Real Bifurcation of Dynamical Systems With the Simplest Symmetry Under the Change of Control Parameters

1997 ◽  
Vol 29 (4-5) ◽  
pp. 63-79
Author(s):  
V. G. Verbitsky ◽  
Leonid G. Lobas
Keyword(s):  
Dynamical Systems ◽  
Control Parameters

A Mechanical Filter Concept to Suppress Crane Load Oscillations

1997 ◽  
Author(s):  
B. Balachandran ◽  
Y.-Y. Li
Keyword(s):  
Nonlinear Dynamics ◽  
Dynamical Systems ◽  
Control Parameters ◽  
Pivot Point ◽  
Preliminary Results ◽  
Scalar Control ◽  
Load Response ◽  
Mechanical Filter ◽  
Circular Track ◽  
Ship Roll

Abstract In this article, preliminary results obtained in the exploration of a mechanical filter concept for suppressing crane-load oscillations on a ship vessel are presented. The pivot point about which the load oscillates is constrained to follow a circular track in the considered filter. The governing dynamical systems for the cases with and without the filter are presented, and the nonlinear dynamics of these systems is studied with respect to quasi-static variation of different scalar control parameters. It is shown that the presence of the filter helps in eliminating some of the sub-critical bifurcations that may arise in the crane-load response during periodic ship-roll excitations.

Next step, synergetics?

2001 ◽  
Vol 24 (1) ◽  
pp. 66-67
Author(s):  
Wolfgang Tschacher ◽  
Ulrich M. Junghan
Keyword(s):  
Field Theory ◽  
Dynamical Systems ◽  
Systems Theory ◽  
Organization Theory ◽  
Field Model ◽  
Environmental Control ◽  
Clinical Applications ◽  
Self Organization ◽  
Control Parameters ◽  
Cognitive Problem

Thelen et al. offer an inspiring behavior-based theory of a long-standing cognitive problem. They demonstrate how joining traditions, old (the Gestaltist field theory) and new (dynamical systems theory) may open up the path towards embodied cognition. We discuss possible next steps. Self-organization theory (synergetics) could be used to address the formation of gaze/reach attractors and their optimality, given environmental control parameters. Finally, some clinical applications of the field model are advocated.

scholarly journals Closed braids and knot holders associated to some laser dynamical systems: A pump-modulated Nd-doped Â…ber laser

2017 ◽  
Vol 12 (12) ◽  
pp. 6894-6900
Author(s):  
Elsaued Elrifai
Keyword(s):  
Dynamical Systems ◽  
Fiber Laser ◽  
Crossing Number ◽  
Topological Invariants ◽  
Control Parameters ◽  
Linking Number ◽  
Fibered Knots ◽  
Braid Theory ◽  
Knots And Links

In this work the arising knots and links for the pump-modulated Nd-doped fiber laser is investigated. For the associated templates, some of their topological invariants, such as braid linking matrix, braid words, crossing number and linking number, are studied. It is recognized that the derived topological invariants are quietly dependent on the control parameters Using the tools of the braid theory, it is shown that pump-modulated Nd-doped fiber laser knots and links are positive fibered knots and links.

A Pilot Study of a Dynamical Systems Approach to Examining Changes in Static Balance of Adolescents

2002 ◽  
Vol 95 (1) ◽  
pp. 267-278 ◽  
Author(s):  
Jason Wicke ◽  
Robert Jensen
Keyword(s):  
Pilot Study ◽  
Dynamical Systems ◽  
Control Parameter ◽  
Systems Approach ◽  
The Body ◽  
Static Balance ◽  
Control Parameters ◽  
Systems Model ◽  
Balance Task ◽  
The Stability

In a dynamical systems model, movement patterns are dictated by several variables, called control parameters. The goal of this pilot study was to assess whether changes on a static balance task can be described by a dynamical systems model with body inertial properties as one of the potential control parameters. Three aspects of a dynamic system were examined in relation to a 2-ft. static balance task: a relation between the changes in the balance pattern and the control parameter, a relation between the stability of the balance pattern and the stability under perturbed conditions (1-ft. balance task), and during the perturbation lack of relation between the balance pattern and the control parameters. Nine adolescent boys, 15.3 ± 1.0 yr. old were examined twice over a 14-wk. period. During each testing session, participants' body mass, moments of inertia, and radius from the ankle to the center of mass were calculated, after which 1- and 2-ft. balance tasks were performed. Center of pressure coordinates were recorded using a Kistler force plate. The body parameters were used to calculate the natural frequency of the body to represent the control parameter. Significant relations among all three aspects of a dynamic system examined in both the lateral and anterior-posterior axes were found. This investigation was designed for exploratory purposes and limited to correlational analysis; therefore, no concrete conclusions could be drawn. The results, however, suggest a dynamical systems approach to the study of static balance patterns may be possible.

A Novel Fixed Point Feedback Approach Studying the Dynamical Behaviors of Standard Logistic Map

2019 ◽  
Vol 29 (01) ◽  
pp. 1950010 ◽  
Author(s):  
Ashish ◽  
Jinde Cao
Keyword(s):  
Fixed Point ◽  
Dynamical Systems ◽  
Traffic Control ◽  
Logistic Map ◽  
Secure Communications ◽  
Iterative Technique ◽  
Control Parameters ◽  
Dynamical Behaviors ◽  
One Step ◽  
Dynamical Properties

The standard logistic map is one of the oldest and simplest systems which has found a celebrated place in the dynamical systems and in different vital applications of science like image encryption in cryptography, secure communications and traffic control models. Generally, the dynamical systems are characterized by one or more control parameters that determine the dynamical behaviors of the system. Traditionally, the discrete logistic map allows only one parameter [Formula: see text] to determine its complete behavior. This study takes one step forward, using the superior fixed point iterative technique to study the dynamical properties of the discrete logistic map. The proposed technique provides an extra degree of freedom on control parameters that renders superior dynamical properties and may increase the performance of many applications. Analytical analysis as well as numerical simulations are presented to show the effectiveness, flexibility and efficiency of new method.

Control parameters, equilibria, and coordination dynamics

1995 ◽  
Vol 18 (4) ◽  
pp. 780-780 ◽  
Author(s):  
Dagmar Sternad ◽  
M. T. Turvey
Keyword(s):  
Dynamical Systems ◽  
Systems Approach ◽  
Order Parameters ◽  
Coordination Dynamics ◽  
Control Parameters ◽  
Specific Behavior ◽  
Key Concepts ◽  
Functional Task

AbstractImportant similarities exist between the dynamical concepts implicit in Feldman & Levin's extended λ model and those basic to a dynamical systems approach. We argue that careful application of the key concepts of control and order parameters, equilibria, and stability, can relate known facts of neuromuscular processes to the observables of functional, task-specific behavior.

Methods for Restricting Maximum Exposure Rate in Computerized Adaptative Testing

Methodology ◽  
2007 ◽  
Vol 3 (1) ◽  
pp. 14-23 ◽  
Author(s):  
Juan Ramon Barrada ◽  
Julio Olea ◽  
Vicente Ponsoda
Keyword(s):  
Measurement Accuracy ◽  
Computerized Adaptive Testing ◽  
Computation Time ◽  
Adaptive Testing ◽  
Exposure Rate ◽  
Control Parameters ◽  
The Impact ◽  
Two Alternatives ◽  
Selection Of ◽  
Maximum Exposure

Abstract. The Sympson-Hetter (1985) method provides a means of controlling maximum exposure rate of items in Computerized Adaptive Testing. Through a series of simulations, control parameters are set that mark the probability of administration of an item on being selected. This method presents two main problems: it requires a long computation time for calculating the parameters and the maximum exposure rate is slightly above the fixed limit. Van der Linden (2003) presented two alternatives which appear to solve both of the problems. The impact of these methods in the measurement accuracy has not been tested yet. We show how these methods over-restrict the exposure of some highly discriminating items and, thus, the accuracy is decreased. It also shown that, when the desired maximum exposure rate is near the minimum possible value, these methods offer an empirical maximum exposure rate clearly above the goal. A new method, based on the initial estimation of the probability of administration and the probability of selection of the items with the restricted method ( Revuelta & Ponsoda, 1998 ), is presented in this paper. It can be used with the Sympson-Hetter method and with the two van der Linden's methods. This option, when used with Sympson-Hetter, speeds the convergence of the control parameters without decreasing the accuracy.

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