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math.DS2009
A sufficient condition for bifurcation in random dynamical systems
Xiaopeng Chen, Jinqiao Duan, Xinchu Fu
Some properties of random Conley index are obtained and then a sufficient condition for the existence of abstract bifurcation points for both discrete-time and continuous-time rand…
math.DS2009
State space decomposition for nonautonomous dynamical systems
Xiaopeng Chen, Jinqiao Duan
Decomposition of state spaces into dynamically different components is helpful for the understanding of dynamical behaviors of complex systems. A Conley type decomposition theorem…