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Instability

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195: 209: 38: 537:, the interruption of sensory nerve fibers, and functional instability, then a subject's postural sway should be altered. Joint stability can be enhanced by the use of an external support system, like a brace, to alter body mechanics. The mechanical support provided by a brace provides cutaneous afferent feedback in maintaining postural control and increasing stability. 523:
The most common residual disability after any sprain in the body is instability. Mechanical instability includes insufficient stabilizing structures and mobility that exceed the physiological limits. Functional instability involves recurrent sprains or a feeling of giving way of the injured joint.
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cause changes in the density that reinforce the original perturbation. Such instabilities usually require that the motions of stars be highly correlated, so that the perturbation is not "smeared out" by random motions. After the instability has run its course, the system is typically "hotter" (the
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deficits and impaired postural control in the joint. Individuals with muscular weakness, occult instability, and decreased postural control are more susceptible to injury than those with better postural control. Instability leads to an increase in postural sway, the measurement of the time and
533:. The measurement of a subject's postural sway can be calculated through testing center of pressure (CoP), which is defined as the vertical projection of center of mass on the ground. Investigators have theorized that if injuries to joints cause 153:
having either real part greater than zero, or, for the eigenvalues on the imaginary axis, the algebraic multiplicity being larger than the geometric multiplicity. The equivalent condition in
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instabilities can be divided into two general groups (1) hydrodynamic instabilities (2) kinetic instabilities. Plasma instabilities are also categorised into different modes â€“ see
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in a system is said to be unstable if it evolves without bounds. A system itself is said to be unstable if at least one of its state variables is unstable.
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is that at least one of the eigenvalues is greater than 1 in absolute value, or that two or more eigenvalues are equal and of unit absolute value.
530: 376: 75:, a structural beam or column can become unstable when excessive compressive load is applied. Beyond a certain threshold, structural 605: 372: 760: 138: 667:
Roupas, Zacharias (January 2019), "The Gravothermal Instability at All Scales: From Turnaround Radius to Supernovae",
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motions are more random) or rounder than before. Instabilities in stellar systems include:
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greater than zero (or if zero is a repeated root). This is equivalent to any of the
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Characterized by some of the outputs or internal states growing without bounds
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Unstable flow structure generated from the collision of two impinging jets.
198: 24: 791: 773: 740: 231:, and are often characterized by the shape that form; they are studied in 146: 65: 715:"Effect of Orthotics on Postural Sway Following Inversion Ankle Sprain" 433: 194: 142: 208: 681: 654: 633:; Sellwood, J. (1994), "Bending Instabilities of Stellar Systems", 472: 166: 84: 56:
increase with time, without bounds. Not all systems that are not
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A ball on the top of a hill is an unstable situation.
467: 87:or crippling. The general field of study is called 182:Biot instability (surface wrinkling in elastomers) 754:Pintsaar, A.; Brynhildsen, J.; Tropp, H. (1996). 719:Journal of Orthopedic and Sports Physical Therapy 160: 104: 815: 712: 608:. Los Alamos National Laboratory. Archived from 629: 479:can be unstable, if small perturbations in the 30:"Unstable" redirects here. For other uses, see 603: 529:distance a subject spends away from an ideal 713:Guskiewicz, K. M.; Perrin, David H. (1996). 514:Various instabilities in cold rotating disks 453:Plasma stability § Plasma instabilities 430:(similar to the Rayleigh–Taylor instability) 424:(similar to the Rayleigh–Taylor instability) 52:means that some of the outputs or internal 781: 730: 698: 680: 23:. For the political science concept, see 442:(also known as modulational instability) 207: 193: 36: 446: 816: 666: 580:"Definition of BAROCLINIC INSTABILITY" 518: 189: 19:For inherently unstable aircraft, see 133:, a system is unstable if any of the 623: 373:convective instability of the first 13: 761:British Journal of Sports Medicine 462:this paragraph in plasma stability 60:are unstable; systems can also be 14: 850: 802: 404:(similar, but different from the 357:conditional-symmetric instability 179:of a nonlinear constitutive model 809:eFluids Fluid Flow Image Gallery 468:Instabilities of stellar systems 288:convective symmetric instability 239:. Fluid instabilities include: 747: 706: 660: 597: 572: 547: 161:Instability in solid mechanics 105:Instability in control systems 1: 428:Richtmyer-Meshkov instability 422:Plateau-Rayleigh instability 402:Kelvin–Helmholtz instability 97:is a major component of all 7: 732:10.2519/jospt.1996.23.5.326 555:"Definition of INSTABILITY" 412:Rayleigh–Taylor instability 353:nonlocal static instability 203:Rayleigh–Taylor instability 10: 855: 450: 417:Saffman–Taylor instability 331:atmospheric thermodynamics 108: 29: 18: 635:The Astrophysical Journal 491:of rapidly rotating disks 440:Benjamin-Feir Instability 327:thermodynamic instability 32:Unstable (disambiguation) 540: 510:Radial-orbit instability 505:Gravothermal instability 398:Drift mirror instability 258:Hydrodynamic instability 700:10.3390/universe5010012 584:www.merriam-webster.com 559:www.merriam-webster.com 481:gravitational potential 311:Hydrostatic instability 253:Atmospheric instability 219:instabilities occur in 185:Baroclinic instability 139:characteristic equation 95:Atmospheric instability 385:mechanical instability 304:rotational instability 292:barotropic instability 276:baroclinic instability 244:Ballooning instability 213: 205: 73:structural engineering 42: 774:10.1136/bjsm.30.2.151 604:Shengtai Li; Hui Li. 406:diocotron instability 284:conditional symmetric 280:symmetric instability 211: 197: 40: 500:Firehose instability 447:Plasma instabilities 319:vertical instability 300:shearing instability 272:Inertial instability 266:atmospheric dynamics 237:magnetohydrodynamics 89:structural stability 691:2019Univ....5...12R 647:1994ApJ...425..551M 519:Joint instabilities 369:thermal instability 345:buoyant instability 262:dynamic instability 190:Fluid instabilities 172:Elastic instability 531:center of pressure 394:BĂ©nard instability 349:latent instability 341:static instability 323:parcel instability 315:static instability 214: 206: 201:simulation of the 43: 495:Jeans instability 177:Drucker stability 117:dynamical systems 115:In the theory of 62:marginally stable 47:dynamical systems 21:Relaxed stability 846: 839:Stability theory 834:Plasma phenomena 796: 795: 785: 751: 745: 744: 734: 710: 704: 703: 702: 684: 664: 658: 657: 627: 621: 620: 618: 617: 601: 595: 594: 592: 590: 576: 570: 569: 567: 565: 551: 854: 853: 849: 848: 847: 845: 844: 843: 829:Fluid mechanics 814: 813: 805: 800: 799: 752: 748: 711: 707: 665: 661: 628: 624: 615: 613: 602: 598: 588: 586: 578: 577: 573: 563: 561: 553: 552: 548: 543: 535:deafferentation 524:Injuries cause 521: 489:Bar instability 470: 455: 449: 192: 163: 128:continuous time 113: 111:Stabilizability 107: 99:weather systems 35: 28: 17: 12: 11: 5: 852: 842: 841: 836: 831: 826: 824:Systems theory 812: 811: 804: 803:External links 801: 798: 797: 768:(2): 151–155. 746: 725:(5): 326–331. 705: 659: 655:10.1086/174005 622: 596: 571: 545: 544: 542: 539: 526:proprioceptive 520: 517: 516: 515: 512: 507: 502: 497: 492: 469: 466: 451:Main article: 448: 445: 444: 443: 437: 431: 425: 419: 414: 409: 399: 396: 391: 390: 389: 388: 387: 308: 307: 306: 250: 233:fluid dynamics 191: 188: 187: 186: 183: 180: 174: 169: 162: 159: 131:control theory 121:state variable 106: 103: 15: 9: 6: 4: 3: 2: 851: 840: 837: 835: 832: 830: 827: 825: 822: 821: 819: 810: 807: 806: 793: 789: 784: 779: 775: 771: 767: 763: 762: 757: 750: 742: 738: 733: 728: 724: 720: 716: 709: 701: 696: 692: 688: 683: 678: 674: 670: 663: 656: 652: 648: 644: 640: 636: 632: 626: 612:on 2016-03-03 611: 607: 600: 585: 581: 575: 560: 556: 550: 546: 538: 536: 532: 527: 513: 511: 508: 506: 503: 501: 498: 496: 493: 490: 487: 486: 485: 482: 478: 477:star clusters 474: 465: 463: 459: 454: 441: 438: 435: 432: 429: 426: 423: 420: 418: 415: 413: 410: 407: 403: 400: 397: 395: 392: 386: 382: 378: 374: 370: 366: 362: 358: 354: 350: 346: 342: 338: 335: 334: 332: 328: 324: 320: 316: 312: 309: 305: 301: 297: 293: 289: 285: 281: 277: 273: 270: 269: 267: 263: 259: 256: 255: 254: 251: 249: 248:magnetosphere 245: 242: 241: 240: 238: 234: 230: 226: 222: 218: 210: 204: 200: 199:Hydrodynamics 196: 184: 181: 178: 175: 173: 170: 168: 165: 164: 158: 156: 155:discrete time 152: 148: 144: 140: 136: 132: 129: 124: 122: 118: 112: 102: 100: 96: 92: 90: 86: 82: 78: 74: 69: 67: 63: 59: 55: 51: 48: 39: 33: 26: 22: 765: 759: 749: 722: 718: 708: 672: 668: 662: 638: 634: 625: 614:. 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Retrieved 558: 549: 522: 471: 456: 215: 151:state matrix 125: 114: 93: 70: 49: 44: 25:Failed state 641:: 551–567, 631:Merritt, D. 436:Instability 408:in plasmas) 377:second kind 337:Conditional 147:eigenvalues 77:deflections 66:limit cycle 64:or exhibit 50:instability 818:Categories 682:1809.07568 616:2006-05-31 434:Shock Wave 361:convective 109:See also: 101:on Earth. 68:behavior. 675:(1): 12, 365:potential 296:Helmholtz 143:real part 669:Universe 589:23 April 564:23 April 473:Galaxies 381:absolute 167:Buckling 85:buckling 81:stresses 79:magnify 792:8799602 783:1332381 741:8728531 687:Bibcode 643:Bibcode 229:plasmas 221:liquids 149:of the 137:of its 790:  780:  739:  458:Plasma 58:stable 54:states 677:arXiv 541:Notes 367:, or 225:gases 217:Fluid 135:roots 788:PMID 737:PMID 591:2018 566:2018 475:and 375:and 235:and 227:and 141:has 119:, a 778:PMC 770:doi 727:doi 695:doi 651:doi 639:425 383:or 339:or 325:), 313:or 298:or 286:or 260:or 126:In 71:In 45:In 820:: 786:. 776:. 766:30 764:. 758:. 735:. 723:23 721:. 717:. 693:, 685:, 671:, 649:, 637:, 582:. 557:. 464:. 379:; 371:, 363:, 359:; 355:, 351:, 347:, 343:, 333:) 302:; 294:; 290:; 282:, 278:; 274:; 268:) 223:, 91:. 794:. 772:: 743:. 729:: 697:: 689:: 679:: 673:5 653:: 645:: 619:. 593:. 568:. 329:( 321:( 317:/ 264:( 34:. 27:.

Index

Relaxed stability
Failed state
Unstable (disambiguation)

dynamical systems
states
stable
marginally stable
limit cycle
structural engineering
deflections
stresses
buckling
structural stability
Atmospheric instability
weather systems
Stabilizability
dynamical systems
state variable
continuous time
control theory
roots
characteristic equation
real part
eigenvalues
state matrix
discrete time
Buckling
Elastic instability
Drucker stability

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