15 citations · 22 across the 8 of their papers we have counts for
8 papers
Tangent Space Excitation Ansatz for Quantum Circuits
Ji-Yao Chen, Bochen Huang, D. L. Zhou +3
Computing excitation spectra of quantum many-body systems is a promising avenue to demonstrate the practical utility of current noisy quantum devices, especially as we move toward…
Integrability and Linearizability of a Family of Three-Dimensional Polynomial Systems
Bo Huang, Ivan Mastev, Valery Romanovski
We investigate the local integrability and linearizability of a family of three-dimensional polynomial systems with the matrix of the linear approximation having the eigenvalues $1…
Stability and chaos of the duopoly model of Kopel: A study based on symbolic computations
Xiaoliang Li, Kongyan Chen, Wei Niu +1
Since Kopel's duopoly model was proposed about three decades ago, there are almost no analytical results on the equilibria and their stability in the asymmetric case. The first obj…
Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems
Bo Huang
This paper is devoted to the study of infinitesimal limit cycles that can bifurcate from zero-Hopf equilibria of differential systems based on the averaging method. We develop an e…
Zero-Hopf Bifurcation of Limit Cycles in Certain Differential Systems
Bo Huang, Dongming Wang
This paper studies the number of limit cycles that may bifurcate from an equilibrium of an autonomous system of differential equations. The system in question is assumed to be of d…
Algorithmic Averaging for Studying Periodic Orbits of Planar Differential Systems
Bo Huang
One of the main open problems in the qualitative theory of real planar differential systems is the study of limit cycles. In this article, we present an algorithmic approach for de…
Optimal parameter for the SOR-like iteration method for solving the system of absolute value equations
Cairong Chen, Dongmei Yu, Deren Han
The SOR-like iteration method for solving the absolute value equations~(AVE) of finding a vector such that with is investigated. The co…
An Algorithmic Approach to Limit Cycles of Nonlinear Differential Systems: the Averaging Method Revisited
Bo Huang, Chee Yap
This paper introduces an algorithmic approach to the analysis of bifurcation of limit cycles from the centers of nonlinear continuous differential systems via the averaging method.…