A two-dimensional mapping with a strange attractor View Full Text


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Article Info

DATE

1976-02

AUTHORS

M. Hénon

ABSTRACT

Lorenz (1963) has investigated a system of three first-order differential equations, whose solutions tend toward a “strange attractor”. We show that the same properties can be observed in a simple mapping of the plane defined by:xi+1=yi+1−axi2,yi+1=bxi. Numerical experiments are carried out fora=1.4,b=0.3. Depending on the initial point (x0,y0), the sequence of points obtained by iteration of the mapping either diverges to infinity or tends to a strange attractor, which appears to be the product of a one-dimensional manifold by a Cantor set. More... »

PAGES

69-77

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01608556

DOI

http://dx.doi.org/10.1007/bf01608556

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1038318754


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