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Chaos, { Biomimicry }, { Turbulence } - Coggle Diagram

- - - - Fibonacci numbers
- - - - Lorenz Attractor
        
        Model for atmospheric convection
      - Butterfly Effect
    - - Turbulence
        
        Navier-Stokes equation
        
        Batchelor's Law
        
        Phenomena on different length scales
      - Rayleigh–Bénard convection
    - - Reaction - Diffusion system
        
        Population dynamics
        
        Lotka-Volterra equations
        
        Tropic relationships between species
        
        Predator-Prey Dynamics
      - Irreversible processes
      - Entropy
        
        2nd law of Thermodynamics
    - - Artificial Neural Networks
        The complexity of three body problem is such a high degree, such that it makes it a good candidate to train artificial neural networks over a time interval. It shows that ANN are capable of stimulating many body system, which are of great help for research and obtaining numerical results.
    - - Traffic jam
      - Game of Life
      - Forest fire model
    - - Memory processes
        Chaos could be use while retrieving lost memories within the neural network, by forming new unstable networks to search for the memory.
      - Biological information processor
        A region of the brain called the electroencephalogram exhibits chaotic behaviors when dealing with mental activities. While maintaining control of its processing abilities by acting as a oscillator between states.
      - Behavior of neurons
        From the simulation of a few individual neurons with delay in signal transmission and some other constraints, the system exhibits chaotic behavior, being very sensitive to initial conditions, which shows that neural systems changes frequently
        
        Deterministic Chaos
    - - Earthquakes
        By examining the dynamic behavior of fault zone using a simple spring mass system, if the faults are asymmetric, it exhibits deterministic chaos by looking at its bifurcation diagram. This directly shows that earthquakes exhibits deterministic chaos as usually tectonic plates are asymmetric
    - - Blood Vessels
      - Heart rates
        
        Fetal heart rates
        The recorded heart rates of fetuses may be modeled as a nonlinear and chaotic system, as each of them varied from one another. The analysis used phase space, bifurcation diagrams and dimensional analysis
    - - Logistic map
- - - - strongly correlated with...
        
        standard deviation of wind speed
        
        wind speed
        
        Spearman correlation coefficient range: -0.1 to -0.4
      - More turbulence <-> Less air pollution concentration