npub1skvad2l2wrxgdmt6yxk9kt2rjhw5tucjzhf54pktfq2gg0qhgwyqdlaky3 (npub1skv…aky3) A rate model dx/dt= -x+f(Wx) with a random Gaussian connectivity matrix with weights Wij~N(0,V^2) will have this transition around V=1/f'(0). I'm relatively sure this is the simplest thing you can construct having a transition to chaos in a network as you want.
The demonstration that the transition is in fact chaotic was given by Crisanti and Sompolinsky in 1981. Check also Ostojic and Mastrogiuseppe 2017, is way more readable and includes Dale's law and spiking neurons too.
Victor Buendía /
npub162…cuy7n
2024-01-20 14:45:28
in reply to nevent1q…r3gw
Author Public Key
npub162s90prpjexuvkh56tw6jv0l7gz77avscucllpvqerz5fz7fe0ss5cuy7nSeen on
wss://relay.nostr.bandPublished at
2024-01-20 14:45:28Event JSON
{
"id": "e597144e9be11435962550ccdb027b0de396ff15ff299de7ab1f606c2ca0ebb1",
"pubkey": "d2a0578461964dc65af4d2dda931fff205ef7590c731ff8580c8c5448bc9cbe1",
"created_at": 1705761928,
"kind": 1,
"tags": [
[
"p",
"8599d6abea70cc86ed7a21ac5b2d4395dd45f31215d34a86cb4814843c174388",
"wss://relay.mostr.pub"
],
[
"p",
"c71a5284689572bfd0beef4cbb9b331e25b49be5535123c2692f4a13e17c0a48",
"wss://relay.mostr.pub"
],
[
"e",
"0c8f30c30ee6c13738788badee6577981015955224398e323f927a0b28d5cc62",
"wss://relay.mostr.pub",
"reply"
],
[
"proxy",
"https://fediscience.org/users/vbuendiar/statuses/111788813721048973",
"activitypub"
]
],
"content": "nostr:npub1skvad2l2wrxgdmt6yxk9kt2rjhw5tucjzhf54pktfq2gg0qhgwyqdlaky3 A rate model dx/dt= -x+f(Wx) with a random Gaussian connectivity matrix with weights Wij~N(0,V^2) will have this transition around V=1/f'(0). I'm relatively sure this is the simplest thing you can construct having a transition to chaos in a network as you want. \n\nThe demonstration that the transition is in fact chaotic was given by Crisanti and Sompolinsky in 1981. Check also Ostojic and Mastrogiuseppe 2017, is way more readable and includes Dale's law and spiking neurons too.",
"sig": "62738a3920a29593f37ee5e24adde5afc40b7365aacaef95163b96876b54c4f3c9dddb10945d3b46faea45679172667c7d0c526a98ab5f02c63ff726582afe9d"
}