• Journal of the Korean Institute of Intelligent Systems
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• v.13 no.6
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• pp.729-736
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• 2003

In this paper, we propose that the chaotic behavior analysis in the mobile robot of embedding some chaotic such as Chua`s equation, Arnold equation with obstacle. In order to analysis of chaotic behavior in the mobile robot, we apply not only qualitative analysis such as time-series, embedding phase plane, but also quantitative analysis such as Lyapunov exponent In the mobile robot with obstacle. We consider that there are two type of obstacle, one is fixed obstacle and the other is VDP obstacle which have an unstable limit cycle. In the VDP obstacles case, we only assume that all obstacles in the chaos trajectory surface in which robot workspace has an unstable limit cycle with Van der Pol equation.

• International journal of advanced smart convergence
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• v.5 no.4
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• pp.10-14
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• 2016

Among the methods of treating tinnitus, the transcutaneous clectrical nerve stimulation (TENS) method of treating by electrical stimulation is common. However, there is a problem that surgical operation is required to stimulate the vagus nerve (VN) main trunk near most of the bronchus. Alternatively, we found that the same effect could be achieved by electrically stimulating the vagus nerve VN branch (Arnold's nerve) distributed in the outer ear. The TENS system for stimulation of vagus nerve has been developed, but it has not been able to implement to stimulate as a parameter optimized for the patient by simultaneously playing the sound of eliminating the tinnitus frequency. Therefore, in this paper, it is important to develop a safe and practical TENS device for tinnitus treatment based on a 32-bit microprocessor that simultaneously applies non-invasive and notched sounds and to develop optimal treatment methods for treating tinnitus.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.8 no.7
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• pp.1410-1417
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• 2004

In this paper, we propose that the chaotic behavior analysis in the chaotic mobile robot embedding Arnold, equation, Chua's equation and hyper-chaos equation. In order to analysis of chaotic behavior in the mobile robot, we apply not only qualitative analysis such as time-series, embedding phase plane, but also quantitative analysis such as Lyapunov exponent in the mobile robot with obstacle.

• Journal of information and communication convergence engineering
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• v.4 no.1
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• pp.28-35
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• 2006

In this paper, we propose to synchronization method for mutual cooperative control method that have unstable limit cycles in a chaos trajectory surface in the chaotic UAVs. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. We also show computer simulation results of Arnold equation, Chua's equation trajectories with one or more Van der Pol as a obstacles. We proposed and verified the results of the method to make the embedding chaotic UAV to synchronization with the chaotic trajectory in any plane.

• Journal of Microbiology and Biotechnology
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• v.7 no.2
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• pp.95-100
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• 1997

• Journal of The Korean Society of Inherited Metabolic disease
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• v.6 no.1
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• pp.1-5
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• 2006

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.8 no.1
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• pp.1-9
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• 2004

We knew attractive qualities of a rotation number for an analytic diffeomorphism, for example, Arnold tongues and staircase. Numerical computer simulation let us know easily that the pattern of rotation number of a non analytic homeomorphism is similar to its of an analytic homeomorphism for some cases. Also we define new rotation function and investigate it's properties.

• Journal of The Korean Society of Inherited Metabolic disease
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• v.1 no.1
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• pp.28-29
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• 2001

• Journal of The Korean Society of Inherited Metabolic disease
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• v.10 no.1
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• pp.47-50
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• 2010

• Bulletin of the Korean Chemical Society
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• v.25 no.8
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• pp.1238-1240
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• 2004