scholarly journals Analyses of the electronic collective motions by means of a nonlinear dynamical equation

1980 ◽  
Vol 18 (6) ◽  
pp. 1523-1531
Author(s):  
Kaoru Toyoda
Keyword(s):  
Dynamical Equation ◽  
Nonlinear Dynamical ◽  
Collective Motions

Research on Chaotic Behavior of Concrete under External Load Based on Discontinuous Medium Mechanical Model

2009 ◽  
Vol 79-82 ◽  
pp. 1145-1148
Author(s):  
Hao Qin ◽  
Shu Cai Li
Keyword(s):  
External Load ◽  
Mechanical Model ◽  
Dynamical Equation ◽  
Chaotic Behavior ◽  
Concrete Material ◽  
Nonlinear Dynamical ◽  
Load Change ◽  
Nonlinear Science ◽  
Set Up ◽  
Discontinuous Medium

Outburst and random are typical characters of concrete when under external load. Traditional mechanics methods are difficult to be applied in. Depend on nonlinear science to set up the nonlinear dynamical equation that is fit for its characteristics. The subsystem dynamical equation of concrete is set up based on discontinuous medium mechanical model, and find that the concrete dynamical equation under external load is a Duffin equation. Then analyze and discuss the effect of external load on concrete by math analysis soft of maple. Results show that the concrete material take on complicated response to external load change.

scholarly journals Nonlinear Dynamical Equation for Irreversible, Steepest-Entropy-Ascent Relaxation to Stable Equilibrium

2007 ◽  
Author(s):  
Gian Paolo Beretta ◽  
Guillaume Adenier ◽  
Andrei Yu. Khrennikov ◽  
Pekka Lahti ◽  
Vladimir I. Man'ko ◽  
...  
Keyword(s):  
Dynamical Equation ◽  
Stable Equilibrium ◽  
Nonlinear Dynamical
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