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HFpostdoc / unstable_states

What do dynamics look like in systems without stable states?
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Does your code replicate the stepwise progression of alpha to chaos? #1

Closed MKLau closed 10 years ago

MKLau commented 10 years ago

alpha_chaos

amellison17 commented 10 years ago

Nice graphs. What's the model?

A.

From: MKLau [mailto:notifications@github.com] Sent: Thursday, May 22, 2014 12:04 PM To: HFpostdoc/unstable_states Subject: [unstable_states] Does your code replicate the stepwise progression of alpha to chaos? (#1)

[alpha_chaos]https://cloud.githubusercontent.com/assets/5342857/3056425/a0529022-e1ca-11e3-8866-fdda696d239a.png

— Reply to this email directly or view it on GitHubhttps://github.com/HFpostdoc/unstable_states/issues/1.

MKLau commented 10 years ago

Thanks, I'm making sure the functions work.

The model's from May's 1976 Nature paper, Nt+1 = Nt_(a - b_Nt), where N0 = 1, b = 0.1 and a = 2.707, 3.414, 3.570 and 3.700 (left to right). The phase diagrams are below there associated time series.

amellison17 commented 10 years ago

great, thanks. aaron

From: MKLau [mailto:notifications@github.com] Sent: Thursday, May 22, 2014 12:33 PM To: HFpostdoc/unstable_states Cc: Ellison, Aaron Subject: Re: [unstable_states] Does your code replicate the stepwise progression of alpha to chaos? (#1)

Thanks, I'm making sure the functions work.

The model's from May's 1976 Nature paper, Nt+1 = Nt_(a - b_Nt), where N0 = 1, b = 0.1 and a = 2.707, 3.414, 3.570 and 3.700 (left to right). The phase diagrams are below there associated time series.

— Reply to this email directly or view it on GitHubhttps://github.com/HFpostdoc/unstable_states/issues/1#issuecomment-43912071.

MKLau commented 10 years ago

Looks good, now switching to the canonical form (i.e., May 1976 Equation 3).