| Phase Desynchronization as a Mechanism for Transitions to High—Dimensional Chaos |
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| 引用本文： | ZHENGZhi－Gang HUGang 等.Phase Desynchronization as a Mechanism for Transitions to High—Dimensional Chaos[J].理论物理通讯,2001,35(6):682-688. |
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| 作者姓名： | ZHENGZhi－Gang HUGang |
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| 作者单位： | [1]DepartmentofPhysics,BeijingNormalUniversity,Beijing100875,China [2]DepartmentofPhysics,BeijingNormalUniv |
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| 摘 要： | Phase is an important degree of freedom in studies of chaotic oscillations.Phase coherence and localization in coupled chaotic elements are studied.It is shown that phase desynchronization is a key mechanism responsible for the transitions from low-to high-dimensional chaos.The route from low-dimensional chaos to high-dimensional toroidal chaos is accompanied by a cascade of phase desynchronizations.Phase synchronization tree is adopted to exhibit the entrainment process.This bifurcation tree implies an intrinsic cascade of order embedded in irregular motions.
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| 关 键 词： | 非线性动力系统 高维混沌 相位同步 |
| 收稿时间： | 2000-08-15 |
Phase Desynchronization as a Mechanism for Transitions to
High-Dimensional Chaos |
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| ZHENG Zhi-Gang and HU Gang.Phase Desynchronization as a Mechanism for Transitions to
High-Dimensional Chaos[J].Communications in Theoretical Physics,2001,35(6):682-688. |
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| Authors: | ZHENG Zhi-Gang and HU Gang |
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| Institution: | Department of Physics, Beijing Normal University, Beijing 100875, China |
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| Abstract: | Phase is an important degree of freedom in studies of chaotic oscillations.
Phase coherence and localization in coupled chaotic elements are studied. It
is shown that phase desynchronization is a key mechanism responsible for the
transitions from low- to high-dimensional chaos. The route from
low-dimensional chaos to high-dimensional toroidal chaos is accompanied by a cascade of phase desynchronizations. Phase synchronization tree is adopted
to exhibit the entrainment process. This bifurcation tree implies an
intrinsic cascade of order embedded in irregular motions. |
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| Keywords: | phase synchronization phase localization Lyapunov exponents |
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