How Long to Read Surveying a Dynamical System

By Khalid Alhumaizi

How Long Does it Take to Read Surveying a Dynamical System?

It takes the average reader 6 hours and 4 minutes to read Surveying a Dynamical System by Khalid Alhumaizi

Assuming a reading speed of 250 words per minute. Learn more

Description

When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower dimension. Using an example with three differential equations and six parameters it is shown how the available methods of singularity theory, bifurcation analysis, normal forms, etc. can be used to build up a picture of varied and interesting behavior. The model is a generalization of the Gray-Scott reaction scheme in a single stirred vessel to a two-phase reactor consisting of a reaction chamber and a reservoir communicating with each other through a semi-permeable membrane. Two forms exist according as to whether A is fed to the reactor and B to the reservoir or vice-versa, and show interesting differences of behavior. Both models undergo Hopf bifurcations, pitchfork transitions, have homoclinic orbits, take the period doubling route to chaos and one gets there by intermittency. Besides being of interest to mathematicians as an ecological study of a differentiable system, it is hoped that, though idealized, the fact that it corresponds closely to a real type of reactor will make it attractive to control engineers and others as a testing ground for their various methods and devices. This book will be of particular interest to students and researchers in mathematics and engineering , particularly those working in bifurcation or chaos theory.

How long is Surveying a Dynamical System?

Surveying a Dynamical System by Khalid Alhumaizi is 356 pages long, and a total of 91,136 words.

This makes it 120% the length of the average book. It also has 111% more words than the average book.

How Long Does it Take to Read Surveying a Dynamical System Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 18 minutes to read Surveying a Dynamical System aloud.

What Reading Level is Surveying a Dynamical System?

Surveying a Dynamical System is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Surveying a Dynamical System?

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