Fuzzy continuous dynamical system: A multivariate optimization technique

2012 ◽  
Author(s):  
Abhirup Bandyopadhyay ◽  
Samarjit Kar
Keyword(s):  
Dynamical System ◽  
Optimization Technique ◽  
Multivariate Optimization ◽  
Continuous Dynamical System ◽  
System A

scholarly journals Inverse-square law between time and amplitude for crossing tipping thresholds

2019 ◽  
Vol 475 (2222) ◽  
pp. 20180504 ◽  
Author(s):  
Paul Ritchie ◽  
Özkan Karabacak ◽  
Jan Sieber
Keyword(s):  
Dynamical System ◽  
Feedback Loop ◽  
Tipping Point ◽  
Dimensional System ◽  
Stochastic Forcing ◽  
Inverse Square Law ◽  
System A ◽  
Asymptotic Expressions ◽  
Higher Dimensional ◽  
Random Disturbances

A classical scenario for tipping is that a dynamical system experiences a slow parameter drift across a fold tipping point, caused by a run-away positive feedback loop. We study what happens if one turns around after one has crossed the threshold. We derive a simple criterion that relates how far the parameter exceeds the tipping threshold maximally and how long the parameter stays above the threshold to avoid tipping in an inverse-square law to observable properties of the dynamical system near the fold. For the case when the dynamical system is subject to stochastic forcing we give an approximation to the probability of tipping if a parameter changing in time reverses near the tipping point. The derived approximations are valid if the parameter change in time is sufficiently slow. We demonstrate for a higher-dimensional system, a model for the Indian summer monsoon, how numerically observed escape from the equilibrium converge to our asymptotic expressions. The inverse-square law between peak of the parameter forcing and the time the parameter spends above a given threshold is also visible in the level curves of equal probability when the system is subject to random disturbances.

Sampling time scheduling for a CAN-based dynamical system: A simulation practice

2015 ◽  
Author(s):  
Amira Sarayati Ahmad Dahalan ◽  
Abdul Rashid Husaint ◽  
Mohd Badril NorShah ◽  
Muhammad Iqbal Zakaria ◽  
Muhammad Nizam Kamarudin
Keyword(s):  
Dynamical System ◽  
Sampling Time ◽  
System A ◽  
Time Scheduling ◽  
Simulation Practice

scholarly journals Extending Characters of Fixed Point Algebras

Axioms ◽  
2018 ◽  
Vol 7 (4) ◽  
pp. 79
Author(s):  
Stefan Wagner
Keyword(s):  
Dynamical System ◽  
Fixed Point ◽  
Topological Group ◽  
Continuous Action ◽  
Group Of Units ◽  
System A ◽  
Fixed Point Algebra ◽  
Continuous Inverse ◽  
Locally Convex ◽  
Locally Convex Algebra

A dynamical system is a triple ( A , G , α ) consisting of a unital locally convex algebra A, a topological group G, and a group homomorphism α : G → Aut ( A ) that induces a continuous action of G on A. Furthermore, a unital locally convex algebra A is called a continuous inverse algebra, or CIA for short, if its group of units A × is open in A and the inversion map ι : A × → A × , a ↦ a − 1 is continuous at 1 A . Given a dynamical system ( A , G , α ) with a complete commutative CIA A and a compact group G, we show that each character of the corresponding fixed point algebra can be extended to a character of A.

Application of Genetic Algorithm for Nozzle Parameters Optimization of Waterjet Propulsion System

2012 ◽  
Vol 157-158 ◽  
pp. 604-607
Author(s):  
Xuan Ling ◽  
Xu Dong Wang
Keyword(s):  
Genetic Algorithm ◽  
Cfd Simulation ◽  
Simulation Analysis ◽  
Optimization Technique ◽  
Propulsion System ◽  
Parameters Optimization ◽  
Integrated Method ◽  
System A ◽  
Design Cycle ◽  
Computer Based

Waterjet propulsion system have been increasingly used in the world due to its advantage of good maneuverability, operability, less vibration etc. The full understanding of waterjet reaction thrust is the preliminary step for the design of waterjet system. A recent research in this area is optimizing the nozzle structure of waterjet propulsion system to increase the waterjet reaction thrust as much as possible. In order to obtain the optimal parameters of nozzle, a new integrated method combining genetic algorithm with CFD simulation analysis is put forward in this paper. The integrated method will not only shorten the system design cycle, it will also develop optimization technique to realize the potential of computer based design automation. Finally, the optimal results are presented and discuss.

A CONSTRUCTION FOR WEIGHTS ON C*-ALGEBRAS: DUAL WEIGHTS FOR C*-CROSSED PRODUCTS

1999 ◽  
Vol 10 (01) ◽  
pp. 129-157 ◽  
Author(s):  
J. QUAEGEBEUR ◽  
J. VERDING
Keyword(s):  
Dynamical System ◽  
Haar Measure ◽  
Crossed Product ◽  
Crossed Products ◽  
C Algebras ◽  
System A ◽  
Lower Semi ◽  
Continuous Weight ◽  
Densely Defined

A method for constructing densely defined lower semi-continuous weights on C*-algebras is presented. The method can be used to construct a "dual weight" on the C*-crossed product A×αG of a C*-dynamical system (A,G,α), starting from a relatively α-invariant densely defined lower semi-continuous weight on A. As an application we show that the Haar measure on the quantum E(2) group is a C*-dual weight.

scholarly journals Appropriate initial conditions for asymptotic descriptions of the long term evolution of dynamical systems

1989 ◽  
Vol 31 (1) ◽  
pp. 48-75 ◽  
Author(s):  
A. J. Roberts
Keyword(s):  
Dynamical System ◽  
Invariant Manifold ◽  
Initial Conditions ◽  
Long Term Evolution ◽  
Equation Model ◽  
Starting Position ◽  
System A ◽  
Term Evolution ◽  
Shear Dispersion

AbstractA centre manifold or invariant manifold description of the evolution of a dynamical system provides a simplified view of the long term evolution of the system. In this work, I describe a procedure to estimate the appropriate starting position on the manifold which best matches an initial condition off the manifold. I apply the procedure to three examples: a simple dynamical system, a five-equation model of quasi-geostrophic flow, and shear dispersion in a channel. The analysis is also relevant to determining how best to account, within the invariant manifold description, for a small forcing in the full system.

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