Influence of changes in initial conditions for the simulation of dynamic systems

2015 ◽  
Author(s):  
Martin Kotyrba
Keyword(s):  
Dynamic Systems ◽  
Initial Conditions

Motion Planning for Dynamic Systems Using First-Order Logic

2002 ◽  
Author(s):  
Lei Yan ◽  
K. Krishnamurthy
Keyword(s):  
Motion Planning ◽  
Dynamic Systems ◽  
Initial Conditions ◽  
Search Space ◽  
Order Logic ◽  
First Order Logic ◽  
Knowledge Representation And Reasoning ◽  
Know How ◽  
First Order ◽  
Knowledge Based

The problem of motion planning for a class of dynamic systems is considered in this study. A knowledge-based approach is used to determine the initial conditions that will yield a certain desired state of the dynamic system. The search space is limited by using a set of rules because reasoning about dynamic systems is basically searching an infinite space. In this study, first-order logic is used for knowledge representation and reasoning. The methodology is applied to playing a pool game. The dynamics of the motion of the balls are complicated and significant expertise is required to know how to strike the balls. Simulated results presented show how the rules help in finding the appropriate strategies for playing the game.

STABILITY OF FUZZY DYNAMIC SYSTEMS

2009 ◽  
Vol 17 (01) ◽  
pp. 69-83 ◽  
Author(s):  
MARINA TUYAKO MIZUKOSHI ◽  
LAÉCIO CARVALHO BARROS ◽  
RODNEY CARLOS BASSANEZI
Keyword(s):  
Fuzzy Sets ◽  
Dynamic Systems ◽  
Initial Value Problem ◽  
Initial Conditions ◽  
Flow Equation ◽  
Equilibrium Stability ◽  
Initial Value ◽  
Flow Through

In this work we are study the Fuzzy Initial Value Problem (FIVP) with parameters and/or initial conditions given by fuzzy sets. Starting from the flow equation of the deterministic Initial Value Problem (IVP) associates to FIVP, we obtain the FIVP flow, through the principle of Zadeh. Follow, we introduce the concept of fuzzy equilibrium stability of FIVP and some examples are given.

Symposium: Dynamic systems/Complexity theory as a new approach to second language development

2012 ◽  
Vol 45 (4) ◽  
pp. 533-534 ◽  
Author(s):  
Marjolijn Verspoor
Keyword(s):  
Language Development ◽  
Complexity Theory ◽  
Dynamic Systems ◽  
Developmental Process ◽  
Initial Conditions ◽  
New Approach ◽  
Second Language Development ◽  
16Th World ◽  
Basic Characteristics ◽  
Over Time

Presented at the 16th World Congress of Applied Linguistics (AILA), Beijing Foreign Studies University, China, 24 August 2011.The goal of the symposium was to show that a Dynamic systems/Complexity theory (DST) perspective will provide important insights into the L2 developmental process. Kees de Bot (University of Groningen) introduced the symposium by outlining the basic characteristics of a dynamic system: all factors or variables involved in language development are interconnected, interact with each other over time, and affect each other differently over time on different time scales. Initial conditions such as the learner's L1, motivation or level of proficiency are crucial and systems self-organize over time. Development is not linear and learners are not all the same, so variability and variation are the norm.

Computational Approaches to the Min-Max Response of Dynamic Systems With Incompletely Prescribed Input Functions

1967 ◽  
Vol 34 (1) ◽  
pp. 87-90 ◽  
Author(s):  
Eugene Sevin ◽  
Walter Pilkey
Keyword(s):  
Dynamic Systems ◽  
Initial Conditions ◽  
Restoring Force ◽  
Maximum Displacement ◽  
Single Degree Of Freedom ◽  
Load Duration ◽  
Analytical Technique ◽  
Single Degree ◽  
Forcing Function ◽  
Total Impulse

Linear, nonlinear, and dynamic programming formulations are developed for the solution of the min-max response of a single-degree-of-freedom dynamic system with incompletely prescribed input functions. The problem is: Given an oscillator whose equation of motion is mx¨ + g(x, x˙) = f(t), subject to stated initial conditions, and acted upon by a forcing function, f(t), which is nonnegative, and of specified finite duration and total impulse, find the particular forces which produce the least possible maximum displacement of the oscillator, and find this bounding value. Previously, Sevin developed an analytical technique for the solution which is inherently dependent upon a linear undamped form for the restoring force g(x, x˙). In the current work, an alternate statement of the problem is presented which lends itself to tractable computational formulations involving less stringent restrictions on g(x, x˙). Results obtained by dynamic and linear programming for specified forms of g(x, x˙) are given as functions of load duration.

scholarly journals An FFT-Based Spectral Analysis Method for Linear Discrete Dynamic Systems with Non-Proportional Damping

2006 ◽  
Vol 13 (6) ◽  
pp. 595-606 ◽  
Author(s):  
Jooyong Cho ◽  
Usik Lee
Keyword(s):  
Spectral Analysis ◽  
Dynamic Systems ◽  
Forced Vibration ◽  
Fourier Transforms ◽  
Initial Conditions ◽  
Analysis Method ◽  
Discrete Dynamic ◽  
Vibration Responses ◽  
Spectral Analysis Method ◽  
Discrete Dynamic Systems

This paper proposes a fast Fourier transforms (FFT)-based spectral analysis method for the dynamic analysis of linear discrete dynamic systems which have non-proportional viscous damping and are subjected to non-zero initial conditions. To evaluate the proposed FFT-based spectral analysis method, the forced vibration of a three degree-of-freedom (DOF) system is considered as an illustrative problem. The accuracy of the proposed FFT-based spectral analysis method is evaluated by comparing the forced vibration responses obtained by the present FFT-based spectral analysis method with those obtained by using the well-known Runge-Kutta method and modal analysis method.

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