MASSIVE BIFURCATION OF CHAOTIC SCATTERING

M Z  DING; C  GREBOGI; E  OTT; J A  YORKE

MASSIVE BIFURCATION OF CHAOTIC SCATTERING

M Z DING, C GREBOGI, E OTT, J A YORKE

Physics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

In this paper we investigate a new type of bifurcation which occurs in the context of chaotic scattering. The phenomenology of this bifurcation is that the scattering is chaotic on both sides of the bifurcation, but, as the system parameter passes through the critical value, an infinite number of periodic orbits are destroyed and replaced by a new infinite class of periodic orbits. Hence the structure of the chaotic set is fundamentally altered by the bifurcation. The symbolic dynamics before and after the bifurcation, however, remains unchanged.

Original language	English
Pages (from-to)	21-26
Number of pages	6
Journal	Physics Letters A
Volume	153
Issue number	1
Publication status	Published - 18 Feb 1991

Keywords

IRREGULAR SCATTERING
POTENTIAL SCATTERING
VORTEX PAIRS
SINGULARITIES

Cite this

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title = "MASSIVE BIFURCATION OF CHAOTIC SCATTERING",

abstract = "In this paper we investigate a new type of bifurcation which occurs in the context of chaotic scattering. The phenomenology of this bifurcation is that the scattering is chaotic on both sides of the bifurcation, but, as the system parameter passes through the critical value, an infinite number of periodic orbits are destroyed and replaced by a new infinite class of periodic orbits. Hence the structure of the chaotic set is fundamentally altered by the bifurcation. The symbolic dynamics before and after the bifurcation, however, remains unchanged.",

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AU - GREBOGI, C

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AU - YORKE, J A

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Y1 - 1991/2/18

N2 - In this paper we investigate a new type of bifurcation which occurs in the context of chaotic scattering. The phenomenology of this bifurcation is that the scattering is chaotic on both sides of the bifurcation, but, as the system parameter passes through the critical value, an infinite number of periodic orbits are destroyed and replaced by a new infinite class of periodic orbits. Hence the structure of the chaotic set is fundamentally altered by the bifurcation. The symbolic dynamics before and after the bifurcation, however, remains unchanged.

AB - In this paper we investigate a new type of bifurcation which occurs in the context of chaotic scattering. The phenomenology of this bifurcation is that the scattering is chaotic on both sides of the bifurcation, but, as the system parameter passes through the critical value, an infinite number of periodic orbits are destroyed and replaced by a new infinite class of periodic orbits. Hence the structure of the chaotic set is fundamentally altered by the bifurcation. The symbolic dynamics before and after the bifurcation, however, remains unchanged.

KW - IRREGULAR SCATTERING

KW - POTENTIAL SCATTERING

KW - VORTEX PAIRS

KW - SINGULARITIES

M3 - Article

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VL - 153

SP - 21

EP - 26

JO - Physics Letters A

JF - Physics Letters A

IS - 1

ER -

MASSIVE BIFURCATION OF CHAOTIC SCATTERING

Abstract

Keywords

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