On the birth of minimal sets for perturbed reversible vector fields
Copyright policy )On the birth of minimal sets for perturbed reversible vector fields
Agraïments: The second author is partially supported by a FAPESP-BRAZIL grant 2007/05215-4. The third author is partially supported by a FAPESP-BRAZIL grant 2007/06896-5. All the authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-P The results in this paper fit into a program to study the existence of periodic orbits, invariant cylinders and tori filled with periodic orbits in perturbed reversible systems. Here we focus on bifurcations of one-parameter families of periodic orbits for reversible vector fields in R4. The main used tools are normal forms theory, Lyapunov-Schmidt method and averaging theory.
Periodic orbit, Invariant torus, Isochronous center, Reversible system, Limit cycle, Averaging method
Periodic orbit, Invariant torus, Isochronous center, Reversible system, Limit cycle, Averaging method
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