What are self-similar pictures of bifurcations and fractals ?

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SUMMARY

Self-similar pictures of bifurcations and fractals are visual representations that emerge from the study of deterministic chaos, particularly in the context of Classical Physics. These images illustrate the complex and irregular patterns that arise from chaotic systems, showcasing how small changes can lead to vastly different outcomes. The discussion emphasizes the significance of understanding these concepts to grasp the nature of chaotic behavior in various scientific fields.

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  • Understanding of deterministic chaos principles
  • Familiarity with bifurcation theory
  • Knowledge of fractal geometry
  • Basic concepts in Classical Physics
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What are "self-similar pictures of bifurcations and fractals"?

The context is:

1.5 Deterministic Chaos

Chaos brings to mind many things: butterflies in South America changing
world weather; self-similar pictures of bifurcations and fractals; and an
inability to describe irregular, complex and apparently disordered motion.​
 
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This thread should be moved to Classical Physics.
 

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