Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos: 1483 (Lecture Notes in Mathematics, 1483) - Softcover
Synopsis
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.
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Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos. Lecture Notes in Mathematics, Band 1483;
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Broschiert. Condition: Gut. 171 Seiten; Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.); Schnitt und Einband sind etwas staubschmutzig; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Text in ENGLISCHER Sprache! Sprache: Englisch Gewicht in Gramm: 270. Seller Inventory # 2201827
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Periodic Solutions of Nonlinear Dynamical Systems. Numerical Computation Stability Bifurcation and Transition to Chaos.
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03160 3540545123 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2489060
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Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos (Lecture Notes in Mathematics) (Volume 1483)
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Periodic Solutions of Nonlinear Dynamical Systems : Numerical Computation, Stability, Bifurcation and Transition to Chaos
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Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos (Lecture Notes in Mathematics, 1483)
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Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos (Lecture Notes in Mathematics, 1483)
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Periodic Solutions of Nonlinear Dynamical Systems : Numerical Computation, Stability, Bifurcation and Transition to Chaos
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Periodic Solutions of Nonlinear Dynamical Systems
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 1991, 1991
ISBN 10: 3540545123
ISBN 13: 9783540545125
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 180 pp. Englisch. Seller Inventory # 9783540545125