DISCONTINUITY AND COMPLEXITY IN NONLINEAR PHYSICAL SYSTEMS (HB 2014)

MACHADO

ISBN 10: 3319014102 / ISBN 13: 9783319014104

Published by SPRINGER, 2014

About this Item

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Bibliographic Details

• Title: DISCONTINUITY AND COMPLEXITY IN NONLINEAR PHYSICAL SYSTEMS (HB 2014)
• Publisher: SPRINGER
• Publication Date: 2014
• Language: English
• ISBN 10: 3319014102
• ISBN 13: 9783319014104
• Binding: Hardcover
• Edition: International Edition
• Condition: New

About this title

Synopsis

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.

About the Author

José António Tenreiro Machado is Professor, Institute of Engineering, Polytechnic of Porto, Portugal; Dumitru Baleanu is Professor, Department of Mathematics and Computer SciencesCankaya University, Turkey;  Albert Luo is Professor of Mechanical ngineering, Southern Illinois University/Edwardsville, USA