3 papers
math-ph2020
Recent advances in the monodromy theory of integrable Hamiltonian systems
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
The notion of monodromy was introduced by J. J. Duistermaat as the first obstruction to the existence of global action coordinates in integrable Hamiltonian systems. This invariant…
nlin.AO2019
Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies
Jian Gao, Konstantinos Efstathiou
We consider the synchronization of oscillators in complex networks where there is an interplay between the oscillator dynamics and the network topology. Through a remarkable transf…
math-ph2019
Hamiltonian monodromy and Morse theory
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the sys…