Questions tagged [chaotic-systems]
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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 ...
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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 ...
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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, ...
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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,...
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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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How to classify chaotic systems from a stability perspective
I am wondering what chaotic systems are from the perspective of numerical analysis. I am talking about 'deterministic chaos' such as for instance the 'logistic map' exhibits it. That is, the solution ...
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The "standard map" and Jupiter's red spot [closed]
Has there been an attempt to "explain" Jupiter's Red Spot via
what is known as the standard map
in chaos theory?
I cannot be the first to notice the visual similarities...
&...
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