Continuous cohomology of the group of volume-preserving and symplectic diffeomorphisms, measurable transfer and higher asymptotic cycles

1999 ◽  
Vol 5 (1) ◽  
pp. 181-198 ◽  
Author(s):  
A. Reznikov
Keyword(s):  
Symplectic Diffeomorphisms ◽  
Continuous Cohomology ◽  
Volume Preserving ◽  
Asymptotic Cycles

scholarly journals A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms

2013 ◽  
Vol 34 (5) ◽  
pp. 1503-1524 ◽  
Author(s):  
THIAGO CATALAN ◽  
ALI TAHZIBI
Keyword(s):  
Lyapunov Exponent ◽  
Lower Bound ◽  
Topological Entropy ◽  
Upper Semicontinuity ◽  
Periodic Points ◽  
Surface Diffeomorphisms ◽  
Symplectic Diffeomorphisms ◽  
Symbolic Extension ◽  
Symplectic Diffeomorphism ◽  
Volume Preserving

AbstractWe prove that a${C}^{1} $generic symplectic diffeomorphism is either Anosov or its topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of its periodic points. We also prove that${C}^{1} $generic symplectic diffeomorphisms outside the Anosov ones do not admit symbolic extension and, finally, we give examples of volume preserving surface diffeomorphisms which are not points of upper semicontinuity of the entropy function in the${C}^{1} $topology.

Volume preserving immersed boundary methods for two-phase fluid flows

2011 ◽  
Vol 69 (4) ◽  
pp. 842-858 ◽  
Author(s):  
Yibao Li ◽  
Eunok Jung ◽  
Wanho Lee ◽  
Hyun Geun Lee ◽  
Junseok Kim
Keyword(s):  
Fluid Flows ◽  
Immersed Boundary ◽  
Immersed Boundary Methods ◽  
Two Phase ◽  
Boundary Methods ◽  
Phase Fluid ◽  
Volume Preserving

Volume-preserving integrators have linear error growth

1998 ◽  
Vol 242 (1-2) ◽  
pp. 25-30 ◽  
Author(s):  
G.R.W Quispel ◽  
C.P Dyt
Keyword(s):  
Error Growth ◽  
Volume Preserving

scholarly journals More Mixed Volume Preserving Curvature Flows

2017 ◽  
Vol 27 (4) ◽  
pp. 3140-3165 ◽  
Author(s):  
James A. McCoy
Keyword(s):  
Mixed Volume ◽  
Volume Preserving
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