BerandaKategoriChaos & Dinamika

🌀 Chaos & Dinamika

Sistem chaotic: strange attractor, ketergantungan sensitif pada kondisi awal, dan struktur fraktal.

27 simulasi60 fps real-time0 langkah instalasi
Double PendulumUp to 120 pendulums simultaneously — chaos from microscopic differences in initial… Lorenz AttractorPopulerUp 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,… Gingerbreadman Map — A Self-Similar Fractal from FoldingNewInteractive simulation of Devaney's Gingerbreadman map: click to seed points and watch… Hénon Map — A Strange Attractor from a Simple IterationNewInteractive simulation of the Hénon map: iterate the discrete equations directly and watch… Ikeda Map — Chaos in a Nonlinear Optical CavityNewInteractive simulation of the Ikeda map: iterate the nonlinear optical cavity equations for… Standard Map (Chirikov–Taylor) — Order and Chaos in a Kicked RotorNewInteractive Poincaré-section simulation of the Chirikov-Taylor standard map: watch KAM tori…
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Chaos & Dinamika

Sistem chaotic: strange attractor, ketergantungan sensitif pada kondisi awal, dan struktur fraktal.

Three.js · WebGL 60 FPS CC BY 4.0
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Tidak. Semuanya berjalan sepenuhnya di browser Anda — tanpa unduhan, plugin, atau akun. Berfungsi di Chrome, Firefox, Edge, dan Safari; sebagian besar simulasi juga berfungsi di perangkat seluler.

Bisakah saya menggunakan simulasi ini untuk mengajar?

Ya — semua konten gratis untuk penggunaan pendidikan berdasarkan lisensi CC BY 4.0. Tautkan langsung ke simulasi mana pun atau sematkan di LMS Anda melalui iframe; tidak perlu kunci API.

Apakah model-modelnya akurat secara ilmiah?

Model ini menggunakan formulasi matematis yang sama dengan perangkat lunak profesional, yang diintegrasikan secara numerik secara real time. Setiap simulasi mencantumkan algoritmenya, dan banyak di antaranya tertaut ke artikel yang menjelaskan matematika yang mendasarinya.

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