Results 281 to 290 of about 20,941 (309)

A program for normalised morse functions

Computer Physics Communications, 1972
J.R. Parkinson, D.T. Birtwistle
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The Topology of Morse Functions

2011
The present chapter is the heart of Morse theory, which is based on two fundamental principles. The “weak” Morse principle states that as long as the real parameter t varies in an interval containing only regular values of a smooth function \(f : M \rightarrow \mathbb{R}\), the topology of the sublevel set {f ≤ t} is independent of t.
openaire   +1 more source

A finite graph is homeomorphic to the Reeb graph of a Morse–Bott function

Mathematica Slovaca, 2021
Irina Gelbukh
exaly  

Morse Inequalities for Zeta Functions

The Annals of Mathematics, 1975
openaire   +1 more source

Accuracy of the new modified Morse potential energy function for ground and excited states of diatomic molecules

Physics Open, 2023
A M Desai
exaly  

On the equivalence of exact Morse functions

1980
A Morse function f on a closed manifold M assigning the level \(\lambda\) to every critical point of index \(\lambda\) is called exact (or nice minimal or precise or perfect) if the number of critical points of index \(\lambda\) equals \(p_{\lambda}+q_{\lambda}+q_{\lambda -1}\) where \(p_{\lambda}\) is the rank of the free part of \(H_{\lambda}(M ...
openaire   +2 more sources

Construction of the Morse – Bott Energy Function for Regular Topological Flows

Regular and Chaotic Dynamics, 2021
O V Pochinka, Svetlana Kh Zinina
exaly  

The algebraic construction of the Novikov complex of a circle-valued Morse function

Mathematische Annalen, 2002
Andrew Ranicki, Ranicki Andrew
exaly  

Effects of oscillatory behavior of the dipole function on the dissociation dynamics of the classical driven Morse oscillator

Physica D: Nonlinear Phenomena, 2012
Emanuel F de Lima, R Egydio DE CARVALHO
exaly  

Construction of the Green's function for the Morse potential

European Physical Journal D, 1993
L Chetouani, L Guechi, T F Hammann
exaly