Matches in Harvard for { <http://id.lib.harvard.edu/aleph/002379833/catalog> ?p ?o. }
Showing items 1 to 30 of
30
with 100 items per page.
- catalog abstract "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 variables describing the configuration space manifold or/and with respect to the variables of the vector-field of the dynamical system. The multiple shooting method is employed in computing limit cycles numerically, and is modified for systems with discontinuities. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations. The text addresses mathematicians interested in engineering problems as well as engineers working with nonlinear dynamics.".
- catalog contributor b3424554.
- catalog created "1991.".
- catalog date "1991".
- catalog date "1991.".
- catalog dateCopyrighted "1991.".
- catalog description "Includes bibliographical references.".
- catalog description "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 variables describing the configuration space manifold or/and with respect to the variables of the vector-field of the dynamical system. The multiple shooting method is employed in computing limit cycles numerically, and is modified for systems with discontinuities. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations. The text addresses mathematicians interested in engineering problems as well as engineers working with nonlinear dynamics.".
- catalog extent "vi, 171 p. :".
- catalog hasFormat "Periodic solutions of nonlinear dynamical systems.".
- catalog identifier "0387545123".
- catalog identifier "3540545123 :".
- catalog isFormatOf "Periodic solutions of nonlinear dynamical systems.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1483.".
- catalog isPartOf "Lecture notes in mathematics ; 1483".
- catalog issued "1991".
- catalog issued "1991.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Periodic solutions of nonlinear dynamical systems.".
- catalog subject "510 s 515/.355 20".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Differential equations, Nonlinear Numerical solutions.".
- catalog subject "Engineering mathematics.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Mechanics.".
- catalog subject "QA3 .L28 no. 1483 QA372".
- catalog title "Periodic solutions of nonlinear dynamical systems : numerical computation, stability, bifurcation, and transition to chaos / Eduard Reithmeier.".
- catalog type "text".