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→催生混沌理论的诞生
===催生混沌理论的诞生===
===催生混沌理论的诞生===
范德珀尔振子及受迫范德珀尔振子呈现的分叉性质，为最初被人类观测到的混沌现象之一，叩开了混沌世界的大门。1945年英国数学家卡特赖特（M.Cartwright）和李特伍德（J.Littlewood）在对受迫范德珀尔振子的研究中，在理论层面首次证明受迫范德珀尔方程存在奇异解，预示了混沌的可能性[19]。随后，日本学者上田睆亮（Ueda Yoshisuke）于1961年首次在模拟计算机上观察到混沌吸引子[8]，随着后续研究的深入，混沌理论的面纱也逐渐被科学家们所揭晓。
范德珀尔振子及受迫范德珀尔振子呈现的分叉性质，为最初被人类观测到的混沌现象之一，叩开了混沌世界的大门。1945年英国数学家卡特赖特（M.Cartwright）和李特伍德（J.Littlewood）在对受迫范德珀尔振子的研究中，在理论层面首次证明受迫范德珀尔方程存在奇异解，预示了混沌的可能性[19]。随后，日本学者上田睆亮（Ueda Yoshisuke）于1961年首次在模拟计算机上观察到混沌吸引子[20]，随着后续研究的深入，混沌理论的面纱也逐渐被科学家们所揭晓。
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==署名==
==署名==