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Answers for “为什么需要多个粒子来展示吸引子的复杂空间结构?”

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A single particle's trajectory cannot fully reveal the attractor's complex spatial structure. Adding multiple particles, such as 300, allows their collective trajectories to better illustrate the chaotic behavior and the overall three-dimensional shape of the attractor.

Conditions: Observing a single particle's trajectory.; Adding 300 particles to the simulation.

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The Chen–Lee attractor is an important example of a chaotic system proposed by Chinese scholars Guoliang Chen and Tianyan Li in the 1990s. Its mathematical expression is a set of nonlinear differential equations that describe a complex geometric structure in three-dimensional space.

Conditions: Proposed by Guoliang Chen and Tianyan Li in the 1990s.; Described by a set of nonlinear differential equations.

Meet the concept

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The Chen–Lee attractor is a chaotic system defined by a set of three coupled nonlinear ordinary differential equations. The specific parameter values used to generate its three-dimensional structure are a=5a=5, b=−10b=-10, and c=−0.38c=-0.38.

Conditions: The system is defined by three coupled nonlinear ordinary differential equations.; The parameters are set to a=5a=5, b=−10b=-10, and c=−0.38c=-0.38.