Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 130, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2023.107735
Keywords
Planar vector fields; Inverse Jacobi multiplier; Periodic orbit
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This paper analyzes the role of non-autonomous inverse Jacobi multipliers in the problem of nonexistence, existence, localization, and hyperbolic nature of periodic orbits of planar vector fields. It extends and generalizes previous results that focused only on the autonomous or periodic case, providing novel applications of inverse Jacobi multipliers.
We analyze the role that non-autonomous (and not necessarily periodic) inverse Jacobi multipliers have in the problem of the nonexistence, existence and localization as well as the hyperbolic nature of periodic orbits of planar vector fields. This work generalizes and extends previous results already appearing in the literature which are only focusing in the autonomous or periodic case. Therefore we are able to provide novel applications of inverse Jacobi multipliers.
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