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A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems From Nonlinear Dynamics to Complex Systems: Introduction

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems : From Nonlinear... [Nonlinear dynamics is about systems whose dynamics is ruled by nonlinear algebraic or nonlinear differential equations. In regard to their physical behavior, the relationships between changes in their inputs and the resultant behavior in their outputs are not proportional to one another. This behavior characterizes them as nonlinear systems. A nonlinear system may present chaotic dynamics if its dynamics is on average exponentially sensitive to changes in its initial condition [1]. In this case, although generated by a deterministic system, a chaotic trajectory appears to be complicated and even resembles having random behavior.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems From Nonlinear Dynamics to Complex Systems: Introduction

Part of the Nonlinear Systems and Complexity Book Series (volume 22)
Editors: Macau, Elbert E. N.

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References (12)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing AG, part of Springer Nature 2019
ISBN
978-3-319-78511-0
Pages
1 –5
DOI
10.1007/978-3-319-78512-7_1
Publisher site
See Chapter on Publisher Site

Abstract

[Nonlinear dynamics is about systems whose dynamics is ruled by nonlinear algebraic or nonlinear differential equations. In regard to their physical behavior, the relationships between changes in their inputs and the resultant behavior in their outputs are not proportional to one another. This behavior characterizes them as nonlinear systems. A nonlinear system may present chaotic dynamics if its dynamics is on average exponentially sensitive to changes in its initial condition [1]. In this case, although generated by a deterministic system, a chaotic trajectory appears to be complicated and even resembles having random behavior.]

Published: Jun 15, 2018

Keywords: Boundary Crisis; Flow System Studies; Message Authentication Method; Coherent Collective Motion; Transient Chaos

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