Logo

i omikron

  • Archive
  • RSS
  • Ask me anything... (there are only 2, or 3 thousand things I do not know).
As you can see in this image (and others in previous posts) all these orbits are bounded in a region of phase space. Whereas some of them have an extremely complicated unfolding, this is taking place in a very specific region without escaping. The underlying concept of this concentration of states consisting the orbit (chaotic or not) is that of the attractor.
The attractor is part of the phase-space of a dynamical system, where its orbits converge. It can be a point (or points), a limit cycle, a surface, or a volume.
Except from these cases, attractors may be much more complicated, like the one of the figure above. These complex types of attractor are called strange attractors. In strange attractors the concentration of orbits can be very dense, and their mathematical description requires the definition of a more generalized concept of dimension.
Thus, the above structure, due to its complexity, corresponds to a strange attractor.
Rendered with chaoscope
View Separately

As you can see in this image (and others in previous posts) all these orbits are bounded in a region of phase space. Whereas some of them have an extremely complicated unfolding, this is taking place in a very specific region without escaping. The underlying concept of this concentration of states consisting the orbit (chaotic or not) is that of the attractor.

The attractor is part of the phase-space of a dynamical system, where its orbits converge. It can be a point (or points), a limit cycle, a surface, or a volume.

Except from these cases, attractors may be much more complicated, like the one of the figure above. These complex types of attractor are called strange attractors. In strange attractors the concentration of orbits can be very dense, and their mathematical description requires the definition of a more generalized concept of dimension.

Thus, the above structure, due to its complexity, corresponds to a strange attractor.

Rendered with chaoscope

    • #chaos
    • #trajectories
    • #mathematics
    • #dynamical systems
    • #strange attractors
  • 5 months ago
  • 129
  • Permalink
  • Share
    Tweet

129 Notes/ Hide

  1. themillwesgui reblogged this from iomikron
  2. glarrassafes reblogged this from iomikron
  3. inadtesapp reblogged this from iomikron
  4. dontrustlemyjimmies liked this
  5. karatebuffalo reblogged this from iomikron
  6. famouslawyers reblogged this from iomikron
  7. online-fundraising reblogged this from iomikron
  8. itupanjen reblogged this from iomikron
  9. scanoconad reblogged this from iomikron
  10. bersringchromgar reblogged this from iomikron
  11. jucarbather reblogged this from iomikron
  12. risthustminvi reblogged this from iomikron
  13. fakalcofor reblogged this from iomikron
  14. marcosixte reblogged this from iomikron
  15. pinterest-clone reblogged this from iomikron
  16. doku-stream reblogged this from iomikron
  17. printedimage reblogged this from iomikron
  18. hakuai-haiku liked this
  19. pacoduh reblogged this from iomikron
  20. student-flying-club reblogged this from iomikron
  21. kumacheerio liked this
  22. rimhujae liked this
  23. razzledazzy reblogged this from iomikron
  24. dayvmattt liked this
  25. pensivestate reblogged this from shroomssavedmymind
  26. afreesong reblogged this from shroomssavedmymind
  27. dopaminedreams reblogged this from shroomssavedmymind
  28. claazzy reblogged this from shroomssavedmymind
  29. seekthehippies reblogged this from shroomssavedmymind
  30. tiredblue liked this
  31. leitedemamao reblogged this from shroomssavedmymind
  32. godisinyou liked this
  33. esteysiquay liked this
  34. abujaad liked this
  35. child-of-the-universe reblogged this from shroomssavedmymind
  36. karissashareebby liked this
  37. mc-jade reblogged this from shroomssavedmymind
  38. outofmyvulcanmind liked this
  39. riclitulous liked this
  40. ersonerson liked this
  41. steflemoine liked this
  42. siempresefiel liked this
  43. shroomssavedmymind reblogged this from lifeandsquid
  44. vividsight liked this
  45. karatebuffalo liked this
  46. veraasdl liked this
  47. nothing-left-to-do reblogged this from iomikron
  48. nothing-left-to-do liked this
  49. lifeandsquid reblogged this from iomikron
  50. ldtms liked this
  51. Show more notesLoading...
← Previous • Next →

Portrait/Logo

About

In my childhood, I decided to be an architect, but after my studies in physics, i realized that I should have studied mathematics. Anyway, I will keep programming in Mathematica, reading lots of books, drawing and painting, physics, mathematics and the internet will still inspire me and late in life I will be a painter. Unfortunatelly, I don't have plan B.

i.omikron.tumblr@gmail.com

I Dig These Posts

  • Photo via celloanomaly
    Photo via celloanomaly
  • Photo via intothecontinuum

    800x800

    Mathematica code:

    Graphics[
    GraphicsComplex[
    Table[
    {-.99^n*Sin[n*3.941], .99^n*Cos[n*3.941]}, {n, 0, 600}],
    Polygon[Table[i, {i,...
    Photo via intothecontinuum
  • Photo via intothecontinuum

    800x800

    Mathematica code:

    Graphics[
    GraphicsComplex[
    Table[
    {-.99^n*Sin[n*3.799], .99^n*Cos[n*3.799]}, {n, 0, 600}],
    Polygon[Table[i, {i,...
    Photo via intothecontinuum
  • Photo via intothecontinuum

    800x800

    center detail

    Mathematica code:

    Graphics[
    GraphicsComplex[
    Table[
    {-.99^n*Sin[n*3.941], .99^n*Cos[n*3.941]}, {n, 0, 600}],
    ...
    Photo via intothecontinuum
See more →
  • RSS
  • Random
  • Archive
  • Ask me anything... (there are only 2, or 3 thousand things I do not know).
  • Mobile

Effector Theme by Carlo Franco.

Powered by Tumblr