On the nature of turbulence¶
Ruelle, D., & Takens, F. (1971). On the nature of turbulence. Communications in Mathematical Physics, 20(3), 167-192.
Cited by¶
1 citation across 1 artifact.
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Primes¶
- Chaos
- the attractor is an invariant set with possibly non-integer dimension; ergodicity is the equality of time-average and space-average on the attractor. Physics → the rule is the equations of motion (Newton, Hamilton, Navier-Stokes); the state space is phase space; sensitive dependence is exponential separation of nearby phase-space trajectories; the attractor is a strange attractor (a term coined by Ruelle and Takens (1971))
This sourceCoins the term "strange attractor" for non-manifold limit sets of dissipative systems and proposes that fluid turbulence develops via such attractors rather than the Landau-Hopf accretion-of-modes picture.
- the attractor is an invariant set with possibly non-integer dimension; ergodicity is the equality of time-average and space-average on the attractor. Physics → the rule is the equations of motion (Newton, Hamilton, Navier-Stokes); the state space is phase space; sensitive dependence is exponential separation of nearby phase-space trajectories; the attractor is a strange attractor (a term coined by Ruelle and Takens (1971))
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Registry ID ref:32deaff926a7 · see in the full table