Description: 1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems by Albert C.J. Luo The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. FORMAT Hardcover CONDITION Brand New Publisher Description This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. The singular parabola and inflection flows are the appearing and switching bifurcations for simple parabola arrays and also for lower-order singular parabola and inflection flow arrays. The infinite-equilibriums in single-variable polynomial systems are also discussed, which are the appearing and switching bifurcations of hybrid arrays of source, sink, and saddle flows with parabola and inflections. This book helps readers understand the global dynamics of planar polynomial systems and the Hilbert sixteen problem. Author Biography Prof. Albert C. J. Luo is a distinguished research professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on nonlinear dynamics, nonlinear mechanics, and nonlinear differential equations. He has published over 50 monographs, 20 edited books and more than 400 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He was an editor for Communications in Nonlinear Science and Numerical Simulation for 14 years, and an associate editor for ASME Journal of Computational and Nonlinear Dynamics, and International Journal of Bifurcation and Chaos. He now serves as a co-editor of the Journal of Applied Nonlinear Dynamics and editor of various book series, including "Nonlinear Systems and Complexity" and "Nonlinear Physical Science". Table of Contents Constant and Self variable Polynomial Systems.- Constant and Crossing variable Polynomial Systems.- Single univariate Polynomial Systems.- Higher order Infinite equilibrium Bifurcations. Details ISBN9819722039 Author Albert C.J. Luo Publisher Springer Verlag, Singapore ISBN-13 9789819722037 Format Hardcover Imprint Springer Nature Country of Publication Singapore Alternative 9789819722068 Audience Professional & Vocational Edition Description 2024 ed. Edition 2024th Year 2025 Pages 377 Publication Date 2025-01-04 Illustrations 48 Illustrations, color; 1 Illustrations, black and white; VII, 377 p. 49 illus., 48 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:169004434;
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Format: Hardcover
ISBN-13: 9789819722037
Author: Albert C.J. Luo
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Book Title: 1-dimensional Flow Arrays and Bifurcations in Planar Polynomial S
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