument 5
Cofactor 143
Compatibility condition 346 349
Compatibility differential polynomial 343 346
Completed pol 358
Completed polset 358
Completely reducible partial differential system 217
Completion 354
Complex center 41
Complex isochronous center 41
Computer algebra 173 213
Condens.m 308
ConLaw 294
ConLaw1-4 308
Conservation law 255 261 281 291 307 310 317 319
Conservation law identity 294
Conservation law, discrete 281
Conservation laws 308 309 317 319—321
Conserved density 308 310—313 317 318 320
Conserved flux 310 316 317
CONSLAW 307—309 316—318 321
Constant 240
Coordinate 353
Coupled Korteweg — de Vries (cKdV) equations 258 259 260 262 273
Crack 299
Cyclicity 23
d-char-set 346
D-finite 215
D-finite system 213
Darboux function 56
Darboux integrable 56
Darboux polynomial 143
Darboux, Jean-Gaston 144
de Vries 307
Decomposable 241
Decomposable partial differential system 217
Degree 2 95
Degree-tuple 356
Degree-tuple-set 356
density 261 272
Density, discrete 281
Derivation 240
Devil problem 348
Dicriticality 146
Difference test 282
Difference, total 282
Differential characteristic set 346
Differential elimination 327
Differential elimination ideal 328 332
Differential extension field 244
Differential field 240
Differential Groebner basis 293
Differential ideal 351
Differential module 239 240
Differential resultant 327 333
Differential submodule 239
Differential zero-decomposition theorem 343
Differential-difference equation 279
Differential-difference equations 308
Dilation, invariant 259 280
Dilation, symmetry 259 280
Direct sum 241
Displacement function 4
Divergence 263 264
Divergence free 257
Divergence test 5
Divergence, invert 268
Divergence, test 264 265
Divergence, total 261
Divergence-equivalent 270 272
Divisor 353
Down-shift operator 281
Drinfel’d — Sokolov — Wilson equations 319
Dual module 241
Duffing’s equation 181
Dulac’s theorem 2
Dynamic model 109
Dynamical system 85 173
Ecalle 55
Elimination ideal 329
Equilibrium 109
Equivalent 244 281
Equivalent differential systems 216
Eremenko 201
Euler operator 264 309 313 314
Euler operator, discrete 283 284
Euler operator, higher 265 266 283
Euler — Lagrange equation 309 313
Exactness 263
Exactness, criterion 265 282
Exactness, discrete 282
Exterior power 241
Factorization 213
Fast system 122
FGLM algorithm 32
Field of constants 215
Fine focus 4
First integral 55 59 67
First integral, Darboux 56 63
First integral, Liouvillian 60
First order algebraic differential equation 201
| Flux 261 272
Flux, discrete 281
Focal value 160
Focal values 4
Focus quantities 71
Fold points 124
FORM 308
Forward difference invert 284
Forward difference operator 281
Frechet derivative 261
Fuchs 201
Fuchs conditions 208
Fuchs theorem 204
Fuchs’ conditions 202 204
Fuchs’s conditions 201
Gardner 308
Generalized 5th order KdV equation 316
Generalized differential resultant 327 334
Generalized differential resultant ideal 334
Generalized differential resultant system 327 334
Generalized NLS equations 299
Generalized resultant 327 330
Generalized resultant ideal 330
Generalized resultant system 330
Generalized symmetry 308
Global bifurcation 2
Goektas 308
Good basis 343 348
Groebner basis 32 347 351 352 360
Hamiltonian 308
Heisenberg algebra 308
Henon — Heiles’ system 185
Hereman 308
Heteroclinic orbit 3
Higher Euler operator, discrete 283
Higher than 353 355 357
Higher than, lower than, or identical to 356
Higher than, lower than, or incomparable to 356
hilbert 55
Hilbert numbers 2
Hirota — Satsuma system 258
Homoclinic orbit 3
Homotopy operator 255 267 268 270
Homotopy operator, discrete 284
Hopf bifurcation 123
Hyperexponential 244
Hyperexponential solution 239
Ilyashenko 55
Impasse surface 124
Implicit function theorem 123
Incremental computation 159
Infinite parameter conservation laws 291
infinity 38
Initial 344
Initial set 164
Integrability 55
Integrability condition 243 345
Integrability conditions 215
Integrability differential polynomial 343 346
Integrability testing 255
Integrable system 239 243
Integration of exact PDEs 293 299
Internal 241
Invariant algebraic curve 143
Invariant of the matrix group 74
Invariant symmetry 309
Invariants of the rotation group 75
InvariantsSymmetries 319
Inverse integrating factor 56 58 63
Involutive basis 347
Irrotational 257
Isochronous center 37
Isomorphism 241
IST 308
Ito equation 316 317 319
Kac — van Moerbeke (KvM) lattice 280 281
Kadomtsev — Petviasvili 304
Kamke 57
KdV equation 308 309
KK equation 316 317 319
Korteweg 307
Kovacic 202
Kovacic’s algorithm 205
Lagrangian 308
Lattice, Kac — van Moerbeke 280 281
Lattice, semi-discrete 279
Lattice, Toda 280 281 285
Lax equation 316 317
Lax pari 308
LCE 85
Leading coefficient 356
Leading degree-tuple 356
Leading monom 356
Leading term 356
Leading variable 95
Li 202
Liapunov quantities 24
Lie invariants 43
Lie — Euler operator 265 266 283
Lie — Euler operator, discrete 283
Lie-point symmetry 308
Lienard equation 1 6
LIMIT 159
Limit cycle 1 23 55 56 61
Limit cycle, algebraic 61 63
Linear differential equations 213
Linearization 291
Linearization of PDEs 291
Liouville 202
Liouville equation 294
Lisp 180
Local algebraic solution 146
Local analytic sets 177
Local bifurcation 2
Local families of periodic solutions 177
Local families of periodic solutions of the Henon — Heiles system 188
Lorenz system 85
Lotka — Volterra system 155
Lower than 353 355 357
Lueroth’s Theorem 203
Lyapunov characteristic exponent 85
Lyapunov function 4
Lyapunov number 115
Lyapunov quantity 5
M-part 359
M-pol 358
Maple 1 111 115 117 118 207 209 308
Mathematica 308
Mathematica system 180
mathscr  217
mathscr E(S) 217
MATLAB 1
Matsuda 201
Maximal LCE 85
Maximum 354
Membership problem 347
Miura 308
Modular algorithm 213
Monodromic singular point 58
Monom 356
Morphism 241
Movable critical point 202
Multiple 353
Multiple bifurcation 23
Multiple Hopf bifurcation 23
Multiplicativity 346 347
Multiplier 354
N-part 359
N-pol 359
Newton polygon 146
|
|
|
| Реклама |
|
|
|
|
|
О проекте