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1EaSvN…rDPNvia twetch·10m
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "\ud83c\udf89 Bored Waifu #2595 sold for 0.6 BSV\nBuyer: @118\nSeller: @63437\nhttps://four.twetch.com/market/f9d6d0553dbed94608332cec4d28a48ae8dfe491d8415df9162826025f4f3e46?token=2595",
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Signed by1EaSvN…rDPNUnverified
1KxB4X…jVJKvia twetch·10m
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "one does not simply sell their turbo fox",
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Signed by1KxB4X…jVJKUnverified
1KxB4X…jVJKvia twetch·10m
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "guess who's back back back",
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Signed by1KxB4X…jVJKUnverified
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
{
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  "map_content": "Linearize about the interior equilibrium; the Jacobian is 3\u00d73:",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "$$\nE^* = E_0 + \\frac{\\alpha}{\\mu} D^*\n$$",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "**(a) Nonlinear mobilization \u2014 the salience threshold.**\nReplace linear $\\alpha D$ with a saturating, sigmoid response:\n$$\n\\dot E = \\frac{\\alpha D^n}{K^n + D^n} - \\mu(E-E_0)\n$$\nThis captures a *political salience threshold*: small-scale fraud generates no response (below public attention), while fraud past a critical visibility triggers sharp mobilization. The Hill exponent *n* measures how threshold-like public/regulatory attention is. This makes the model far more realistic and adds a second bifurcation parameter.",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
{
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  "map_content": "The equilibrium is stable when the last inequality holds. A **Hopf bifurcation** \u2014 the birth of a sustained limit cycle \u2014 occurs exactly when:",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 958069,
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  "type": "reply",
  "map_content": "Three optional sophistications, in order of value:",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
{
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  "map_content": "Because the system is now 3D and nonlinear, for extreme parameter regions (very sharp mobilization \u03b1 combined with a strong nonlinearity in the trust equation) the limit cycle can undergo **period-doubling**, yielding **deterministic chaos** \u2014 aperiodic, unpredictable fraud\u2013enforcement dynamics that are nonetheless fully deterministic.",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 958069,
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  "map_content": "- **High \u03bc (fast atrophy)** and **high \u03b1 (sharp overreaction)** \u21d2 violates the inequality \u21d2 **persistent oscillation** (the pendulum never settles).\n- **Moderate \u03b1, low \u03bc (patient, persistent enforcement)** \u21d2 satisfies the inequality \u21d2 **stable equilibrium** (deception contained at a steady low level, no boom\u2013bust).",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
{
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  "type": "reply",
  "map_content": "In the base model, the suppression rate **\u03b4** was a fixed parameter \u2014 the immune system was a constant. But this is empirically false and theoretically unsatisfying. Real institutions *respond*:",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
❤️ 0 Likes · ⚡ 0 Tips
{
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  "map_content": "Apply the **Routh\u2013Hurwitz criterion** for a stable 3D system:",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
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  "map_content": "Working the coefficients through (details in appendix) reveals the governing tension:",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
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  "map_content": "$$\nT^* = \\frac{E_0 + \\frac{\\alpha}{\\mu}D^*}{\\gamma}\n$$",
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
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Signed by14aqJ2…oWGKUnverifiedcustodial
Istoapplesaucevia treechat·12m
Replying to #ccb21e7e
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