M
Maoan Han
Researcher at Shanghai Normal University
Publications - 249
Citations - 5307
Maoan Han is an academic researcher from Shanghai Normal University. The author has contributed to research in topics: Limit cycle & Limit (mathematics). The author has an hindex of 38, co-authored 235 publications receiving 4790 citations. Previous affiliations of Maoan Han include South China University of Technology & Qufu Normal University.
Papers
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Journal ArticleDOI
On Hopf bifurcation in non-smooth planar systems
Maoan Han,Weinian Zhang +1 more
TL;DR: In this article, the Hopf bifurcation problem for non-smooth planar systems was studied and it was shown that one or two limit cycles can be produced from an elementary focus of the least order (order 1 for FF or FP type and order 2 for PP type).
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Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
Yongli Song,Maoan Han,Junjie Wei +2 more
TL;DR: In this article, a delay-differential equation was used to model a bidirectional associative memory (BAM) neural network with three neurons and its dynamics were studied in terms of local analysis and Hopf bifurcation analysis.
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Dynamics in a ratio-dependent predator–prey model with predator harvesting
Dongmei Xiao,Wenxia Li,Maoan Han +2 more
TL;DR: Xiao et al. as mentioned in this paper studied the dynamical properties of a ratio-dependent predator-prey model with nonzero constant rate predator harvesting and showed that the model has at most two equilibria in the first quadrant and can exhibit numerous kinds of bifurcation phenomena.
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Bifurcation of Limit Cycles by Perturbing Piecewise Hamiltonian Systems
TL;DR: An expression of the first order Melnikov function is derived, which can be used to study the number of limit cycles bifurcated from the periodic orbits of piecewise Hamiltonian systems on the plane.
Book
Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
Maoan Han,Pei Yu +1 more
TL;DR: In this paper, the authors introduce the most recent developments in this field and provide major advances in fundamental theory of limit cycles, and provide a good balance between theoretical and applied topics.