scholarly journals Phase portrait, multi-stability, sensitivity and chaotic analysis of Gardner’s equation with their wave turbulence and solitons solutions

2021 ◽  
pp. 104981
Author(s):  
Adil Jhangeer ◽  
Muhammad Muddassar ◽  
Jan Awrejcewicz ◽  
Zarmeena Naz ◽  
Muhammad Bilal Riaz
Games ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 17
Author(s):  
Rocio Botta ◽  
Gerardo Blanco ◽  
Christian E. Schaerer

Improving and maintaining cooperation are fundamental issues for any project to be time-persistent, and sanctioning free riders may be the most applied method to achieve it. However, the application of sanctions differs from one group (project or institution) to another. We propose an optional, public good game model where a randomly selected set of the free riders is punished. To this end, we introduce a parameter that establishes the portion of free riders sanctioned with the purpose to control the population state evolution in the game. This parameter modifies the phase portrait of the system, and we show that, when the parameter surpasses a threshold, the full cooperation equilibrium point becomes a stable global attractor. Hence, we demonstrate that the fractional approach improves cooperation while reducing the sanctioning cost.


1994 ◽  
Vol 1 (5) ◽  
pp. 1142-1153 ◽  
Author(s):  
K. L. Sidikman ◽  
B. A. Carreras ◽  
P. H. Diamond ◽  
L. Garcia

1996 ◽  
Vol 38 (12) ◽  
pp. 2143-2154 ◽  
Author(s):  
Thomas Sunn Pedersen ◽  
Poul K Michelsen ◽  
Jens Juul Rasmussen

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