Transition to stochasticity in the relativistic and the nonrelativistic versions of a dynamical system

 
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1993 (EN)
Transition to stochasticity in the relativistic and the nonrelativistic versions of a dynamical system (EN)

Polymilis, C (EN)
Hizanidis, K (EN)

N/A (EN)

Issues related to the transition to stochastic relativistic and nonrelativistic motion of electrons in an electromagnetic wave propagating obliquely to a uniform magnetic field, such as stability, structure of the diagrams of characteristics, and the morphology of the bifurcation sequence in the latter, are thoroughly investigated. The spatiotemporal distributions of the electron energies, relativistically and nonrelativistically, are also examined. Major, qualitative, as well as quantitative differences in all aspects related to the transition to stochasticity and energy distribution are found. These dramatic differences lead to the conclusion that, at least as far as stochasticity is concerned, the nonrelativistic approximation is invalid even in the weakest possible relativistic case. However, from the theoretical point of view, the nonrelativistic model investigated here is in itself a very rich dynamical system with unusual behavior. © 1993 The American Physical Society. (EN)

journalArticle

ACCELERATION (EN)
PROPAGATING ELECTROMAGNETIC-WAVE (EN)
Dynamic System (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Physical Review E (EN)

1993


AMERICAN PHYSICAL SOC (EN)



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