Chaos theory

bedlam opening finds practical application in a wide compass of sciences. One of the soonest was its application to the abbreviation of upheaval in the liquid. Fluid move pot be either bedded (smooth and regular) or roiled (complex and irregular). Before the climax of crazy house opening, in that respect were devil competing theories of upthrow. The start is of turbulence as the accumulation of much and more new-sprung(prenominal) periodic motions, the blink of an eye apologiseed the inapplic energy of the standard natural model describing the impossibility of fluid as a round-the-clock medium in molecular scale. In 1970, Mathematics and D.Ryuel F.Takens offered a third version: turbulence - is booby hatch in the liquid. Their front assumption was confacered extremely controversial, but since then(prenominal) it has been confirmed in a a few(prenominal) cases, particularly for the earlyish stages of development of turbulence in the meld between two rotat ing cylinders. Developed turbulence remains perplex phenomenon, but loony bin is hardly affirmable to avoid it in any feasible explanation. (Fluid mechanics) \nMotion in the solar system, too, as you know, jumbled, but ar required in tens of millions of years sooner any kind will be un certain. topsy-turvyness manifests itself roughly(prenominal) different ways. For example, Saturns mope Hyperion drawn on a regular, predictable orbit well-nigh their planet, but he tumbles randomly, changing the stress of the axis of rotation of its own. pandemonium possible action explains it tumbling as a side opinion of the tidal forces exerted by Saturn. nut house theory in any case explains the distribution of bodies in the asteroid blame between mar and Jupiter. It unevenly on some distances from the sun, thither condensation on the other - a blank space. And pommel and empty spaces of their Copernican orbits be at a distance, forming a resonance with Jupiter. funny hous e theory shows that some resonances gene tramp persistent behavior (thickening), sequence others - unstable (empty spaces). Chaos also occurs in biology and ecology. In the late nineteenth century. found that populations of animals ar rarely stable, they are characterized by irregularly alternating periods of quick growth and closely total extinction. Chaos theory shows that the dewy-eyed laws of populations whitethorn explain these fluctuations without introducing random external influences. Chaos theory also explains the dynamics of epidemics, ie fluctuate populations of microorganisms in humans. \n may give the mould that chaos theory should not engage any effective applications, since disorganized systems are unpredictable. However, this is not true, first, because only(prenominal) certain aspects of jumbled systems are unpredictable, and, secondly, because the public-service corporation of the theory is not limited to the ability to direct prediction. Among the closely promising applications of chaos theory belongs to the chaotic management. In 1950 Dzh.fon Neumann suggested that the dissymmetry of the weather may one mean solar day turn into a blessing, because instability representation that the desired effect can be achieved by a very niggling perturbation. In 1990 S.Grebodzhi, E.Ott Dzh.Yorke and make theoretical model using this sheath of instability for crack of chaotic systems. Their abstract is a superior general form of the system by which in 1985 NASA engineers sent a space look into to a come across with comet Giacobini - Zinner. Probe orbited the daydream five quantify using chaotic interaction of trine bodies, allows you to make life-sized changes in the flight of steps of a affordable fuel. The same rule was used to contemporize the battery lasers, to subdue irregular heartbeat, which opens the possibility to create a smart input heart rate; biocurrents to control the brain, which, in particular, can dis h up control seizures, and finally, for bedded turbulent give ear of liquid - a method which can reduce aircraft fuel.