• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.103-108
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• 2015

In this paper we prove that $C^1$-generically, if a diffeomorphism f on a closed $C^{\infty}$ manifold M satisfies weak specification on a locally maximal set ${\Lambda}{\subset}M$ then ${\Lambda}$ is hyperbolic for f. As a corollary we obtain that $C^1$-generically, every diffeomorphism with weak specification is Anosov.

• Bulletin of the Korean Chemical Society
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• v.24 no.8
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• pp.1107-1110
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• 2003

Valuable insight into the nonlinear dynamics of a system can be gleaned from its response to a single intense short pulse. We derive expressions for the corresponding nonlinear response functions and show that the fluctuation-dissipation theorem may be extended beyond the linear response limit to an arbitrary pulse intensity. As an illustrative example, we calculate response functions up to 11th order for the regular Lorentz gas in two dimensions.

• Journal of the Korean Mathematical Society
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• v.54 no.1
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• pp.87-99
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• 2017

To indicate the statistical complexity of dynamical systems, we introduce the notions of higher order irregular set and higher order maximal Birkhoff average oscillation in this paper. We prove that, in the setting of topologically mixing Markov chain, the set consisting of those points having maximal k-order Birkhoff average oscillation for all positive integers k is as large as the whole space from the topological point of view. As applications, we discuss the corresponding results on a repeller.

• Communications of the Korean Mathematical Society
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• v.11 no.3
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• pp.681-694
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• 1996

Let F be a germ of analytic transformation from $(C^2, O)$ to $C^2, O)$. Let a, b denote the eigenvalues of DF(O). O is called a semi-attrative fixed point if $$\mid$a$\mid$ = 1, 0 < $\mid$b$\mid$ < 1 = 1, 0 < $\mid$a$\mid$ < 1)$. O is called a super-attractive fixed point if a = 0, b = 0. We discuss such a mapping from the point of view of dynamical systems.

• Korean Journal of Mathematics
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• v.24 no.3
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• pp.447-467
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• 2016

We prove the existence of random attractors for the continuous random dynamical systems generated by stochastic damped plate equations with linear memory and additive white noise when the nonlinearity has a critically growing exponent.

• Kyungpook Mathematical Journal
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• v.49 no.1
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• pp.81-93
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• 2009

Bifurcation method of dynamical systems is employed to investigate exact solitary wave solutions and kink wave solutions in the generalized modified Boussinesq equation. Under some parameter conditions, their explicit expressions are obtained. Some previous results are extended.

• 제어로봇시스템학회:학술대회논문집
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• 1993.10a
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• pp.264-269
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• 1993

In this paper, we develop the basic robot commands on the level of VAL robot language and the integrated environment software of the robot management system to give users an easy way of programming and running the robot. The developed software is designed to support Korean language and to be run by the pop-up menus for programming commands and inputs. Geometrical and dynamical features can be viewed on a computer monitor by graphics and the taught works can be interfaced with a computer and controllers.

• 제어로봇시스템학회:학술대회논문집
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• 2001.10a
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• pp.26.1-26
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• 2001

In this paper, we will expand and generalize the orthogonal functions as basis functions for dynamical system representations. The orthogonal functions can be considered as generalizations of, for example, the pulse functions, Laguerre functions, and Kautz functions, and give rise to an alternative series expansion of rational transfer functions. It is shown row we can exploit these generalized basis functions to increase the speed of convergence in a series expansion. The set of Kautz functions is discussed in detail and, using the power-series equivalence, the truncation error is obtained. And so we will present the influence of noises to use Kautz function on the identification accuracy.

• 제어로봇시스템학회:학술대회논문집
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• 1989.10a
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• pp.663-668
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• 1989

Control methods to achieve efficient and accurate deburring robots are proposed. For efficiency, cutting speed is controlled adoptively with the cutting load. For accuracy, it adopts repetitive control. Since usual repetitive control cannot afford dynamical speed changes, the proposed method controls in an interpolating manner using several waveforms stored in the controller. Successful experimental results axe shown.

• 제어로봇시스템학회:학술대회논문집
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• 1989.10a
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• pp.755-759
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• 1989

This paper considers an active vibration control system based on pole placement incorporating the internal model principle when the system is subjected to disturbances which are generated by a linear dynamical system. Experimental results are presented which show the effectiveness of the method when the system is excited by a sine wave disturbance and system parameters are knwon. An adaptive control design is also discussed.