On the analytic form of some strange attractors
Physics Letters APublished 1 November 1977
Richard Bridges, G. Rowlands
Citations20
SJR quartileQ2
SJR score0.46
SNIP0.81
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
A simple analytic procedure is given which gives the essential behaviour of certain strange attractors that have recently been discussed.
Keywords
Computer ScienceMathematicsPhysics and Astronomy
Communications in Mathematical PhysicsA two-dimensional mapping with a strange attractor
2,982 Citations1976M. Hénon
A system of three first-order differential equations, whose solutions tend toward a “strange attractor”, is investigated, and it is shown that the same properties can be observed in a simple mapping of the plane defined by:xi+1=yi+1−axi2,yi-1=bxi.
Period Three Implies Chaos
2,614 Citations2004Tien-Yien Li, James A. Yorke
Journal of Mathematical BiologyThe dynamics of density dependent population models
394 Citations1977John Guckenheimer, George Oster +1 more
A theoretical analysis of the mathematical mechanisms underlying this complexity from the viewpoint of modern dynamical systems theory on a density-dependent Leslie model with two age classes and the existence of a "strange attractor" is demonstrated.
