CHAOTIC AND QUASIPERIODIC MOTIONS OF THREE PLANAR CHARGED PARTICLES
2001 ◽
Vol 11
(07)
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pp. 1937-1951
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We study two dynamical systems for the motion of three planar charged particles with charges nj ∈ {±1}, j = 1, 2, 3. Both dynamical systems are parametric with a parameter α ∈ [0, 1] and have the same nonlinear terms. As α = 0, 1, the dynamical systems have no chaos. However, one dynamical system may create chaos as α varies from zero to one. This may provide an example to show that the homotopy deformation of dynamical systems cannot preserve the long-time dynamics even though the dynamical systems have the same nonlinear terms.
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2017 ◽
Vol 49
(4)
◽
pp. 2468-2495
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1992 ◽
Vol 68
(11)
◽
pp. 1637-1640
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2021 ◽
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2019 ◽
Vol 234
(2)
◽
pp. 925-1006
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