A D-stable Lotka–Volterra system with a positive periodic solution
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No: for n = 4, x* = (1,1,1,1) and an explicit rational D-stable matrix A, the system has a nonconstant periodic solution with all coordinates in (1/8, 4), which does not converge to x* (and so for every n >= 4)..
Claims
SOLUTION CLAIMED
OP-00694 — Global attraction in D-stable Lotka–Volterra systems
Files and sources
- Paper
- AIM @ a153f46, 490-lotka-volterra-counterexample/PROOF.md ↗
- Posted on GitHub
- 2 October 2026
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