• Title/Summary/Keyword: 로렌츠 시스템

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Chaotic dynamics of the multiplier based Lorenz circuit (곱셈기 기반 로렌츠 회로의 카오스 다이내믹스)

  • Ji, Sung-hyun;Song, Han-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.26 no.4
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    • pp.273-278
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    • 2016
  • In this paper, chaotic circuit of the Lorentz system using multipliers, operational amplifiers, capacitor, fixed resistor and variable resistor for control has been designed in a electronic circuit. Through PSPICE program, electrical characteristics such as time waveforms, frequency spectra and phase attractors analyzed. And in the special area ($10{\sim}100k{\Omega}$) of the $500k{\Omega}$ control variable resistor, the circuit showed chaotic dynamics. Also, we implemented the circuit in a electronic hardware system with discrete elements. Measured results of the circuit coincided with simulated data.

Goodness-of-fit test for the gumbel distribution based on the generalized Lorenz curve (일반화된 로렌츠 곡선을 기반으로 한 Gumbel 분포의 적합도 검정)

  • Lee, Kyeongjun
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.4
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    • pp.733-742
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    • 2017
  • There are many areas of applications where Gumbel distribution are employed such as environmental sciences, system reliability and hydrology. The goodness-of-fit test for Gumbel distribution is very important in environmental sciences, system reliability and hydrology data analysis. Therefore, we propose the two test statistics to test goodness-of-fit for the Gumbel distribution based on the generalized Lorenz curve. We compare the new test statistic with the Anderson - Darling test, Cramer - vonMises test, and modified Anderson - Darling test in terms of the power of the test through by Monte Carlo method. As a result, the new test statistics are more powerful than the other test statistics. Also, we propose new graphic method to goodness-of-fit test for the Gumbel distribution based on the generalized Lorenz curve.

A study on synchronization of lorenz-based dicrete chaotic with application to communcation encryption (통신암호화에 응용된 로렌츠 기반 이산 카오스의 동기화에 관한 연구)

  • Park, Chul;Kim, Young-Tae;Ko, Hyung-Hwa
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.11
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    • pp.2488-2497
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    • 1997
  • In this paper, a computer simulation of the Lornz discrete chaotic system is described. The chotic behavior closely matches the results predicted by numerical simulations. Using the concept of discrete synchronized chaotic systems, the possibility of a secure communication is proved by simulating the Lorenz system in both the transmitter and receiver. In the proposed approach, at first, a chaotic modulating signal is multiplied with the message, and these are transmitted with adding a chaotic modulating signals, and then at the receiver, the chaotic modulating signal is regenerated and divided from the receiver signal. Varying a smapling time interval to calibrate the robustness of the Lorenz discrete synchronized chaotic system as a nonlinear state estimator, we measured the performance of the Lorenz discrete syncrhonized chaotic system by comparing the synchronization error and the error between transmitted signal and received signal.

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Microcontroller based Chaotic Lorenz System for Secure Communication Applications (암호통신 응용을 위한 마이크로 컨트롤러 기반 로렌츠 카오스 시스템)

  • Jayawickrama, Chamindra;Song, Hanjung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.22 no.12
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    • pp.1698-1704
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    • 2018
  • This paper presents a implementation of a chaotic Lorenz system for data secure communication applications. Here we have used PIC18F family-based microcontroller to generate the chaotic signal, and simulated waveform patterns confirm that the chaotic behavior of the microcontroller based discrete time chaotic Lorenz system. There are three R-2R ladder type A/D converters have been implemented for conversion of direct microcontroller digital output into analog waveform, utilizing this specific microcontroller relevant to this experiment work, microcontroller ports B, C and D have been utilized for its time waveform outputs X, Y and Z respectively. XC8 compiler used for the compilation of the program. MATLAB and PROTEUS software platforms are used for simulation. Finally, chaotic time wave forms, 2D chaotic attractors were obtained and secure communication analog waveforms were also verified by experimental measurement.

Three-Dimensional Numerical Analysis of Arc Plasmas with an Axial Magnetic Field Vacuum Interrupter (축자계 진공차단부에서 발생하는 아크 플라즈마 3차원 수치해석)

  • Seo, Hyeon-Seok;Kim, Yun-Je;Lee, Jong-Cheol
    • Proceedings of the Korean Vacuum Society Conference
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    • 2011.02a
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    • pp.249-249
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    • 2011
  • 전력용 개폐장치인 진공차단기의 차단부가 송배전 시스템에 30 [kA] 정도의 커다란 사고전류가 흐르는 것을 방지하기 위하여 동작될 때 차단부 내부 전극 사이에 25,000 [K] 이상의 아크 플라즈마가 발생하게 된다. 두 전극 사이에 발생된 아크 플라즈마는 약 10 ms~20 ms 동안 지속되다가 교류전원의 전류영점 부근에서 회복된 절연성능으로 인하여 자연스럽게 소멸되지만, 대전류 구간동안 아크 플라즈마의 집중 현상 등에 의하여 전극의 심각한 손상 등이 발생되면 절연성능이 요구된 만큼 회복되지 못하여 사고전류를 차단하지 못하며 시스템에 연결된 기기들에게 심각한 손상을 입히고 정전사고를 일으킨다. 본 연구에서는 전자계-열유동 연성해석기법을 이용한 축자계 진공차단부에서 발생하는 아크 플라즈마의 3차원 수치해석을 통하여 전극의 심각한 손상을 입히는 아크플라즈마의 집중 현상에 관한 축자계의 영향을 고찰하고자 한다. 수치해석을 위한 아크 영역은 양극과 음극의 직경과 같은 직경의 원기둥으로 가정하였고, 전자계 해석으로부터 얻어진 로렌츠 힘과 줄열을 열유동 해석을 위한 Navier-Stokes 방정식의 파라미터로 입력하여 해석을 수행함으로써 전자계와 유체역학적인 영역을 동시에 연계한 순차적 일방향 연성해석 기법을 적용하였다. 컵형 축자계 진공차단부 내 아크영역에서의 로렌츠 힘의 특성과 온도분포에 대하여 수치해석을 수행하였고, 크기가 다른 두 로렌츠 힘에 의하여 양극표면으로 집중되는 온도분포의 크기를 비교함으로써 진공아크 플라즈마의 집중현상에 영향을 미치는 주요 요소를 규명할 수 있었다.

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Chaotic Signal Masking Based on Lorens System (로렌츠 시스템에 바탕을 둔 혼돈신호 덧씌우기)

  • 장태주;송익호;배진수;김홍길
    • Journal of Broadcast Engineering
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    • v.1 no.1
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    • pp.62-66
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    • 1996
  • In this paper, we consider a signal masking structure based on the Lorenz system, which uses a feedback path of the information signal in the transmitter system. The scheme recovers the information signal exactly at the receiver, and can be used with increased amplitude information signal. The scrambling property of the scheme is also investigated by computer simulations, from which the performance is show to be better than that of the conventional method.

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Electronic Circuit Analysis of the Lorentz Chaotic System for Engineering Applications (공학적 응용을 위한 로렌츠 카오스 시스템의 전자회로 해석)

  • Han, Sang-Baek;Jo, Mun-Kyu;Song, Han-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.1
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    • pp.311-316
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    • 2012
  • In this paper, chaotic circuit of the Lorentz system for engineering applications was implemented using resistor, multipliers, capacitors and operational amplifiers. The implemented Lorentz chaotic system was analysed by PSPICE program. PSPICE simulation results show many kind of chaotic phenomena such time waveforms and phase plots. Meanwhile, according to resistor's variation, we got that Lorentz system show equilibrium state, periodic state and chaotic state.

The Enhancement of Antenna Near-Field Measurements Using Near-Field to Far-Field Transform Algorithms Based on the Lorentz Reciprocity Theorem (로렌츠 상호작용 원리와 근역장-원역장 변환 공식을 이용한 안테나 근역장 측정 알고리즘 개선)

  • Cho, Yong-Heui
    • The Journal of the Korea Contents Association
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    • v.6 no.2
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    • pp.51-58
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    • 2006
  • The enhancement of antenna near-field measurements is obtained using a general probe compensation equation based on the Lorentz reciprocity theorem and reciprocity notation. The probe compensation is an essential process of the near-field to far-field transformations. Applying the equation proposed in this paper to a planar scanning for a rectangular horn antenna shows that our near-field radiation pattern is similar to that of a far-field and our theory is very simple to use and suitable for most practical applications.

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Microcontroller based Chaotic Lorenz System for secure communication applications (암호통신 응용을 위한 마이크로 컨트로러 기반 로렌츠 카오스 시스템)

  • Jayawickrama, Chamindra;Kang, Bogyeong;Al-Shidaifat, AlaaDdin;Park, Yongsu;Song, Hanjung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2018.10a
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    • pp.487-489
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    • 2018
  • This paper presents chaotic Lorenz system implementation for secure data communication applications. In this work chaotic signal is generated by a PIC18F family based microcontroller, XC8 compilers have been utilized for the compilation of C code of microcontroller program. For simulation work Matlab and Proteus platforms were utilized and finally, chaotic time waveforms, 2D and 3D chaotic attractor were obtained and secure communication waveforms were achieved successfully.

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Target Searching Method in the Chaotic Mobile Robot (카오스 이동 로봇에서의 목표물 탐색 방법)

  • 배영철;김이곤
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.103-106
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    • 2004
  • 본 본문은 하이퍼카오스, 로렌츠, 해밀톤 방정식과 같은 여러 종류의 카오스 회로를 이동 로봇에 내장하여 카오스 이동 로봇을 구성하고 이 카오스 이동 로봇이 어느 임의 평면을 카오스 궤적을 가지고 탐색하다가 목표물에 근접하거나 탐색하고자 하는 목표물이 확인되면 집중적인 탐색을 실행하는 방법을 제시하고 그 결과를 검증하였다. 목표물 탐색에서는 장애물 회피와 유사한 카오스 궤적을 가지고 탐색하도록 하는 알고리즘을 개발하고 그 결과를 검증하였으며 이에 대한 타당성을 확인하였다.

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