Lyapunov exponents from random Fibonacci sequences to the Lorenz equations

Viswanath, D. (1998). Lyapunov exponents from random Fibonacci sequences to the Lorenz equations.

Type

Thesis

Intellectual base

Grey literature

Year

1998

Link

https://ecommons.cornell.edu/handle/1813/7351

Cited from

mathematics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Primes

• Chaos
  • Sensitive dependence: in the canonical chaotic parameter regime (σ = 10, ρ = 28, β = 8/3) the largest Lyapunov exponent is positive (λ ≈ 0.9056 in the natural time units, as computed precisely by Viswanath (1998) via periodic-orbit theory)

    This sourceEstablishes the largest Lyapunov exponent of the canonical Lorenz attractor (σ=10, ρ=28, β=8/3) as ≈ 0.905630 via periodic-orbit theory and high-precision numerics; the standard quantitative reference.

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