• Title/Summary/Keyword: chaotic

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Chaos in nonlinear control systems

  • Lee, Joon-Suh;Chang, Kun-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.758-762
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    • 1994
  • Complicated dynamical behavior can occur in model reference adaptive control systems when two external sinusoidal signals are introduced although the plant and reference model are stable linear first older systems. The phase portrait plot and the power spectral analysis indicate chaotic behavior. In the system treated, a positive Lyapuniov exponent and non-integer dimension clearly manifest chaotic nature of the system.

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Chaotic System Control Considering Edge of Chaos Using Neural Network

  • Obayashi, Masanao;Umesako, Kosuke;Nakayama, Daisuke
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.93.1-93
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    • 2002
  • In this paper, an efficient robust control method for chaotic system introducing the concept, the edge of chaos (:boundary status between chaos and non-chaos), is proposed. To realize this concept, we introduce an extended performance index which consists of two parts. One is for achievement of the system's objects, another is for keeping the system edge of chaos. Parameters of the neural network controller are adjusted to minimize the value of the extended performance index and achieve the above two objects using Random...

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A Study on the Application of Simple Phytoplankton Model for Reservoir (저수지에 대한 조류 모형의 적용성 검토)

  • 이홍근;이준호
    • Journal of Environmental Health Sciences
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    • v.17 no.1
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    • pp.50-56
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    • 1991
  • The purpose of this study was development of a simple phytoplankton model for reservoir and applied DaeCheung reservoir. The effects of light intensity, PO$_{4}$-P, settling rate and flushing loss on phytoplankton growth are analyzed. This paper describes as investigation of the potential of simple phytoplankton models to d/splay chaotic instability, but given the observation of chaotic behavior in other simple simulation systems, such behavoir may actually be real fluctuation in the system response.

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Visualization of Stirring Characteristics in a Microchannel with Structures Changed (마이크로 채널내 구조물 변경에 따른 교반특성 가시화)

  • Heo Hyeung Seok;Suh Yong Kweon
    • 한국가시화정보학회:학술대회논문집
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    • 2003.11a
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    • pp.79-80
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    • 2003
  • This paper presents experimental results on stirring characteristics in a microchannel with structures changed. We fabricated a new chaotic micro mixer and made by a RP(Rapid Rrototyping) technology. Flow visualization for the stirring effect was performed by using pure orator in a reservoir and fluorescent dye in the other. Chaotic mixing was achieved by introducing periodic perturbation in the field of the microchannel flow by means of shaped structures. It was found that the stirring is enormously enhanced at larger bock-height.

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Verification on Chaotic Behavior of Cutting Force in Metal Cutting (절삭가공시 절삭력 신호의 카오스적거동에 관한 규명)

  • 구세진
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.10a
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    • pp.96-100
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    • 1996
  • So far the analysis and modeling of cutting process is studied commonly assumed as being linear stochastic or chaotic without experimental verification. So we verified force signals of cutting process(ball end-milling) is low-dimensional chaos by calculating Lyapunov Exponents. reconstructing attractor using time delay coordinates and calcula-ting it's fractal dimension.

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DISTRIBUTIONAL CHAOS AND DISTRIBUTIONAL CHAOS IN A SEQUENCE OCCURRING ON A SUBSET OF THE ONE-SIDED SYMBOLIC SYSTEM

  • Tang, Yanjie;Yin, Jiandong
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.95-108
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    • 2020
  • The aim of this paper is to show that for the one-sided symbolic system, there exist an uncountable distributively chaotic set contained in the set of irregularly recurrent points and an uncountable distributively chaotic set in a sequence contained in the set of proper positive upper Banach density recurrent points.

Nonlinear Behavior in Love Model with Discontinuous External Force

  • Bae, Youngchul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.16 no.1
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    • pp.64-71
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    • 2016
  • This paper proposes nonlinear behavior in a love model for Romeo and Juliet with an external force of discontinuous time. We investigated the periodic motion and chaotic behavior in the love model by using time series and phase portraits with respect to some variable and fixed parameters. The computer simulation results confirmed that the proposed love model with an external force of discontinuous time shows periodic motion and chaotic behavior with respect to parameter variation.

Control of Dynamical Systems: An Intelligent Approach

  • Ammar, Soukkou;Khellaf, Abdelhafid;Leulmi, Salah;Grimes, Mourad
    • International Journal of Control, Automation, and Systems
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    • v.6 no.4
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    • pp.583-595
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    • 2008
  • In this paper, we introduce a fuzzy nonlinear feedback approach to the control of a class of chaotic dynamical systems. The fuzzy Parallel Distributed Compensation with Reduced Rule Base approach (PDC_RRB) is proposed. The design procedure is conceptually simple and considered to a nonlinear optimal and robust control problem due to the nonlinear nature of the Takagi-Sugeno (TS) fuzzy system. Simulation results are provided to show the effictiveness of the proposed methodology.

Analysis of information encoding in a chaotic neural network (카오스 신경회로망에서의 정보의 인코딩 해석)

  • 여진경
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 2002.06a
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    • pp.367-371
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    • 2002
  • I construct a chaotically driven contraction system having some analogy with the information transfer mechanism in the brain system especially from CA1 cell to CA3 cell known from the empirical result. And I consider the properties of the response system on a state space according to the external input into the drive neuron by observing the fractal hierarchical structure. Then I induce the relation between the information about state transition of the chaotic time series and the spatial information on a fractal attractor to confirm the possibility of encoding of time series data to spatial information.

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Signal-Dependent Chaotic-State-Modulated Digital Secure Communication

  • Farooq, Omar;Datta, Sekharjit
    • ETRI Journal
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    • v.28 no.2
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    • pp.250-252
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    • 2006
  • In this letter, a discrete state, discrete time chaotic pseudo random number generator (CPRNG) is presented for stream ciphering of text, audio, or image data. The CPRNG is treated as a finite state machine, and its state is modulated according to the input bit sequence of the signal to be encrypted. The modulated state sequence obtained can be transmitted as a spread spectrum or encrypted data.

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