5 problems
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The infinite-period saddle-node boundary in the one-dimensional CGLE
Infinite-period saddle-node boundary conjecture. The saddle-node line for provides a lower boundary for the transition from phase to defect chaos in the one-dimensiona…
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The defect-density estimate from supercritical inter-peak spacings
Defect-density conjecture. Defects arise when , and consequently
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The divergent-MAW-period boundary for the phase-to-defect-chaos transition
Divergent-MAW-period boundary conjecture. The limit is a lower boundary for the transition from phase chaos to defect chaos.
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Phase-chaos persistence beyond the divergent-MAW-period boundary
Phase-chaos persistence conjecture. Phase chaos persists in the thermodynamic limit in this regime.
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Distinguished-dimension conjecture for finite-dimensional volume contraction
Distinguished-dimension conjecture. There is a distinguished dimension such that the contraction rate of volumes restricted to this dimension is always finite and is connected to t…