Suppression of Period Doubling in Symmetric Systems
作者： James W. Swift , Kurt Wiesenfeld
DOI: 10.1103/PHYSREVLETT.52.705
关键词: Pendulum (mathematics) 、 Periodic function 、 Physics 、 Symmetry (physics) 、 Classical mechanics 、 Lorenz system 、 Period-doubling bifurcation 、 Symmetric systems 、 Nonlinear system 、 Convection
摘要: The role of symmetry is examined in systems displaying period-doubling instabilities. It found that symmetric orbits will not undergo period doubling except extraordinary cases. Such exceptional cases cannot occur a large class systems, including the sinusoidally driven damped pendulum and Lorenz equations.
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