scholarly journals Dynamical Systems and Traveling Waves in Almost Periodic Structures

2001 ◽  
Vol 169 (2) ◽  
pp. 493-548 ◽  
Author(s):  
Wenxian Shen
Keyword(s):  
Dynamical Systems ◽  
Traveling Waves ◽  
Periodic Structures ◽  
Almost Periodic

scholarly journals StablePand distal dynamical systems

1984 ◽  
Vol 7 (1) ◽  
pp. 181-185
Author(s):  
S. S. Prasad ◽  
Anant Kumar
Keyword(s):  
Dynamical Systems ◽  
Periodic Motion ◽  
Uniform Space ◽  
Almost Periodic ◽  
Almost Periodic Motion

In this paper we study the behavior of dynamical systems in uniform space which are Poisson stable and distal. The main results are that the trajectories of such motions are closed and every almost periodic motion is stablePand distal. In complete uniform space, this motion is periodic, Lagrange stable and recurrent.

On the existence of traveling wave solutions and upper and lower bounds for some Fisher–Kolmogorov type equations

2014 ◽  
Vol 07 (05) ◽  
pp. 1450050 ◽  
Author(s):  
Juan Belmonte-Beitia
Keyword(s):  
Mathematical Biology ◽  
Dynamical Systems ◽  
Lower Bounds ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Systems Approach ◽  
Traveling Wave Solutions ◽  
Upper And Lower Bounds ◽  
Kolmogorov Type ◽  
Wave Solutions

In this paper, we use a dynamical systems approach to prove the existence of traveling waves solutions for the Fisher–Kolmogorov density-dependent equation. Moreover, we prove the existence of upper and lower bounds for these traveling wave solutions found previously. Finally, we present a particular example which has several applications in the mathematical biology field.

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