Whats the best reference (just 1 journal) that I could used to achieve the basic benefits about the mathematics of chaos, linking contribuitions of Laplace (1885), Pointcaré (1889) and Lorenz (1963)?
Perhaps Journal of Physics?
http://iopscience.iop.org/1742-6596/437/1/012016/pdf/1742-6596_437_1_012016.pdf
This is a good question.
An article that considers Laplace, Poincare and Lorenz relative to the mathematics of chaos is
L.M. Berliner, Statistics, probability and chaos, Statistical Science 7, 1992, no. 1, 69-122:
http://www.uvm.edu/~pdodds/files/papers/others/1992/berliner1992a.pdf
Poincare maps are considered in the context of the Lorenz system (starting on page 83). See Section 2.2, starting on page 76, on randomness, chaos and Laplace.
Thank you ! I´m gonna check this information and try to cross them with planning directives on product design in a frame of complexity (complex systems), so have a nice job.
Certainly, there are many journals, textbooks and monographs. The first thing that you need is to focus on a specific problem and then finding an answer to the tools you need will be easier.
My topic is theoric, since i´m interested on finding frames for design a control of composting process through the use of Grashopper in 3D systems (Rhino 5) ! But dearest ones, i fill really gratefull for your help. Best regards!
This historiographical account, while not so technical might be a bit more complete than typical histories and with a balanced emphasis on key actors and contributions from European and North American pioneers. Giving you a bird's eye view of the domain's evolution. Perhaps that is what you meant by a "theoretic frame"? An overarching framework within which to place the often bewildering and contradicting bits and pieces that have gone by many names in the not too distant past.
http://empslocal.ex.ac.uk/people/staff/gv219/classics.d/Aubin-Dahan-chaos02.pdf
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