Heteroclinic connections in the dynamics of a reversible magnetic-type vector field

✍ Scribed by Emilia Petrişor

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 509 KB
• Volume: 112
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00220-0

✦ Synopsis

Using theoretical approach, and numerical and symbolic computation we investigate the dynamics of a reversible magnetictype vector field. Exploiting reversibility of the system we find the boundary of the basins of attraction of two symmetric current conducting wires and show that a magnetic-type vector field can have two asymmetric hyperbolic equilibrium points whose flow-invariant manifolds intersect giving rise to a heteroclinic structure, i.e. a family of symmetric spatial polycycles. Each polycycle is approached by a family of periodic orbits whose period tends to infinity.