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System Dynamics with Interaction Discontinuity de Albert C. J. Luo

System Dynamics with Interaction Discontinuity: Nonlinear Systems and Complexity, cartea 13

Autor Albert C. J. Luo, Dennis M. O'Connor
en Limba Engleză Hardback – 21 iul 2015
This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at the boundary in discontinuous dynamical systems. Based on such a theory, the authors address dynamics and motion mechanism of engineering discontinuous systems due to interaction. Stability and bifurcations of fixed points in nonlinear discrete dynamical systems are presented, and mapping dynamics are developed for analytical predictions of periodic motions in engineering discontinuous dynamical systems. Ultimately, the book provides an alternative way to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.
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Specificații

ISBN-13: 9783319174211
ISBN-10: 3319174215
Pagini: 268
Ilustrații: X, 257 p. 88 illus., 48 illus. in color.
Dimensiuni: 160 x 241 x 21 mm
Greutate: 0.52 kg
Ediția:1st ed. 2015
Editura: Springer
Colecția Nonlinear Systems and Complexity
Seria Nonlinear Systems and Complexity

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

1. Introduction.- 2. System Discontinuity and Switchability.- 3. A Theory for Flow Passability.- 4. Dynamical System Interaction.- 5. A Gear Transmission System.- 6. A Freight Train Suspension System.- Appendices.

Textul de pe ultima copertă

This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at the boundary in discontinuous dynamical systems. Based on such a theory, the authors address dynamics and motion mechanism of engineering discontinuous systems due to interaction. Stability and bifurcations of fixed points in nonlinear discrete dynamical systems are presented, and mapping dynamics are developed for analytical predictions of periodic motions in engineering discontinuous dynamical systems. Ultimately, the book provides an alternative way to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Caracteristici

Introduces readers to system dynamics of interaction discontinuity, which clarifies a dynamics description of engineering systems to more closely resemble practical engineering, rather than the traditional smoothening of discontinuity Presents mapping dynamics for analytical predictions of periodic motions in engineering discontinuous dynamical systems Illustrates complex motions in engineering systems that mainly originate from interaction discontinuity and provide a systematical description, analysis and design for engineering

Notă biografică

This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.