NDLI: Nonstationary Process: Nonstationary Bifurcation Maps, Evolutionary Dynamics

Content Provider	Springer Nature Link
Author	Evan Iwawski, R. M. Lu, C. H.
Copyright Year	2000
Abstract	The study presented in this paper is one of a series of paperspublished by the authors on nonstationary problems. It addresses itselfto the characterization of the types of dynamical responses and theirranges contained in the time flow of the Duffing nonlinear,nonstationary, dissipative, forced oscillator. A new effective method –a Nonstationary Bifurcation Map (EI-Lu map) – has been introduced bythe authors that allows us to do precisely this. This new technique isby far more advantageous than the customary methods in use: the phaseportrait or Poincaré maps. The latter may give inadequate informationbecause of the overlapping dynamical responses contained within rangesof time. The main feature of nonstationary processes is that thenonstationary responses are transient. The phenomena of the transiencyare presented in detail. Significant cases are those when thenonstationary transmission of the signals crosses differentnonstationary bifurcation boundaries. This is significant because mostof dynamical-biological activities occur in the regions between orderand chaos. It characterizes nonstationary dynamical processes. Thepossibility of constructing responses for arbitrary small nonstationaryinputs may be used as nonstationary perturbations, replacing customaryperturbations of integrable Hamiltonians.
Starting Page	337
Ending Page	352
Page Count	16
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	21
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2000-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics Vibration, Dynamical Systems, Control Mechanical Engineering Automotive and Aerospace Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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