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Titlebook: Discontinuity and Complexity in Nonlinear Physical Systems; J. A. Tenreiro Machado,Dumitru Baleanu,Albert C J Book 2014 Springer Internat

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发表于 2025-3-21 18:27:29 | 显示全部楼层 |阅读模式
书目名称Discontinuity and Complexity in Nonlinear Physical Systems
编辑J. A. Tenreiro Machado,Dumitru Baleanu,Albert C J
视频video
概述Provides Lie group analysis with nonlinear self-adjointess and conservation laws.Presents computational methods and control in fractional calculus.Discusses discontinuous dynamics and chaos in drillin
丛书名称Nonlinear Systems and Complexity
图书封面Titlebook: Discontinuity and Complexity in Nonlinear Physical Systems;  J. A. Tenreiro Machado,Dumitru Baleanu,Albert C J  Book 2014 Springer Internat
描述Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity analysis.  Part III examines chaos and periodic motions in discontinuous dynamical systems, extensively present in a range of systems, including piecewise linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.
出版日期Book 2014
关键词Computational Methods of Engineering; Discontinuos Dynamical Systems; Engineering Nonlinearity; Financi
版次1
doihttps://doi.org/10.1007/978-3-319-01411-1
isbn_softcover978-3-319-37534-2
isbn_ebook978-3-319-01411-1Series ISSN 2195-9994 Series E-ISSN 2196-0003
issn_series 2195-9994
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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Book 2014linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.
发表于 2025-3-22 08:28:05 | 显示全部楼层
Mathematics and the Built Environmentscence process, stabilizing a pattern which then remains in a micro-structured state or super-crystal. We show that this is the case for a modified Cahn–Hilliard dynamics due to Oono which includes a nonlocal term and which is particularly well suited to describe systems with a modulated phase.
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2195-9994 engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.978-3-319-37534-2978-3-319-01411-1Series ISSN 2195-9994 Series E-ISSN 2196-0003
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Chaos in a Piecewise Linear System with Periodic OscillationsThe paper studies a second order nonlinear differential equation whose right hand side is a piecewise linear function. It shows the coexistence of a countable set of periodic solutions and an uncountable set of bounded non-periodic solutions. The result can be also used to explain the chaos on some smooth nonlinear dynamical systems.
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Stereotactic Radiosurgery for Meningioma2, 2011) are applied to some classes of third order equations. Then, from Ibragimov’s theorem on conservation laws, conservation laws for two generalized equations of KdV type and a potential Burgers equation are established.
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