This is not precisely a conjecture, but the Fermi-Pasta-Ulam experiment seems to be the first time when people mathematicians and physicists realized that lack of integrals of motion does not necessarily lead to chaos or ergodicity, thus paving the way for KAM theory.
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This is not precisely a conjecture, but the Fermi-Pasta-Ulam experiment seems to be the first time when people realized that lack of integrals of motion does not necessarily lead to chaos or ergodicity, thus paving the way for KAM theory. |
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