scholarly journals On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems

2017 ◽  
Vol 27 (6) ◽  
pp. 063102 ◽  
Author(s):  
Oliver Junge ◽  
Ioannis G. Kevrekidis
Keyword(s):  
Dynamical Systems ◽  
Variational Approach ◽  
Invariant Sets

scholarly journals Characteristic exponents of dynamical systems in metric spaces

1983 ◽  
Vol 3 (1) ◽  
pp. 119-127 ◽  
Author(s):  
Yuri Kifer
Keyword(s):  
Dynamical Systems ◽  
Metric Spaces ◽  
Invariant Sets ◽  
Characteristic Exponents ◽  
Smooth Case

AbstractWe introduce for dynamical systems in metric spaces some numbers which in the case of smooth dynamical systems turn out to be the maximal and the minimal characteristic exponents. These numbers have some properties similar to the smooth case. Analogous quantities are defined also for invariant sets.

scholarly journals Invariant Sets in Quasiperiodically Forced Dynamical Systems

2020 ◽  
Vol 19 (1) ◽  
pp. 329-351
Author(s):  
Yoshihiko Susuki ◽  
Igor Mezić
Keyword(s):  
Dynamical Systems ◽  
Invariant Sets

scholarly journals Variational Approach to Closure of Nonlinear Dynamical Systems: Autonomous Case

2019 ◽  
Vol 179 (5-6) ◽  
pp. 1073-1160 ◽  
Author(s):  
Mickaël D. Chekroun ◽  
Honghu Liu ◽  
James C. McWilliams
Keyword(s):  
Dynamical Systems ◽  
Variational Approach ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Autonomous Case

scholarly journals Topological bifurcations of minimal invariant sets for set-valued dynamical systems

2015 ◽  
Vol 143 (9) ◽  
pp. 3927-3937 ◽  
Author(s):  
Jeroen S. W. Lamb ◽  
Martin Rasmussen ◽  
Christian S. Rodrigues
Keyword(s):  
Dynamical Systems ◽  
Invariant Sets
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