Centers of discontinuous piecewise smooth quasi–homogeneous polynomial differential systems
Copyright policy )Centers of discontinuous piecewise smooth quasi–homogeneous polynomial differential systems
In this paper we investigate the center problem for the discontinuous piecewise smooth quasi-homogeneous but non-homogeneous polynomial differential systems. First, we provide sufficient and necessary conditions for the existence of a center in the discontinuous piecewise smooth quasi-homogeneous polynomial differential systems. Moreover, these centers are global, and the period function of their periodic orbits is monotonic. Second, we characterize the centers of the discontinuous piecewise smooth quasi-homogeneous cubic and quartic polynomial differential systems.
- Shanghai Jiao Tong University China (People's Republic of)
- Autonomous University of Barcelona Spain
- Fuji University Japan
- Fuzhou University China (People's Republic of)
quasi-homogeneous polynomial systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, dynamics, Discontinuous ordinary differential equations, Quasi-homogeneous polynomial systems, piecewise smooth systems, Dynamics, Explicit solutions, first integrals of ordinary differential equations, Symmetries, invariants of ordinary differential equations, Periodic solutions to ordinary differential equations, global center, Global center, Piecewise smooth systems
quasi-homogeneous polynomial systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, dynamics, Discontinuous ordinary differential equations, Quasi-homogeneous polynomial systems, piecewise smooth systems, Dynamics, Explicit solutions, first integrals of ordinary differential equations, Symmetries, invariants of ordinary differential equations, Periodic solutions to ordinary differential equations, global center, Global center, Piecewise smooth systems
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