Institute for Computational Neuroscience

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Effect of Noise on The Period-Doubling Transition to Chaos in The Stochastic Systems

   In the first part, we will study effect of noise in the 1D map. In the second part, we will study effect of noise on bicritical scaling behavior in the unidirectionally coupled period doubling systems.

1.Stochastic 1D map

1. 1. Generation of the white noise. (Sep. 7).[ PPT ]

1. 2. Scaling behaviors in the stochastic 1D map. (Sep. 14).[ PPT ]

1. 3. Confirmation of the scaling behaviors in the stochastic 1D map. (Sep. 21).[ PPT ]

 

2. Effect of Noise on Unidirectionally Coupled Period-Doubling Systems

2. 1. Unidirectionally-coupled 1D Maps. (Sep. 28).[ PPT ]

2. 2. Numerical Algorithm for the Integrating SDEs(include Euler Method).(Oct. 5).[ PPT ]

2. 3. Numerical Algorithm for the Integrating SDEs(include 2nd order Runge Kutta Method).(Oct. 12).[ PPT ]

2. 4. Critical Scaling Behaviors of the Unidirectional Coupled Maps.(Nov. 2). [ PPT ]

2. 5. Critical Scaling Behavior near the Critical Point in the Stochastic 1D map.(Nov. 9). [ PPT ]

2. 6. Study of the Different Algorithms for Poincare Map of Parametrically Forced Pendulum.(Nov. 16). [ PPT ]

2. 7. Study of Stochastic 1D Map near the Critical Point with the Varying Noise Strength.(Nov. 23). [ PPT ]

2. 8. Study of Critical Scaling Behavior in the Stochastic 1D Map with the Varying Noise Strength.(Nov. 30). [ PPT ]

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