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ZERO LOCI OF ADMISSIBLE NORMAL FUNCTIONS WITH TORSION SINGULARITIES
NORMAL FUNCTIONS TORSION SINGULARITIES
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2015/9/29
We show that the zero locus of a normal function on a smooth
complex algebraic variety S is algebraic provided that the normal function extends to a admissible normal function on a smooth compacti...
Notation for Iteration of Functions, Iteral
Notation Iteration of Functions Iteral Dynamical Systems
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2012/7/11
A new mathematical notation is proposed for the iteration of functions. It facilitates the application of the iteration of functions in mathematical and logical expressions, definitions of sets, and f...
Morse decomposition and Lyapunov functions for dynamical systems
Differential equation and dynamical system Morse decomposition Lyapunov function
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2011/10/18
In this paper, we review Morse decomposition and Lyapunov functions. Most of the results are due to Conley and are known. Attractor-repeller pairs and Morse decompositions are very useful to study the...
Existence of complete Lyapunov functions for semiflows on separable metric spaces
Lyapunov functions Semiflows Separable metric space
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2011/9/23
Abstract: The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map. As a byproduct we assure the exis...