A system is chaotic if it displays these properties (mark all correct answers) : The dynamic update rules uses all the history of the system evolution and stochastic mechanism to determine the next state of the system. The dynamic update rule can uniquely determine the next state of the system based on its current state. The number of different states the system can be in is bounded by some, potentially huge number. If the dynamic update rule of the system is changed a bit, the trajectory of its future states will be completely different. The system can sometimes return to one of the states that it was previously in. At any point in time, the state of the system is drawn drawn some bounded range. The system never returns to a state it was in before. If the initial state of the system is changed a bit, the trajectory of its future states will be completely different.   There are more than one correct answer. please explain why

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter21: Simulation
Section21.5: Simulations With Continuous Random Variables
Problem 2P
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A system is chaotic if it displays these properties (mark all correct answers) :

The dynamic update rules uses all the history of the system evolution and stochastic mechanism to determine the next state of the system.

The dynamic update rule can uniquely determine the next state of the system based on its current state.

The number of different states the system can be in is bounded by some, potentially huge number.

If the dynamic update rule of the system is changed a bit, the trajectory of its future states will be completely different.

The system can sometimes return to one of the states that it was previously in.

At any point in time, the state of the system is drawn drawn some bounded range.

The system never returns to a state it was in before.

If the initial state of the system is changed a bit, the trajectory of its future states will be completely different.

 

There are more than one correct answer. please explain why 

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