### 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

*Physics Letters A*,

*153*(1), 21-26.

**MASSIVE BIFURCATION OF CHAOTIC SCATTERING.** / DING, M Z ; GREBOGI, C ; OTT, E ; YORKE, J A .

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 153, no. 1, pp. 21-26.

}

TY - JOUR

T1 - MASSIVE BIFURCATION OF CHAOTIC SCATTERING

AU - DING, M Z

AU - GREBOGI, C

AU - OTT, E

AU - YORKE, J A

PY - 1991/2/18

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

VL - 153

SP - 21

EP - 26

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 1

ER -