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Bifurcation and chaos in complex systems /
Presents the achievements on bifurcation studies of nonlinear dynamical systems. This book deals with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and deterministic,...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier,
2006.
|
| Colección: | Edited series on advances in nonlinear science and complexity ;
v. 1. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 245 | 0 | 0 | |a Bifurcation and chaos in complex systems / |c edited by Jian-Qiao Sun, Albert C.J. Luo. |
| 260 | |a Amsterdam : |b Elsevier, |c 2006. | ||
| 300 | |a 1 online resource (xii, 388 pages) : |b illustrations (1 color). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Edited series on advances in nonlinear science and complexity, |x 1574-6909 ; |v v. 1 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a Cover Dedication Preface Contents Bifurcation, Limit Cycle and Chaos of Nonlinear Dynamical Systems -- Introduction -- Bifurcation of limit cycles -- -- Lifting 2-D model with delayed feedback control -- -- Internet congestion model -- -- Hilbert's 16th problem -- Bifurcation control and chaos synchronization -- -- Global ultimate boundedness of chaotic systems -- -- Hopf bifurcation control -- -- Tracking and chaos synchronization -- Competitive modes -- -- Definition of CM -- -- Application of CM: estimating chaotic parameter regimes -- -- Application of CM: constructing new chaotic systems -- Conclusions -- Acknowledgement -- References Grazing Flows in Discontinuous Dynamic Systems -- Introduction -- Domain accessibility -- Discontinuous dynamic systems -- Oriented boundary and singular sets -- Local singularity and grazing flows -- Piecewise linear systems -- Friction-induced oscillators -- Conclusions -- Appendix -- References Global Bifurcations of Complex Nonlinear Dynamical Systems with Cell Mapping Methods -- Introduction -- Cell mapping methods -- -- Simple cell mapping -- -- Generalized cell mapping -- Crises in deterministic systems -- -- A chaotic boundary crisis -- -- Chaotic boundary and interior crises -- -- Wada fractal boundary and indeterminate crisis -- -- Double crises -- Bifurcations of nonlinear systems with small random disturbances -- -- Logistic map with random coefficients -- -- A two-dimensional random map -- -- Duffing oscillator with small random excitations -- -- Noisy crisis in a twin-well Duffing system -- Fuzzy bifurcations -- -- Fuzzy generalized cell mapping -- -- Bifurcation of one-dimensional fuzzy systems -- -- Bifurcation of fuzzy nonlinear oscillators -- -- Conjectures -- Effect of bifurcation on semiactive optimal controls -- -- Optimal control problem -- -- Saddle-node bifurcation -- -- Supercritical Pitchfork bifurcation -- -- Subcritical Hopf bifurcation -- References Bifurcation Analysis of Nonlinear Dynamic Systems with Time-Periodic Coefficients -- Introduction -- Formulation of the problem -- Local stability and conditions for bifurcations: Floqu�et theory -- Lyapunov-Floqu�et transformation -- Nonlinear analysis -- -- Time-periodic center manifold reduction -- -- Time-dependent normal form theory -- -- Versal deformation of the normal form -- -- Solution in the original (physical) variables -- The codimension one bifurcations -- -- Flip bifurcation -- -- Transcritical and symmetry breaking bifurcations -- -- Cyclic fold bifurcation -- -- Secondary Hopf bifurcation -- Applications -- -- A system with an exact solution: an example of the flip bifurcation -- -- A system with a small parameter: a comparison with averaging method -- -- A simple pendulum with periodic base excitation: an example of the symmetry breaking bifurcation -- -- An example of the secondary Hopf bifurcation: a double inverted pendulum with a periodic follower load -- Summary and conclusions -- References Modal Interactionsmodal interactions in Asymmetric Vibrations of Circular Platescircular plates -- Introduction -- Governing equations -- Solution -- Steady-state responses and numerical examples -- -- The plate without elastic foundation (K = 0): the case of no internal resonance -- -- The plate on elastic foundation (K> 0): the case of internal resonance (omegaNM 3?CD, where N = 3C) -- -- The plate on elastic foundation (K> 0): the case of internal resonance (?NM 3?CD, where N = C) -- Appendix A -- Appendix B -- -- Case 1:?32 3?11 and??11 -- -- Case 2:?32 3?11 and??32 -- Appendix C -- References List of Contributors Author Index Subject Index Last Page. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Presents the achievements on bifurcation studies of nonlinear dynamical systems. This book deals with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and deterministic, nonlinear dynamical systems. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Bifurcation theory. | |
| 650 | 0 | |a Chaotic behavior in systems. | |
| 650 | 0 | |a Nonlinear systems. | |
| 650 | 6 | |a Th�eorie de la bifurcation. |0 (CaQQLa)201-0027940 | |
| 650 | 6 | |a Chaos. |0 (CaQQLa)201-0128834 | |
| 650 | 6 | |a Syst�emes non lin�eaires. |0 (CaQQLa)201-0282086 | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Bifurcation theory |2 fast |0 (OCoLC)fst00831564 | |
| 650 | 7 | |a Chaotic behavior in systems |2 fast |0 (OCoLC)fst00852171 | |
| 650 | 7 | |a Nonlinear systems |2 fast |0 (OCoLC)fst01038810 | |
| 700 | 1 | |a Sun, Jian-Qiao. | |
| 700 | 1 | |a Luo, Albert C. J. | |
| 776 | 0 | 8 | |i Print version: |t Bifurcation and chaos in complex systems. |d Amsterdam : Elsevier, 2006 |z 0444522298 |w (OCoLC)74270552 |
| 830 | 0 | |a Edited series on advances in nonlinear science and complexity ; |v v. 1. |x 1574-6909 | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444522290 |z Texto completo |
| 856 | 4 | |u https://sciencedirect.uam.elogim.com/science/bookseries/15746909/1 |z Texto completo | |