Bosh sahifaKategoriyalarXaos va Dinamika

🌀 Xaos va Dinamika

Xaotik tizimlar: g'ayrioddiy attraktorlar, boshlang'ich shartlarga sezgirlik va fraktal tuzilma.

23 simulyatsiya60 fps real vaqtda0 o'rnatish qadamlari
Double PendulumUp to 120 pendulums simultaneously — chaos from microscopic differences in initial… Lorenz AttractorMashhurUp to 80 trajectories forming "butterfly wings" in 3D. Adjust σ, ρ, β parameters. RK4… Rössler Attractor3D chaotic spiral attractor with adjustable parameters a, b, c. Multiple simultaneous… Bifurcation DiagramBifurcation diagram of the logistic map r·x·(1−x). Reveals period-doubling cascade and onset… Van der Pol OscillatorVan der Pol nonlinear oscillator with phase portrait and time series. Adjust damping μ to… Thomas Attractor3D symmetric dissipative strange attractor with cubic symmetry. Single parameter b controls… Anosov Map — Arnold Cat Map & Hyperbolic ChaosVisualize the Arnold cat map (Anosov diffeomorphism) on the torus. Watch any image mix into… Chaotic Waves — Nonlinear Oscillator ChainsSimulate chaotic waves in coupled nonlinear oscillators. Explore the… Double Pendulum — Chaos and Sensitivity to Initial ConditionsInteractive double pendulum simulation showing chaotic motion. Launch multiple pendulums… Nonlinear Oscillations — Duffing OscillatorExplore the Duffing oscillator: chaotic motion, phase portraits, Poincaré sections, and… Population Chaos — Logistic Map & Bifurcation DiagramExplore population chaos through the logistic map x_{n+1}=rx(1-x). Visualize the bifurcation… Lorenz WaterwheelNewTurn a chaotic waterwheel whose equations match the Lorenz system, and watch sigma, Rayleigh… Sand Pile CriticalityNewDrop grains one at a time until the pile self-organises to its critical slope, where… Strange AttractorsExplore Lorenz, Rössler, Thomas and Halvorsen chaotic attractors in 3D. Drag to rotate, tune… Duffing OscillatorDriven damped non-linear oscillator ẍ + δẋ + αx + βx³ = γcos(ωt). Explore chaotic phase… Double Pendulum EnsembleLaunch 30 double pendulums with nearly identical initial conditions and watch chaos separate… Lorenz Attractor — 3D Butterfly EffectNew3D Lorenz attractor with interactive parameter sliders (sigma, rho, beta). Launch two nearby… Elastic PendulumNewA mass on a spring that also swings — a 2-DOF coupled oscillator. When the spring frequency… Triple PendulumNewThree pendulums connected in series reveal extreme chaos: launch 5 variants with a 0.0001… Magnetic PendulumNewA pendulum swinging over magnets settles onto one of them — but tiny changes in the start… Logistic MapNewThe famous bifurcation diagram of x→rx(1−x): stable point → period-2 → period-4 → chaos.… Chua's CircuitNewThe simplest electronic circuit proven chaotic. Watch the double-scroll strange attractor… Lorenz Attractor — 3D ChaosA 3D Lorenz butterfly attractor in Three.js. Adjust sigma, rho and beta, orbit the camera,…
Kategoriya haqida

Xaos va Dinamika

Xaotik tizimlar: g'ayrioddiy attraktorlar, boshlang'ich shartlarga sezgirlik va fraktal tuzilma.

Three.js · WebGL 60 FPS CC BY 4.0
Tezkor ma'lumotlar
23ushbu kategoriyadagi interaktiv simulyatsiyalar
har qanday zamonaviy brauzerda 60 FPS tezlikda ishlaydi
🌐ingliz, ukrain, polyak, ispan, nemis, yapon, italyan, portugal (Braziliya), fransuz, arab, golland, xitoy, koreys, hind, turk, vyetnam, rus, indonez, fors, bengal, tay, filippin, suaxili, urdu, malay, tamil, ibroniy, yunon, panjobi, amhar, birma, kxmer, gruzin, nepal, mongol, arman, singal, laos, chex, ruminiya, venger, bolgar, shved, dat, fin, norveg, slovak, xorvat, serb, sloven, litva, latviya, eston, island, alban, makedon, bosniya va malta tillarida
🎓CC BY 4.0 — sinflar va LMS uchun bepul foydalanish mumkin

Tez-tez so'raladigan savollar

Xaos va Dinamika simulyatsiyalarini ishga tushirish uchun biror narsa o'rnatishim kerakmi?

Yo'q. Hammasi to'liq brauzeringizda ishlaydi — yuklab olish, plagin yoki hisob talab qilinmaydi. Chrome, Firefox, Edge va Safari'da ishlaydi; simulyatsiyalarning ko'pchiligi mobil qurilmalarda ham ishlaydi.

Bu simulyatsiyalarni o'qitish maqsadida ishlatsam bo'ladimi?

Ha — barcha kontent CC BY 4.0 litsenziyasi ostida ta'lim maqsadida foydalanish uchun bepul. Har qanday simulyatsiyaga to'g'ridan-to'g'ri havola berishingiz yoki uni LMS'ingizga iframe orqali joylashtirishingiz mumkin; API kaliti talab qilinmaydi.

Modellar ilmiy jihatdan aniqmi?

Ular professional dasturiy ta'minot bilan bir xil matematik formulalardan foydalanadi va real vaqtda sonli usulda yechiladi. Har bir simulyatsiya foydalanadigan algoritmlarini sanab o'tadi va ko'pchiligi orqasidagi matematikani tushuntiruvchi maqolaga havola beradi.

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