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Route to chaos via strange non-chaotic attractors
Tomasz Kapitaniak, Enrique Ponce, Jerzy Wojewoda
University of Leeds
来源Journal of Physics A Mathematical and General
年份1990
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摘要与影响
摘要 · 完整
The route to chaos in quasiperiodically forced systems is investigated. It has been found that chaotic behaviour is obtained after the breaking of three-frequency torus, but strange non-chaotic attractors are present before three-frequency quasiperiodic behaviour occurs.
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学术脉络
学科主题
计算机 / AIMathematical Dynamics and Fractals
Quantum chaos and dynamical systems · Chaos control and synchronization
参考文献 7
Analytical conditions for strange chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation
被引 25J. Brindley, Tomasz Kapitaniak, Μ.S. El Naschie · Physica D Nonlinear Phenomena · 1991
Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic
被引 193Mingzhou Ding, Celso Grebogi, Edward Ott · Physical Review A · 1989
Dimensions of strange nonchaotic attractors
被引 101Mingzhou Ding, Celso Grebogi, Edward Ott · Physics Letters A · 1989
此处列出前 3 条
引用本文 49
Characterizing strange nonchaotic attractors
被引 231Arkady Pikovsky, Ulrike Feudel · Chaos An Interdisciplinary Journal of Nonlinear Science · 1995
The birth of strange nonchaotic attractors
被引 201James F. Heagy, Stephen Hammel · Physica D Nonlinear Phenomena · 1994
Strange non-chaotic attractor in a quasiperiodically forced circle map
被引 141Ulrike Feudel, Jürgen Kurths, Arkady Pikovsky · Physica D Nonlinear Phenomena · 1995
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