scholarly journals Lyapunov exponents and the natural invariant density determination of chaotic maps: an iterative maximum entropy ansatz

2010 ◽  
Vol 43 (12) ◽  
pp. 125103 ◽  
Author(s):  
Parthapratim Biswas ◽  
Hironori Shimoyama ◽  
Lawrence R Mead
Keyword(s):  
Maximum Entropy ◽  
Lyapunov Exponents ◽  
Chaotic Maps ◽  
Invariant Density ◽  
Density Determination

Density Determination of Sintered Steel – Results of a Round Robin Test

2019 ◽  
Vol 56 (11) ◽  
pp. 731-746
Author(s):  
R. Peters ◽  
P. Beiss ◽  
S. Lindlohr
Keyword(s):  
Round Robin ◽  
Sintered Steel ◽  
Round Robin Test ◽  
Density Determination

Two Simplest Quadratic Chaotic Maps Without Equilibrium

2018 ◽  
Vol 28 (12) ◽  
pp. 1850144 ◽  
Author(s):  
Shirin Panahi ◽  
Julien C. Sprott ◽  
Sajad Jafari
Keyword(s):  
Dynamical System ◽  
Bifurcation Diagram ◽  
Lyapunov Exponents ◽  
Chaotic Maps ◽  
Basin Of Attraction ◽  
Hidden Attractor ◽  
Return Map ◽  
Right Hand ◽  
Dynamical Properties ◽  
The Right

Two simple chaotic maps without equilibria are proposed in this paper. All nonlinearities are quadratic and the functions of the right-hand side of the equations are continuous. The procedure of their design is explained and their dynamical properties such as return map, bifurcation diagram, Lyapunov exponents, and basin of attraction are investigated. These maps belong to the hidden attractor category which is a newly introduced category of dynamical system.

ChemInform Abstract: EXPERIMENTAL ELECTRON DENSITY DETERMINATION OF μ-METHYLENE COMPLEXES OF THE DIMETALLOCYCLOPROPANE TYPE

1982 ◽  
Vol 13 (4) ◽  
Author(s):  
D. A. CLEMENTE ◽  
B. REES ◽  
G. BANDOLI ◽  
M. CINGI BIAGINI ◽  
B. REITER ◽  
...  
Keyword(s):  
Electron Density ◽  
Density Determination ◽  
Experimental Electron Density

Synthesis and charge density determination of 4,4-difluoro-3,5-diphenyl-4H-pyrazole and a hydrate derivative

2015 ◽  
Vol 173 ◽  
pp. 12-17 ◽  
Author(s):  
LeAnn Walton ◽  
Holly R. Duplain ◽  
Allyson L. Knapp ◽  
Cheryl K. Eidell ◽  
John Bacsa ◽  
...  
Keyword(s):  
Charge Density ◽  
Density Determination
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