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Periodic Solutions of Nonlinear Dynamical Systems
Eduard Reithmeier
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Description for Periodic Solutions of Nonlinear Dynamical Systems
Paperback. Addressing mathematicians and engineers working with nonlinear dynamics, this monograph describes the multiple shooting method, which is employed in numerically computing limit cycles. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations. Series: Lecture Notes in Mathematics. Num Pages: 180 pages, biography. BIC Classification: PBKS; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 9. Weight in Grams: 580.
Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many different fields of application. Although, there is extensive literature on periodic solutions, in particular on existence theorems, the connection to physical and technical applications needs to be improved. The bifurcation behavior of periodic solutions by means of parameter variations plays an important role in transition to chaos, so numerical algorithms are necessary to compute periodic solutions and investigate their stability on a numerical basis. From the technical point of view, dynamical systems with discontinuities are of special interest. The discontinuities may occur with respect to the ... Read more
Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many different fields of application. Although, there is extensive literature on periodic solutions, in particular on existence theorems, the connection to physical and technical applications needs to be improved. The bifurcation behavior of periodic solutions by means of parameter variations plays an important role in transition to chaos, so numerical algorithms are necessary to compute periodic solutions and investigate their stability on a numerical basis. From the technical point of view, dynamical systems with discontinuities are of special interest. The discontinuities may occur with respect to the ... Read more
Product Details
Format
Paperback
Publication date
1991
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
180
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
174
Place of Publication
Berlin, Germany
ISBN
9783540545125
SKU
V9783540545125
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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