AYRIM DINAMIK TIZIMLARNING SIFATIY TAHLILI HAQIDA
Keywords:
Kalit so’zlar: dinamik tizim, diskret va uzluksiz vaqtli dinamik tizim, turg’un nuqta, integral chiziqlar, fazali portretlar., Key words: dynamic systems, discrete and continuous dynamic systems, equilibrium points, integral curves, phase portraits.Abstract
Annotatsiya. Dinamik tizimlar bir holatdan boshqa holatga o‘tish jarayonini ifodalaydi. Dinamik tizimlar, asosan, fizika, biologiya, iqtisod va muhandislik, shuningdek, raqamli modellashtirish va astronomiya kabi sohalarda qo'llaniladi. Ushbu maqola dinamik tizimlarning umumiy xususiyatlarini ko'rib chiqadi va ularning O‘zbekiston va global miqyosdagi qo'llanilishi haqida ma'lumot beradi. Shu tariqa, maqolada operatsion samaradorlikni oshirish va barqaror rivojlanishni ta'minlashda dinamik tizimlarning potensial imkoniyatlari ko'rsatib beriladi.
Annotation. Dynamic systems express the transition process from one state to another. Dynamic systems are primarily applied in fields such as physics, biology, economics, and engineering, as well as in digital modeling and astronomy. This article examines the general characteristics of dynamic systems and provides information about their applications in Uzbekistan and on a global scale. Thus, the article illustrates the potential capabilities of dynamic systems in enhancing operational efficiency and ensuring sustainable development.
