how to find lyapunov exponent of 3d discrete system

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itendra k kumar 2022-6-10

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https://ww2.mathworks.cn/matlabcentral/answers/1737735-how-to-find-lyapunov-exponent-of-3d-discrete-system

回答： Rahul 2024-10-7

for example 3 species predator-prey model

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Answer 1

Rahul 2024-10-7

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Hi @itendra k kumar,

I understand that you require to find the Lyapunov exponent of a 3d discrete system.

MATLAB offers a 'lyapunovExponent' function which would be useful in this case.

Here is an example code for your reference:

% Define the predator-prey model as a function handle - this is an example,
% you can define your own model according to your specifications.
predator_prey = @(x, params) [
    x(1) * (1 + params(1) - params(2) * x(3));
    x(2) * (1 + params(1) - params(2) * x(3));
    x(3) * (1 - params(3) + params(2) * (x(1) + x(2)))
];
% I have assumed 'params' and 'x' to be the variables required to define
% the predator-prey model.
% This 'predator-prey' model can be used as the data to find the 'Lyapunov
% Exponent'
LE = lyapunovExponent(predator_prey, fs, dim);