Knowledge (XXG)

Boolean delay equation

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316: 20:(BDE) is an evolution rule for the state of dynamical variables whose values may be represented by a finite discrete numbers os states, such as 0 and 1. As a novel type of semi-discrete 357: 105:
Cavalcante, Hugo L. D. de S.; Gauthier, Daniel J.; Socolar, Joshua E. S.; Zhang, Rui (2010). "On the origin of chaos in autonomous Boolean networks".
88:, which produces periodic oscillations. More complex equations can display richer behavior, such as nonperiodic and chaotic (deterministic) behavior. 28:
are models with Boolean-valued variables that evolve in continuous time. Since at the present time, most phenomena are too complex to be modeled by
386: 216: 350: 217:"An adjustable aperiodic model class of genomic interactions using continuous time Boolean networks (Boolean delay equations)" 381: 29: 376: 343: 178:
Wright DG, Stocker TF, Mysak LA (1990). "A note on quaternary climate modelling using Boolean delay equations".
260:
Ghil M, Zaliapin I, Coluzzi B (2008). "Boolean Delay Equations: A simple way of looking at complex systems".
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
295: 269: 203: 156: 114: 244: 148: 140: 21: 327: 287: 252: 236: 195: 132: 53: 37: 64: 283: 232: 191: 128: 41: 370: 207: 299: 315: 160: 291: 57: 49: 144: 33: 248: 152: 136: 274: 199: 45: 240: 32:(as continuous infinite-dimensional systems), BDEs are intended as a ( 119: 36:) first step on the challenging road to further understanding and 40:
them. For instance, one can mention complex problems in
331: 215:Oktem H, Pearson R, Egiazarian K (December 2003). 351: 8: 358: 344: 273: 118: 97: 56:where much of the discourse is still 7: 312: 310: 330:. You can help Knowledge (XXG) by 14: 52:, and many problems elsewhere in 314: 30:partial differential equations 26:Boolean delay equations (BDEs) 1: 63:One example of a BDE is the 292:10.1016/j.physd.2008.07.006 403: 387:Mathematical physics stubs 309: 326:-related article is a 137:10.1098/rsta.2009.0235 48:dynamics, solid-earth 18:Boolean Delay Equation 382:Mathematical modeling 324:mathematical physics 284:2008PhyD..237.2967G 233:2003Chaos..13.1167O 192:1990ClDy....4..263W 129:2010RSPTA.368..495C 200:10.1007/BF00211063 377:Dynamical systems 339: 338: 241:10.1063/1.1608671 113:(1911): 495–513. 22:dynamical systems 394: 360: 353: 346: 318: 311: 303: 277: 256: 251:. Archived from 211: 180:Climate Dynamics 165: 164: 122: 102: 87: 81: 54:natural sciences 402: 401: 397: 396: 395: 393: 392: 391: 367: 366: 365: 364: 307: 275:nlin.CG/0612047 268:(23): 2967–86. 259: 214: 177: 174: 172:Further reading 169: 168: 104: 103: 99: 94: 77: 68: 65:Ring oscillator 12: 11: 5: 400: 398: 390: 389: 384: 379: 369: 368: 363: 362: 355: 348: 340: 337: 336: 319: 305: 304: 257: 255:on 2013-02-23. 227:(4): 1167–74. 212: 173: 170: 167: 166: 96: 95: 93: 90: 42:fluid dynamics 13: 10: 9: 6: 4: 3: 2: 399: 388: 385: 383: 380: 378: 375: 374: 372: 361: 356: 354: 349: 347: 342: 341: 335: 333: 329: 325: 320: 317: 313: 308: 301: 297: 293: 289: 285: 281: 276: 271: 267: 263: 258: 254: 250: 246: 242: 238: 234: 230: 226: 222: 218: 213: 209: 205: 201: 197: 193: 189: 185: 181: 176: 175: 171: 162: 158: 154: 150: 146: 142: 138: 134: 130: 126: 121: 116: 112: 108: 101: 98: 91: 89: 85: 80: 75: 71: 66: 61: 59: 55: 51: 47: 43: 39: 35: 31: 27: 23: 19: 332:expanding it 321: 306: 265: 261: 253:the original 224: 220: 186:(4): 263–7. 183: 179: 110: 106: 100: 83: 78: 73: 69: 62: 25: 17: 15: 371:Categories 92:References 67:equation: 58:conceptual 50:geophysics 262:Physica D 208:128603325 145:1364-503X 120:0909.2269 34:heuristic 300:12652082 249:14604408 153:20008414 38:modeling 280:Bibcode 229:Bibcode 188:Bibcode 125:Bibcode 46:climate 298:  247:  206:  161:426841 159:  151:  143:  322:This 296:S2CID 270:arXiv 221:Chaos 204:S2CID 157:S2CID 115:arXiv 76:τ) = 328:stub 245:PMID 149:PMID 141:ISSN 288:doi 266:237 237:doi 196:doi 133:doi 111:368 373:: 294:. 286:. 278:. 264:. 243:. 235:. 225:13 223:. 219:. 202:. 194:. 182:. 155:. 147:. 139:. 131:. 123:. 109:. 74:t- 60:. 44:, 24:, 16:A 359:e 352:t 345:v 334:. 302:. 290:: 282:: 272:: 239:: 231:: 210:. 198:: 190:: 184:4 163:. 135:: 127:: 117:: 86:) 84:t 82:( 79:X 72:( 70:X

Index

dynamical systems
partial differential equations
heuristic
modeling
fluid dynamics
climate
geophysics
natural sciences
conceptual
Ring oscillator
arXiv
0909.2269
Bibcode
2010RSPTA.368..495C
doi
10.1098/rsta.2009.0235
ISSN
1364-503X
PMID
20008414
S2CID
426841
Bibcode
1990ClDy....4..263W
doi
10.1007/BF00211063
S2CID
128603325
"An adjustable aperiodic model class of genomic interactions using continuous time Boolean networks (Boolean delay equations)"
Bibcode

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