scholarly journals Estimating parameters of chaotic system with variational method

2011 ◽  
Vol 60 (7) ◽  
pp. 070511
Author(s):  
Cao Xiao-Qun ◽  
Song Jun-Qiang ◽  
Zhang Wei-Min ◽  
Zhao Jun ◽  
Zhang Li-Lun
Keyword(s):  
Variational Method ◽  
Chaotic System

scholarly journals Parameter identification of map chaotic system with discrete variational method

2012 ◽  
Vol 61 (2) ◽  
pp. 020507
Author(s):  
Cao Xiao-Qun ◽  
Zhang Wei-Min ◽  
Song Jun-Qiang ◽  
Zhu Xiao-Qian ◽  
Zhao Jun
Keyword(s):  
Variational Method ◽  
Parameter Identification ◽  
Chaotic System ◽  
Discrete Variational Method

Numerical Study of the Structure and Thermodynamics of Colloidal Suspensions by Variational Method

2014 ◽  
pp. 12-26
Author(s):  
Khalid Elhasnaoui ◽  
◽  
A. Maarouf ◽  
M. Badia ◽  
M. Benhamou ◽  
...  
Keyword(s):  
Variational Method ◽  
Numerical Study ◽  
Colloidal Suspensions

Variational Method for Estimating the Dipole Moment in the Second Excited State of Fluorescein Molecule from its Electronic UV Absorption Spectra

2019 ◽  
Vol 70 (10) ◽  
pp. 3538-3544
Author(s):  
Alina Costina Luca ◽  
Ana Cezarina Morosanu ◽  
Irina Macovei ◽  
Dan Gheorghe Dimitriu ◽  
Dana Ortansa Dorohoi ◽  
...  
Keyword(s):  
Dipole Moment ◽  
Excited State ◽  
Variational Method ◽  
Electronic State ◽  
Excited Electronic State ◽  
Spectral Band ◽  
Uv Absorption ◽  
Optical Parameters ◽  
Electrical Permittivity ◽  
Fluorescein Molecule

Electro-optical parameters of fluorescein molecule in the second excited electronic state and information on the interactions with solvents were obtained from a solvatochromic study. Parameters of the solvents such as the refractive index, electrical permittivity and Kamlet-Taft parameters (hydrogen bond acidity and basicity) were related with the experimentally recorded shifts of UV absorption spectral band of fluorescein dissolved in several solvents. Through a variational method, the electric dipole moment and polarizability in excited state of fluorescein molecule were estimated. The calculus requires some parameters of the fluorescein molecule in the ground electronic state, which were determined through a quantum-mechanical study.

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