Dòng Nội dung
1
A survey of nonlinear dynamics : "chaos theory" / R. L. Ingraham
Singapore : World Scientific, 1992
107 pages. : illustrations ; 22 cm.
Ký hiệu phân loại (DDC): 531.113
This is a concise introduction to nonlinear dynamics (or "chaos theory"). Among the topics covered are pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. Various levels and meanings of chaos are summarized.
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2
Formation, dynamics, and statistics of patterns : Volume 2 / Kyozi Kawasaki, Masuo Suzuki
Singapore : World Scientific, 1993
vii, 350 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 530.15
Patterns are becoming the focal point of many areas of scientific endeavor in recent years owing to the progress of computer science, laboratory experiments and observations and analytical tools. This book brings together articles by the leading experts in these fields.
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3
Frequency-domain approach to Hopf bifurcation analysis : continuous time-delayed systems / Franco Sebastián Gentile, Jorge L. Moiola, G. Chen
Singapore : World Scientific, 2020
xiv, 378 pages. : illustrations ; 25 cm.
Ký hiệu phân loại (DDC): 515.352
This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations. The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed
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4
Front cover image for Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments / Liming Dai
Singapore : World Scientific, 2008
xvi, 328 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 515.35
Piecewise constant systems exist in widely expanded areas such as engineering, physics, and mathematics. Extraordinary and complex characteristics of piecewise constant systems have been reported in recent years. This book provides the methodologies for analyzing and assessing nonlinear piecewise constant systems on a theoretically and practically sound basis. Recently developed approaches for theoretically analyzing and numerically solving nonlinear piecewise constant dynamic systems are reviewed. A new greatest integer argument with a piecewise constant function is utilized for nonlinear dynamic analyses and for establishing a novel criterion in diagnosing irregular and chaotic solutions from the regular solutions of a nonlinear dynamic system. The newly established piecewise constantization methodology and its implementation in analytically solving for nonlinear dynamic problems are also presented.
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5
Integrable and superintegrable systems / Boris A. Kupershmidt
Singapore : World Scientific, 1990
388 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 515.39
A systematic presentation of the theory of integral and superintegrable dynamical systems in mathematics and theoretical physics. The author explains the conditions for a system to be integral or superintegrable, the connection with Hamiltonian mechanics, geometric symmetries, and Lie algebra.
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