Mechanical Systems, Classical Models: Volume 3: Analytical Mechanics / Edition 1

Mechanical Systems, Classical Models: Volume 3: Analytical Mechanics / Edition 1

by Petre P. Teodorescu
     
 

This last title in a three-volume work studies analytical mechanics. Coverage includes such topics as Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables.

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Overview

This last title in a three-volume work studies analytical mechanics. Coverage includes such topics as Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables.

Product Details

ISBN-13:
9789048127634
Publisher:
Springer Netherlands
Publication date:
07/30/2009
Series:
Mathematical and Analytical Techniques with Applications to Engineering Series
Edition description:
2009
Pages:
772
Product dimensions:
9.21(w) x 6.14(h) x 1.63(d)

Table of Contents

Table of Contents – continued from Volume 1 and 2:
Preface
18. Langrangian Mechanics – 1. Preliminary results; 2. Langrange’s equations; 3. Other problems concerning Lagrange’s equations.
19. Hamiltonian Mechanics – 1. Hamilton’s equations; 2. The Hamilton-Jacobi method.
20. Variational Principles. Canonical Transformations – 1. Variational principles; 2. Canonical transformations; 3. Symmetry transformations. Noether’s theorem. Conservation laws.
21. Other Considerations on Analytical Methods in Dynamics of Discrete Mechanical Systems – 1. Integral invariants. Ergodic theorems; 2. Periodic motions. Action – angle variables; 3. Methods of exterior differential calculus. Elements of invariantive mechanics; 4. Formalisms in the dynamics of mechanical systems; 5. Control systems.
22. Dynamics of Non-Holonomic Mechanical Systems – 1. Kinematics of non-holonomic mechanical systems; 2. Lagrange’s equations. Other equations of motion; 3. Gibbs – Appell equations; 4. Other problems on the dynamics of non-holonomic mechanical systems.
23. Stability and Vibrations – 1. Stability of mechanical systems; 2. Vibrations of mechanical systems.
24. Dynamical Systems. Catastrophes and Chaos – 1. Continuous and discrete dynamical systems; 2. Elements of the theory of catastrophes; 3. Periodic solutions. Global bifurcations; 4. Fractals. Chaotic motions.
References.

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