Periodic Motions to Chaos in a Spring-Pendulum System, Guo
Автор: Zudin Y.B. Название: Theory of Periodic Conjugate Heat Transfer ISBN: 3031251660 ISBN-13(EAN): 9783031251665 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An original method of investigation of the conjugate conductive-convective problem of periodic heat transfer is developed. The novelty of the approach is that a particular conjugate problem is replaced by a general boundary-value problem for the heat conduction equation in the solid. Within the framework of the hyperbolic model of thermal conductivity, the effect of self-reinforcement of the degree of conjugation by increasing the period of oscillations is found. The processes of hydrodynamics and heat exchange with periodic internal structure are considered: periodic model of turbulent heat transfer, hydrodynamic instability, bubbles dynamics in liquid, and model of evaporating meniscus. The book is intended as a source and reference work for researchers and graduate students interested in the field of conjugate heat transfer.
Автор: Yu Guo, Albert C.J. Luo Название: Bifurcation Dynamics of a Damped Parametric Pendulum ISBN: 1681736861 ISBN-13(EAN): 9781681736860 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 8593.00 р. Наличие на складе: Нет в наличии.
Описание: The inherent complex dynamics of a parametrically excited pendulum is of great interest in nonlinear dynamics, which can help one better understand the complex world.
Even though the parametrically excited pendulum is one of the simplest nonlinear systems, until now, complex motions in such a parametric pendulum cannot be achieved. In this book, the bifurcation dynamics of periodic motions to chaos in a damped, parametrically excited pendulum is discussed. Complete bifurcation trees of periodic motions to chaos in the parametrically excited pendulum include:
period-1 motion (static equilibriums) to chaos, and
The aforesaid bifurcation trees of periodic motions to chaos coexist in the same parameter ranges, which are very difficult to determine through traditional analysis. Harmonic frequency-amplitude characteristics of such bifurcation trees are also presented to show motion complexity and nonlinearity in such a parametrically excited pendulum system. The non-travelable and travelable periodic motions on the bifurcation trees are discovered. Through the bifurcation trees of travelable and non-travelable periodic motions, the travelable and non-travelable chaos in the parametrically excited pendulum can be achieved. Based on the traditional analysis, one cannot achieve the adequate solutions presented herein for periodic motions to chaos in the parametrically excited pendulum. The results in this book may cause one rethinking how to determine motion complexity in nonlinear dynamical systems.
Автор: Zudin Yuri B. Название: Theory of Periodic Conjugate Heat Transfer ISBN: 3662571390 ISBN-13(EAN): 9783662571392 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the theory of periodic conjugate heat transfer in detail. It offers a simplified description of the interaction between a solid body and a fluid as a boundary value problem of the heat conduction equation for the solid body.
Автор: Afraimovich Valentin, Machado Josй Antуnio Tenreiro, Zhang Jiazhong Название: Complex Motions and Chaos in Nonlinear Systems ISBN: 3319804189 ISBN-13(EAN): 9783319804187 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Detection of the Quasi-Periodic Processes in Experimental Measurements: Reduction to an Ideal Experiment.- Functional Differential Equations with Piecewise Constant Argument.- Singular Phenomena in Aerodynamics and the Bifurcation Analysis.- Plasma Flow Control: Progress and Problems.- Steady State Solution for a Rayleigh's Piston in a Temperature Gradient.- An Inspiration to Craft Networks Which Can Achieve Chaotic States.- Finite Element Simulations of the Nonlinear Fluid-Membrane Interactions Using a Modified Characteristic-Based Split (CBS) Scheme.- Modelling and Predicting Chaos in Local Area Network Traffic.- Centrifugal Compressor Blade Crack Classification by Using Squared Envelope and Experimental Verification.- Numerical Methods on Model Reduction and Lagrangian Coherent Structure in Fluid Dynamics.- Numerical Method for Analysis of Nonlinear Fluid-structure Coupling Effects on the Aerodynamic Performance of Airfoil at Low Reynolds Number.- On periodic motions in a time-delayed, quadratic nonlinear oscillator with periodic excitation.
Автор: Wanda Szemplinska-Stupnicka; Gerard Iooss; Francis Название: Chaotic Motions in Nonlinear Dynamical Systems ISBN: 3211820620 ISBN-13(EAN): 9783211820629 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. This book presents both viewpoints: that of the analyst and of the experimenter.
Автор: Miklos Farkas Название: Periodic Motions ISBN: 1441928383 ISBN-13(EAN): 9781441928382 Издательство: Springer Рейтинг: Цена: 11313.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "The task is done; the Maker rests. And lo The engine turns. A million years shall flow, Ere round its axle shall the wheel run slow And a new cog be needed .... " Mad8.ch: The Tragedy of Man J.C.W. Horne's translation In this book I tried to sum up the facts and results I considered most important concerning periodic solutions of ordinary differential equations (ODEs) produced by this century from Henri Poincare up to the youngest mathematician appearing in the list of references. I have included also some results of my own that did not find their way into monographs in the past. I have done research in this direction for more than 25 years and have given graduate courses about some of the topics covered for many years at the Budapest University of Technology and also at the Universidad Central de Venezuela in Caracas. I hope that people interested in differential equations and applications may use this experience. Some may say that periodic solutions of ODEs has been a closed chapter of mathematics for some time.
Автор: Eduard Reithmeier Название: Periodic Solutions of Nonlinear Dynamical Systems ISBN: 3540545123 ISBN-13(EAN): 9783540545125 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addressing mathematicians and engineers working with nonlinear dynamics, this monograph describes the multiple shooting method, which is employed in numerically computing limit cycles. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations.
Автор: Hendrik W. Broer; George B. Huitema; Mikhail B. Se Название: Quasi-Periodic Motions in Families of Dynamical Systems ISBN: 3540620257 ISBN-13(EAN): 9783540620259 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. On the one hand, Hamiltonian systems occur that are in complete order: these are the integrable systems where all motion is confined to invariant tori.
Автор: Luo Название: Periodic Flows to Chaos in Time-delay Systems ISBN: 331942663X ISBN-13(EAN): 9783319426631 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems.
Описание: Periodic structures are ubiquitous not only in engineering but also in physical and life sciences. This volume presents fundamental concepts and state-of-the-art techniques in the analysis of mistuned vibration, with useful information for professionals in aerospace and mechanical engineering, physics, nanotechnology, and other disciplines.
Автор: Sab Karam, Leb?e Arthur Название: Homogeneization and Periodic Structures ISBN: 1848216521 ISBN-13(EAN): 9781848216525 Издательство: Wiley Рейтинг: Цена: 22010.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book gives new insight on plate models in the linear elasticity framework tacking into account heterogeneities and thickness effects. It is targeted to graduate students how want to discover plate models but deals also with latest developments on higher order models. Plates models are both an ancient matter and a still active field of research. First attempts date back to the beginning of the 19th century with Sophie Germain. Very efficient models have been suggested for homogeneous and isotropic plates by Love (1888) for thin plates and Reissner (1945) for thick plates. However, the extension of such models to more general situations --such as laminated plates with highly anisotropic layers-- and periodic plates --such as honeycomb sandwich panels-- raised a number of difficulties. An extremely wide literature is accessible on these questions, from very simplistic approaches, which are very limited, to extremely elaborated mathematical theories, which might refrain the beginner. Starting from continuum mechanics concepts, this book introduces plate models of progressive complexity and tackles rigorously the influence of the thickness of the plate and of the heterogeneity. It provides also latest research results. The major part of the book deals with a new theory which is the extension to general situations of the well established Reissner-Mindlin theory. These results are completely new and give a new insight to some aspects of plate theories which were controversial till recently.
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