• Title/Summary/Keyword: nonlinear oscillators

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A Self-Organizing Scheme for Swarm Systems

  • Kim, Dong-Hun;Kim, Hong-Pil
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2475-2480
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    • 2003
  • A control system design based on coupled nonlinear oscillators (CNOs) for a self-organized swarm system is presented. In this scheme, agents self-organize to flock and arrange group formations through attractive and repulsive forces among themselves using CNOs. Virtual agents are also used to create richer group formation patterns. The objective of the swarm control in this paper is to follow a moving target with a final group formation in the shortest possible time despite some obstacles. The simulation results have shown that the proposed scheme can effectively construct a self-organized multi-agent swarm system capable of group formation and group immigration despite the emergence of obstacles.

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Dynamic Systems Control Using Entrainment-enhanced Neural Oscillator

  • Yang, Woo-Sung;Chong, Nak-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1020-1024
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    • 2005
  • In this paper, an approach to dynamic systems control is addressed based on exploiting the potential features of the new nonlinear neural oscillator. Neural oscillators have recently enabled robots to exhibit natural dynamics using their robustness and entrainment properties. To technically accomplish this objective, the neural oscillator should be connected to the robot joints under the sensory feedback. This also requires the neural oscillator to adapt to the non-periodic nature of arbitrary input patterns. However, even in the most widely-used Matsuoka oscillator, when an unknown quasi-periodic or non-periodic signal is applied, its output signal is not always closely entrained. Therefore, current neural oscillators may not be applied to the precise control of the dynamic systems response. We illustrate the enhanced entrainment properties of the new neural oscillator by numerical simulation and show the possibility for implementation to control a variety of dynamic systems. It is verified that the oscillator can produce rhythmic signals for generating actuator signals which can be naturally modified by incorporating sensory feedback to adapt to outer circumstances.

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Self-Organization for Multi-Agent Groups

  • Kim, Dong-Hun
    • International Journal of Control, Automation, and Systems
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    • v.2 no.3
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    • pp.333-342
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    • 2004
  • This paper presents a framework for the self-organization of swarm systems based on coupled nonlinear oscillators (CNOs). In this scheme, multiple agents in a swarm self-organize to flock and arrange themselves as a group using CNOs, which are able to keep a certain distance by the attractive and repulsive forces among different agents. A theoretical approach of flocking behavior by CNOs and a design guideline of CNO parameters are proposed. Finally, the formation scenario for cooperative multi-agent groups is investigated to demonstrate group behaviors such as aggregation, migration, homing and so on. The task for each group in this scenario is to perform a series of processes such as gathering into a whole group or splitting into two groups, and then to return to the base while avoiding collision with agents in different groups and maintaining the formation of each group.

A characteristics study on the Second-harmonic generation conversion efficiency of Pulsed Nd:YAG Laser adopted Superposition multiple Mesh Networks (중첩다단 메쉬회로를 적용한 펄스형 Nd:YAG 레이저의 2차 고조파 변환효율에 관한 특성연구)

  • 김휘영
    • Journal of the Korea Computer Industry Society
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    • v.2 no.4
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    • pp.565-572
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    • 2001
  • At the most recent years, laser medical instruments, laser applications and laser nuclear fusion need strong visible light and ultraviolet rays. Nonlinear optical devices, such as harmonic generators and parametric oscillators, provide a means of extending the frequency range of available laser sources. Frequency conversion is a useful technique for extending the utility of high-power lasers. It utilizes the nonlinear optical response of an optical medium in intense radiation fields to generate new frequencies. These progresses have been used to generate high-power radiation in all spectral regions, from the ultraviolet to the far infrared. Optical parametric oscillators and amplifiers generate two waves of lower frequency They are capable of generating a range of wavelengths from a single frequency source, in some cases spanning the entire visible and near infrared regions. Consequently, in order to obtain the green light, the pulsed Nd:YAG laser using multiple-mesh PFN(Pulsed Forming Network) method with Nonlinear optical device was adopted. We compared the current pulseshapes with the laser output energy, and conversion efficiency.

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Nonlinear Analysis of SCR Oscillators (SCR 발진회로의 비선형해석)

  • 박병철
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.11 no.3
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    • pp.32-35
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    • 1974
  • The SCR oscillator is ctaracterized by the second order differential equation which is consistent with both its equivalent circuit and its empirical formula. It is found that the wave form of the SCR oscillator contains the components of higher harmonics and that this oscillator is static since its representative point on the phase tragectory has the sense directed to the equilifrium point.

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Generalized Hardware Post-processing Technique for Chaos-Based Pseudorandom Number Generators

  • Barakat, Mohamed L.;Mansingka, Abhinav S.;Radwan, Ahmed G.;Salama, Khaled N.
    • ETRI Journal
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    • v.35 no.3
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    • pp.448-458
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    • 2013
  • This paper presents a generalized post-processing technique for enhancing the pseudorandomness of digital chaotic oscillators through a nonlinear XOR-based operation with rotation and feedback. The technique allows full utilization of the chaotic output as pseudorandom number generators and improves throughput without a significant area penalty. Digital design of a third-order chaotic system with maximum function nonlinearity is presented with verified chaotic dynamics. The proposed post-processing technique eliminates statistical degradation in all output bits, thus maximizing throughput compared to other processing techniques. Furthermore, the technique is applied to several fully digital chaotic oscillators with performance surpassing previously reported systems in the literature. The enhancement in the randomness is further examined in a simple image encryption application resulting in a better security performance. The system is verified through experiment on a Xilinx Virtex 4 FPGA with throughput up to 15.44 Gbit/s and logic utilization less than 0.84% for 32-bit implementations.

The analytic solution for parametrically excited oscillators of complex variable in nonlinear dynamic systems under harmonic loading

  • Bayat, Mahdi;Bayat, Mahmoud;Pakar, Iman
    • Steel and Composite Structures
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    • v.17 no.1
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    • pp.123-131
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    • 2014
  • In this paper we have considered the vibration of parametrically excited oscillator with strong cubic positive nonlinearity of complex variable in nonlinear dynamic systems with forcing based on Mathieu-Duffing equation. A new analytical approach called homotopy perturbation has been utilized to obtain the analytical solution for the problem. Runge-Kutta's algorithm is also presented as our numerical solution. Some comparisons between the results obtained by the homotopy perturbation method and Runge-Kutta algorithm are shown to show the accuracy of the proposed method. In has been indicated that the homotopy perturbation shows an excellent approximations comparing the numerical one.

Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force (주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.1
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    • pp.87-92
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    • 2016
  • Van der Pol's oscillators is non-conservative oscillator that having nonlinear damping phenomena. The energy of its system is dissipative at a high amplitude whereas its system creates the energy at low amplitude. In order to identify another behaviors in the Van der Pol oscillator, the periodic external force applied in the Van der Pol oscillator. This paper confirms the pattern of variation for the limit cycle according to parameter variation in order to identify another behaviors in the Van der Pol oscillator.

Quasi-phase matched optical parametric oscillators using periodically poled $KNbO_3$ crystals (주기적으로 분극 반전된 $KNbO_3$를 이용한 준위상 정합 광 매개 진동자)

  • Lee Gwang Jo;Kim Jung Hyeon;Im Min Ho;O Hyeon Ho;Lee Don Hui;Yun Chun Seop
    • Proceedings of the Optical Society of Korea Conference
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    • 2003.02a
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    • pp.230-231
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    • 2003
  • $KNbO_3$is one of the best materials for efficient nonlinear frequency conversion, due to its large nonlinear optical coefficient ($d_{33}$ = 20.6 pm/V), wide transparency range (0.4 ~ 5 $\mu$m) and freedom from photorefractive effects. Quasi-phase-matched second harmonic generation using periodically poled $KNbO_3$ (PPKN) crystals has been reported. Here we report on fabrication of PPKN and demonstration of a pulsed optical param etric oscillator (QPM OPO) pumped by an Nd:YAG laser. (omitted)

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Accurate periodic solution for non-linear vibration of dynamical equations

  • Pakar, Iman;Bayat, Mahmoud;Bayat, Mahdi
    • Earthquakes and Structures
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    • v.7 no.1
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    • pp.1-15
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    • 2014
  • In this paper we consider three different cases and we apply Variational Approach (VA) to solve the non-natural vibrations and oscillations. The method variational approach does not demand small perturbation and with only one iteration can lead to high accurate solution of the problem. Some patterns are presented for these three different cease to show the accuracy and effectiveness of the method. The results are compared with numerical solution using Runge-kutta's algorithm and another approximate method using energy balance method. It has been established that the variational approach can be an effective mathematical tool for solving conservative nonlinear dynamical equations.