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Relativistic acceleration of Landau resonant particles as a consequence of Hopf bifurcations
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10.1063/1.3692234
/content/aip/journal/pop/19/3/10.1063/1.3692234
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/3/10.1063/1.3692234
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Eigenvalues’ dependence on the propagation angle for fixed parameters and the fixed point of component . The bifurcation through the positive real axis takes place for propagation angle . The fixed point is stable for and unstable for .

Image of FIG. 2.
FIG. 2.

(Color online) Particle orbits for parameters and initial conditions .

Image of FIG. 3.
FIG. 3.

(Color online) Particle orbits for parameters . The orbit is locked in phase-space and trapped along Z.

Image of FIG. 4.
FIG. 4.

(Color online) Particle orbits for parameters . The orbit is uniformly accelerated once locked in phase-space.

Image of FIG. 5.
FIG. 5.

(Color online) Particle orbits for . A torus emerges from the two Hopf bifurcations.

Image of FIG. 6.
FIG. 6.

(Color online) Lorentz factor as a function of time for and initial condition . The particle can be accelerated to MeV energies for time scales of less than a millisecond.

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/content/aip/journal/pop/19/3/10.1063/1.3692234
2012-03-06
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Relativistic acceleration of Landau resonant particles as a consequence of Hopf bifurcations
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/3/10.1063/1.3692234
10.1063/1.3692234
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