For examples of qualitatively typical chaotic attractors see, e.g., the ﬁgures in .
A possible experimental test to decide if quantum mechanical randomness is due to deterministic chaos in the underlying dynamics
However, the chaotic attractor coexists and the motion remains chaotic because the basin of x0 is still small.
Taming a Chaotic Dripping Faucet via a Global Bifurcation
After A passes through the critical value ˜A = 0.963, the chaotic attractor disappears and the periodic motion x0 is realized.
Taming a Chaotic Dripping Faucet via a Global Bifurcation
In these cases the prescription on the Poincar´e’s section is enough to remove singularities, and if the system veriﬁes the conditions 1), 3), 4) of section 1.6, i.e. it is reversible, chaotic and has a dense attractor, the ﬂuctuation relation is expected to hold from the chaotic hypothesis.
Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence
If the system is reversible, chaotic and has a dense attractor, the function ζk (p) should have a ﬁnite limit that will be convex and verify the ﬂuctuation relation (8) for large k , according to the chaotic hypothesis.
Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence
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