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# Questions tagged [chaotic-systems]

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### Calculating Lyapunov exponent for 3D system

I am trying to calculate the Lyapunov spectrum of a Lorenz model, \begin{align} \begin{split} \frac{dx}{dt} =& \sigma(y - x), \\ \frac{dy}{dt} =& x(\rho - z) - y, \\ \frac{dz}{dt} =& xy - \...
• 11
282 views

### computing Lyapunov exponents numerically

I am trying to compute numerically the Lyapunov exponents of an ODE. I follow the method described in Parker, Chua "Practical Numerical Algorithms for Chaotic systems" There is also relevant ...
• 101
193 views

### SINDy Vs standard methods for system identification

I have been trying to understand the recently proposed Sparse Identification of Nonlinear Dynamics SINDy. Despite several attempts, I seem to fail to understand the difference between SINDy and the ...
• 944
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### Calculating Lyapunov exponent (LE) for pendulum using ellipsoid growth - code yields negative LEs

I was redirected here from physics stack exchange where hopefully my question is more appropriate. Per my advisor, I have read the textbook Chaos, an introduction to dynamical systems by Alligood, ...
• 31
150 views

### What good are hard-sphere event-driven molecular dynamics simulations in the face of chaos?

Simple hard-sphere dynamical systems can exhibit chaotic dynamics. Due to finite-precision arithmetic when implemented on a computer, the presence of chaos implies that for a given set of initial data,...
• 171
1 vote
222 views

### How to implement chaotic sender and receiver with ordinary differential equations?

I am referring this paper, and trying to implement chaotic sender and receiver, to decode message, as given in section $V^{th}$ Chaotic signal masking. The process that I want to implement is figure ...
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