• Title/Summary/Keyword: Van der Pol Equation

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The Collision Avoidance Method in the Chaotic Robot with Hyperchaos Path

  • Youngchul Bae;Kim, Juwan;Park, Namsup
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.10a
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    • pp.584-588
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    • 2003
  • In this paper, we propose a method to avoid obstacles that have unstable limit cycles in a Hyperchaos trajectory surface. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. When a chaos robot meets an obstacle in a hyper-chaos equation trajectory, the obstacle reflects the robot. We also show computer simulation result of hyperchaos equation trajectories with one or more Van der Pol obstacles.

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A Obstacle Avoidance in the Chaotic Robot for Ubiquitous Environment

  • Bae, Young-Chul
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2005.11a
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    • pp.197-204
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    • 2005
  • In this paper, we propose a method to an obstacle avoidance of chaotic robots that have unstable limit cycles in a chaos trajectory surface in the ubiquitous environment. 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 Chua's equation, Lorenz equation, Hamilton and Hyper-chaos equation trajectories with one or more Van der Pol as an obstacles. We proposed and verified the results of the method to make the embedding chaotic mobile robot to avoid with the chaotic trajectory in any plane.

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The obstacle collision avoidance methods in the chaotic mobile robots

  • Youngchul Bae;Kim, Juwan;Kim, Yigon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.591-594
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    • 2003
  • In this paper, we propose a method to avoidance obstacle in which we assume that obstacle has an unstable limit cycle in the chaos trajectory surface. In order to avoid the obstacle, we assume that all obstacles in the chaos trajectory surface in which has an unstable limit cycle with Van der Pol equation. In this paper show also that computer simulation results are satisfy to avoid obstacle in the chaos trajectory with Chua's circuit equation of one or multi obstacle has an limit cycle with Van der Pol (VDP) efuation and compare to rate of cover in one robot which have random walk and Chua's equation.

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The Analysis of Chaotic Behavior in the Chaotic Robot with Hyperchaos Path of Van der Pol(VDP) Obstacle

  • Youngchul Bae;Kim, Juwan;Park, Namsup
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.10a
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    • pp.589-593
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    • 2003
  • In this paper, we propose that the chaotic behavior analysis in the mobile robot of embedding Chua's 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. In the obstacle, 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.

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The Synchronization Method for Cooperative Control of Chaotic UAV (카오스 소형 무인 비행체의 협조 제어를 위한 동기화 기법)

  • Bae, Young-Chul
    • Journal of Intelligence and Information Systems
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    • v.11 no.3
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    • pp.45-55
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    • 2005
  • In this paper, we propose a method to a synchronization of chaotic UAVs(Unmanned Aerial Vehicle) that have unstable limit cycles in a chaos trajectory surface. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. The proposed methods are assumed that if one of two chaotic UAVs receives the synchronization command, the other UAV also follows the same trajectory during the chaotic UAVs search on the arbitrary surface.

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Obstacle Avoidance Method in the Chaotic Unmanned Aerial Vehicle (카오스 무인 비행체에서의 장애물 회피 방법)

  • Bae, Young-Chul;Kim, Yi-Gon;Kim, Chun-Suk
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.7
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    • pp.883-888
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    • 2004
  • In this paper, we propose a method to avoid obstacles that have unstable limit cycles in a chaos trajectory surface. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. When a chaos UAVs meet an obstacle in an Arnold equation, Chua's equation and hyper-chaos equation trajectory the obstacle reflects the UAV( Unmanned Aerial Vehicle).

Obstacle avoidance method in the UAV

  • Bae, Young-Chul;Kim, Chun-Suk;Kim, Yig-On
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.10a
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    • pp.7-10
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    • 2004
  • In this paper, we propose a method to avoid obstacles that have unstable limit cycles in a chaos trajectory surface. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. When a chaos UAVs meet an obstacle in an Arnold equation or Chua's equation trajectory, the obstacle reflects the UAV

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Target searching method in the UAV

  • Bae, Young-Chul;Kim, Chun-Suk;Kim, Yi-Gon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.10a
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    • pp.11-14
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    • 2004
  • In this paper, we propose a method to target searching method that have unstable limit cycles in a chaos trajectory surface. We assume all targets in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle When a chaos UAV meet the target in the Arnold equation, Chua's equation trajectory, the target absorptive the UAV

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The Driven Synchronization in the Chaotic Mobile Robot (카오스 이동 로봇에서의 구동 동기화)

  • Bae, Young-Chul
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2852-2854
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    • 2005
  • In this paper, we propose a method to a synchronization of chaotic mobile robots that have unstable limit cycles in a chaos trajectory surface. We assume all obstacles in the chaos trajectory surface have a VDP (Van der Pol) equation with an unstable limit cycle. The proposed methods are assumed that if one of two chaotic mobile robot receives the synchronization command, the other robot also follows the same trajectory during the chaotic robot search on the arbitrary surface.

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