On the Qualitative Analysis of Dynamical Systems Subjected to Stochastic Excitations

1985 ◽  
Vol 65 (12) ◽  
pp. 641-644
Author(s):  
N. C. Menh
Keyword(s):  
Dynamical Systems ◽  
Qualitative Analysis ◽  
Stochastic Excitations

Exact Cuspon and Compactons of the Novikov Equation

2014 ◽  
Vol 24 (03) ◽  
pp. 1450037 ◽  
Author(s):  
Jibin Li
Keyword(s):  
Dynamical Systems ◽  
Qualitative Analysis ◽  
Traveling Wave ◽  
Wave Solution ◽  
Traveling Wave Solutions ◽  
Phase Portraits ◽  
Breaking Wave ◽  
Wave Solutions ◽  
Novikov Equation

In this paper, we apply the method of dynamical systems to the traveling wave solutions of the Novikov equation. Through qualitative analysis, we obtain bifurcations of phase portraits of the traveling system and exact cuspon wave solution, as well as a family of breaking wave solutions (compactons). We find that the corresponding traveling system of Novikov equation has no one-peakon solution.

Qualitative analysis of non-linear dynamical systems

1997 ◽  
Vol 145 (1-2) ◽  
pp. 135-145 ◽  
Author(s):  
Jitendra Agarwal ◽  
David I. Blockley ◽  
Norman J. Woodman
Keyword(s):  
Dynamical Systems ◽  
Qualitative Analysis ◽  
Linear Dynamical Systems ◽  
Non Linear
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