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arxiv: 1701.02657 · v1 · pith:LBE33G26new · submitted 2016-12-08 · 🧮 math.DS

Isochronicity and linearizability of a planar cubic system

classification 🧮 math.DS
keywords linearizabilitysystemscubicfamilyplanarcentersclassificationcoexistence
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In this paper we investigate the problem of linearizability for a family of cubic complex planar systems of ordinary differential equations. We give a classification of linearizable systems in the family obtaining conditions for linearizability in terms of parameters. We also discuss coexistence of isochronous centers in the systems.

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