Coexistence of Algebraic Limit Cycles and Small Limit Cycles of Two Classes of Near-Hamiltonian Systems with a Nilpotent Singular Point
Year: 2024
Type: article
Abstract: In this paper, two classes of near-Hamiltonian systems with a nilpotent center are considered: the coexistence of algebraic limit cycles and small limit cycles. For the first class of systems, there exist 2n+1 limit cycles, which include an algebraic limit cycle and 2n small limit cycles. For the second class of systems, there exist n2+3n+22 limit cycles, including an algebraic limit cycle and n2+3n2 small limit cycles.
Source: Axioms
Authors: Huimei Liu, Meilan Cai, Feng Li
Institution: Linyi University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4402049930