Controlling chaos in wave-particle interactions

被引：6

作者：

de Sousa, M. C. ^{[1
]}

Caldas, I. L. ^{[1
]}

Rizzato, F. B. ^{[2
]}

Pakter, R. ^{[2
]}

Steffens, F. M. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo, Brazil

[2] Univ Fed Rio Grande do Sul, Inst Fis, Porto Alegre, RS, Brazil

来源：

PHYSICAL REVIEW E | 2012年 / 86卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

STOCHASTICITY;

D O I：

10.1103/PhysRevE.86.016217

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We analyze the behavior of a relativistic particle moving under the influence of a uniform magnetic field and a stationary electrostatic wave. We work with a set of pulsed waves that allows us to obtain an exact map for the system. We also use a method of control for near-integrable Hamiltonians that consists of the addition of a small and simple control term to the system. This control term creates invariant tori in phase space that prevent chaos from spreading to large regions, making the controlled dynamics more regular. We show numerically that the control term just slightly modifies the system but is able to drastically reduce chaos with a low additional cost of energy. Moreover, we discuss how the control of chaos and the consequent recovery of regular trajectories in phase space are useful to improve regular particle acceleration.

引用

页数：7

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