Dynamical behavior, transient chaos, and riddled basins of two charged particles in a Paul trap

1997 ◽  
Vol 55 (3) ◽  
pp. 2159-2164 ◽  
Author(s):  
Jing-Ling Shen ◽  
Hua-Wei Yin ◽  
Jian-Hua Dai ◽  
Hong-Jun Zhang
1999 ◽  
Vol 60 (1) ◽  
pp. 704-707 ◽  
Author(s):  
Guang-Cai Zhang ◽  
Jing-Ling Shen ◽  
Jian-Hua Dai ◽  
Hong-Jun Zhang

2000 ◽  
Vol 9 (6) ◽  
pp. 424-431
Author(s):  
Shen Jing-ling ◽  
Zhang Guang-cai ◽  
Dai Jian-hua ◽  
Zhang Hong-jun

2011 ◽  
Vol 21 (03) ◽  
pp. 903-915 ◽  
Author(s):  
YING ZHANG ◽  
BRUNO ROSSETTO ◽  
WEI XU ◽  
XIAOLE YUE ◽  
TONG FANG

This paper is devoted to the dynamical behavior of a parametrically driven double-well Duffing (PDWD) system. Despite the invariant property of symmetry, this simple model exhibits a large diversity of patterns which can be observed in different situations. The transitions between symmetric forms of system responses often lead to bifurcation or crisis and complicated behaviors, such as the coexistence of different kinds of attractors. The bifurcations and crises are discussed, especially those inside the main periodic window. In particular, the role of chaotic saddles and their intrinsic links with the basin of attraction and transient chaos is studied.


2021 ◽  
Vol 67 (6 Nov-Dec) ◽  
Author(s):  
François Kapche Tagne ◽  
Guillaume Honoré KOM ◽  
Marceline Motchongom Tingue ◽  
Pierre Kisito Talla ◽  
V. Kamdoum Tamba

The dynamics of an integer-order and fractional-order Lorenz like system called Shimizu-Morioka system is investigated in this paper. It is shown thatinteger-order Shimizu-Morioka system displays bistable chaotic attractors, monostable chaotic attractors and coexistence between bistable and monostable chaotic attractors. For suitable choose of parameters, the fractional-order Shimizu-Morioka system exhibits bistable chaotic attractors, monostable chaotic attractors, metastable chaos (i.e. transient chaos) and spiking oscillations. The bifurcation structures reveal that the fractional-order derivative affects considerably the dynamics of Shimizu-Morioka system. The chain fractance circuit is used to designand implement the integer- and fractional-order Shimizu-Morioka system in Pspice. A close agreement is observed between PSpice based circuit simulations and numerical simulations analysis. The results obtained in this work were not reported previously in the interger as well as in fractional-order Shimizu-Morioka system and thus represent an important contribution which may help us in better understanding of the dynamical behavior of this class of systems.


2003 ◽  
Vol 21 (4) ◽  
pp. 549-552 ◽  
Author(s):  
ERIK P. GILSON ◽  
RONALD C. DAVIDSON ◽  
PHILIP C. EFTHIMION ◽  
RICHARD MAJESKI ◽  
HONG QIN

The assembly of the Paul Trap Simulator Experiment (PTSX) is now complete and experimental operations have begun. The purpose of PTSX, a compact laboratory facility, is to simulate the nonlinear dynamics of intense charged particle beam propagation over a large distance through an alternating-gradient transport system. The simulation is possible because the quadrupole electric fields of the cylindrical Paul trap exert radial forces on the charged particles that are analogous to the radial forces that a periodic focusing quadrupole magnetic field exert on the beam particles in the beam frame. By controlling the waveform applied to the walls of the trap, PTSX will explore physics issues such as beam mismatch, envelope instabilities, halo particle production, compression techniques, collective wave excitations, and beam profile effects.


2021 ◽  
pp. 88-92
Author(s):  
Leonid Василяк ◽  
Vladimir Vladimirov ◽  
Lidiya Deputatova ◽  
Vladimir Pecherkin ◽  
Roman Syrovatka ◽  
...  

A charged filament stretched along the axis of a linear electrodynamic trap performs an oscillatory-rotational motion, as a result of which the charged particles are captured by the filament in the regions of the antinodes. Such a dynamic thread is actually an additional trap inside the Paul trap.


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