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Record Nr. |
UNINA9910449883803321 |
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Autore |
Awrejcewicz J (Jan) |
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Titolo |
Bifurcation and chaos in nonsmooth mechanical systems [[electronic resource] /] / Jan Awrejcewicz, Claude-Henri Lamarque |
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Pubbl/distr/stampa |
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River Edge, NJ, : World Scientific, 2003 |
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ISBN |
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1-281-87691-7 |
9786611876913 |
981-256-480-2 |
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Descrizione fisica |
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1 online resource (564 p.) |
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Collana |
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World Scientific series on nonlinear science. Series A, Monographs and treatises ; ; v. 45 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Bifurcation theory |
Chaotic behavior in systems |
Differential equations, Nonlinear |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 507-530) and index. |
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Nota di contenuto |
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Preface; Contents; Chapter 1 Introduction to Discontinuous ODEs; Chapter 2 Mathematical Background for Multivalued Formulations; Chapter 3 Numerical Schemes and Analytical Methods; Chapter 4 Properties of Numerical Schemes; Chapter 5 Bifurcations of a Particular van der Pol-Duffing Oscillator; Chapter 6 Stick-Slip Oscillator with Two Degrees of Freedom; Chapter 7 Piecewise Linear Approximations; Chapter 8 Chua's Circuit with Discontinuities; Chapter 9 Mechanical System with Impacts and Modal Approaches; Chapter 10 One DOF Mechanical System with Friction |
Chapter 11 Modelling the Dynamical Behaviour of Elasto-Plastic SystemsChapter 12 A Mechanical System with 7 DOF; Chapter 13 Stability of Singular Periodic Motions in Single Degree of Freedom Vibro-Impact Oscillators and Grazing...; Chapter 14 Triple Pendulum with Impacts; Chapter 15 Analytical Prediction of Stick-Slip Chaos; Chapter 16 Thermoelasticity, Wear and Stick-Slip Movements of a Rotating Shaft with a Rigid Bush; Chapter 17 Control for Discrete Models of Buildings Including Elastoplastic Terms; Bibliography; Index |
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Sommario/riassunto |
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This book presents the theoretical frame for studying lumped nonsmoothdynamical systems: the mathematical methods are recalled, and adaptednumerical methods are introduced (differential inclusions, maximalmonotone operators, Filippov theory, Aizerman theory, etc. |
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