scholarly journals Exact Coherent Structures and Phase Space Geometry of Preturbulent 2D Active Nematic Channel Flow

2022 ◽  
Vol 128 (2) ◽  
Author(s):  
Caleb G. Wagner ◽  
Michael M. Norton ◽  
Jae Sung Park ◽  
Piyush Grover
1995 ◽  
Vol 105 (3) ◽  
pp. 1539-1545 ◽  
Author(s):  
V. P. Pavlov ◽  
A. O. Starinetz

2000 ◽  
Vol 62 (5) ◽  
pp. 6078-6081 ◽  
Author(s):  
Monica Cerruti-Sola ◽  
Marco Pettini ◽  
E. G. D. Cohen

A catastrophe in a dissipative dynamical system which causes an attractor to completely lose stability will result in a transient trajectory making a rapid jump in phase space to some other attractor. In systems where more than one other attractor is available, the attractor chosen may depend very sensitively on how the catastrophe is realized. Two examples in forced oscillators of Duffing type illustrate how the probabilities of different outcomes can be estimated using the phase space geometry of invariant manifolds.


1997 ◽  
Vol 624 (3) ◽  
pp. 472-494 ◽  
Author(s):  
Z. Basrak ◽  
Ph. Eudes ◽  
P. Abgrall ◽  
F. Haddad ◽  
F. Sébille

Sign in / Sign up

Export Citation Format

Share Document