非线性物理：引言一一混沌 红、黄Forced Damped Pendulum 绿、蓝 ..with Four Basins Even something as simple as a periodically forced damped pendulum can have complex behavior.The computer-generated images left show initial positions that asymptote to one of different behaviors (one color for each behavior). For example,orbits starting at points in the blue region would yield a different type of motion from X"(t)+a*X(t)+sinX(t) orbits starting in the red region.The brighter the =F) shade of color,the longer it takes to settle into the F(t)=b+c*cos(t) corresponding motion.The different regions are separated by fractal basin boundaries.The pictures are made at increasing magnification levels. 非线性物理：引言－－混沌 红、黄 Forced Damped Pendulum 绿、蓝 ...with Four Basins Even something as simple as a periodically forced damped pendulum can have complex behavior. The computer-generated images left show initial positions that asymptote to one of different behaviors (one color for each behavior). For example, orbits starting at points in the blue region would yield a different type of motion from orbits starting in the red region. The brighter the shade of color, the longer it takes to settle into the corresponding motion. The different regions are separated by fractal basin boundaries. The pictures are made at increasing magnification levels. X''(t)+a*X'(t)+sinX(t) =F(t) F(t)=b+c*cos(t)