Phase Portrait — ẋ = f(x,y), ẏ = g(x,y)

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Phase Portrait

ẋ = f(x,y), ẏ = g(x,y)

The phase portrait of a dynamical system — every possible trajectory drawn in the same plane. Closed curves are the cycles.

Every possible future drawn at once

Part of: CYCLES

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More from CYCLES

Loom — x(t) = x(t + T), T = 2π/ω

Loom

x(t) = x(t + T), T = 2π/ω

Moebius — r(t) = ((2 + cos(t/2))cos t, (2 + cos(t/2))sin t, sin(t/2))

Moebius

r(t) = ((2 + cos(t/2))cos t, (2 + cos(t/2))sin t, sin(t/2))

Orbit — r(θ) = a(1-e²)/(1 + e cos θ)

Orbit

r(θ) = a(1-e²)/(1 + e cos θ)

Recurrence — R(i,j) = Θ(ε - ||x_i - x_j||)

Recurrence

R(i,j) = Θ(ε - ||x_i - x_j||)