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Fix Lorenz63 problem typos
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4 files changed

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-6
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4 files changed

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toolbox/+otp/+lorenz63/+presets/Canonical.m

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function obj = Canonical(varargin)
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% Create the Canonical Lorenz '63 problem object.
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% Create the canonical Lorenz '63 problem object.
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%
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% Parameters
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% ----------

toolbox/+otp/+lorenz63/+presets/LimitCycle.m

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function obj = LimitCycle
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% Create the LimitCycle Lorenz '63 problem object.
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% Create the limit cycle Lorenz '63 problem object.
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% We use Lorenz's initial conditions and timespan as Strogatz
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% does not specify those in his book.

toolbox/+otp/+lorenz63/+presets/Surprise.m

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classdef Surprise < otp.lorenz63.Lorenz63Problem
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% Lorenz '63 preset 'surprise' from :cite:p:`Str18` which uses time span $t ∈ [0, 60]$, $σ = 10$, $ρ = 100$,
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% Lorenz '63 preset 'surprise' from :cite:p:`Str18` which uses time span $t ∈ [0, 60]$, σ = 10$, $ρ = 100$,
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% $β = 8/3$, and intial conditions $y_0 = [2, 1, 1]^T$.
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function obj = Surprise
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% Create the Surprise Lorenz '63 problem object.
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% Create the surprise Lorenz '63 problem object.
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% Hand-picked initial conditions with the canonical timespan
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% Hand-picked initial conditions with the canonical time span
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y0 = [2; 1; 1];
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tspan = [0 60];
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params = otp.lorenz63.Lorenz63Parameters('Sigma', 10, 'Rho', 100, 'Beta', 8/3);

toolbox/+otp/+lorenz63/Lorenz63Problem.m

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% $$
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%
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% exhibits chaotic behavior for certain values of the parameters. Here $x$ roughly corresponds to the rate of
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% convection of a fluid, $y$ corresponds to temperature variation in one direction, and $z$ is temerature variation
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% convection of a fluid, $y$ corresponds to temperature variation in one direction, and $z$ is temperature variation
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% in the other direction. For a full problem description see :cite:p:`Str18`.
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%
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% Notes

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