Gradual and Sudden Transition to Chaos in a Sinusoidally Driven Nonlinear Oscillator
作者： J. Awrejcewicz
DOI: 10.1143/JPSJ.58.4261
关键词: Attractor 、 Classical mechanics 、 Physics 、 Complex plane 、 Period-doubling bifurcation 、 Resonance 、 Nonlinear oscillators 、 Chaotic 、 Unit circle 、 Shooting method 、 General Physics and Astronomy
摘要: Two different scenarios leading from periodic orbits to chaotic are traced, based on the shooting method. Starting with 1/2 resonance solution, sudden appearance of strange attractor increase static load, is discussed and illustrated. For this case multiplier crosses unit circle complex plane at +1. When load decreases however solution first goes through three successive period doubling bifurcations fourth subharmonic resonance. This becomes particularly sensitive further decrease in then motion chaotic.
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