How Long to Read Differential Geometry Applied to Dynamical Systems

How Long Does it Take to Read Differential Geometry Applied to Dynamical Systems?

It takes the average reader 5 hours and 42 minutes to read Differential Geometry Applied to Dynamical Systems by Jean-Marc Ginoux

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

Description

This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory OCo or the flow OCo may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence identifying the main features of the system such as fixed points and their stability, local bifurcations of codimension one, center manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes). In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem.

How long is Differential Geometry Applied to Dynamical Systems?

Differential Geometry Applied to Dynamical Systems by Jean-Marc Ginoux is 341 pages long, and a total of 85,591 words.

This makes it 115% the length of the average book. It also has 105% more words than the average book.

How Long Does it Take to Read Differential Geometry Applied to Dynamical Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 47 minutes to read Differential Geometry Applied to Dynamical Systems aloud.

What Reading Level is Differential Geometry Applied to Dynamical Systems?

Differential Geometry Applied to Dynamical Systems 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 Differential Geometry Applied to Dynamical Systems?

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