• Title/Summary/Keyword: bifurcation analysis

Search Result 264, Processing Time 0.034 seconds

Characteristic Analysis of the Discrete Time Voltage Mode CMOS Chaos Generative Circuit (이산시간 전압모드 CMOS 혼돈 발생회로의 특성해석)

  • Song, Han-Jeong;Gwak, Gye-Dal
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.37 no.3
    • /
    • pp.55-62
    • /
    • 2000
  • This paper presents an analysis of the chaotic behavior in the discrete-time voltage mode chaotic generator fabricated using 0.8${\mu}{\textrm}{m}$ single poly CMOS technology. An approximated empirical equation is extracted from the measurement data of a nonlinear function block. Then the bifurcation diagram is simulated according to input variables and Lyapunov exponent λ which represent a dependence on an initial value is calculated. We show the interrelations among time waveforms, state transition, and power spectra for the state condition of chaotic circuit, such as equilibrium, periodic, and chaotic state. And results of experiments in the chaotic circuit with the $\pm$2.5V power supply and sampling clock frequency of 10KHz are shown and compared with the simulated results.

  • PDF

Nonlinear dynamic analysis of SWNTs conveying fluid using nonlocal continuum theory

  • Kordkheili, Seyed Ali Hosseini;Mousavi, Taha;Bahai, Hamid
    • Structural Engineering and Mechanics
    • /
    • v.66 no.5
    • /
    • pp.621-629
    • /
    • 2018
  • By employing the nonlocal continuum field theory of Eringen and Von Karman nonlinear strains, this paper presents an analytical model for linear and nonlinear dynamics analysis of single-walled carbon nanotubes (SWNTs) conveying fluid with different boundary conditions. In the linear analysis the natural frequencies and critical flow velocities of SWNTs are computed. However, in the nonlinear analysis the effect of nonlocal parameter on nonlinear dynamics of cantilevered SWNTs conveying fluid is investigated by using bifurcation diagram, phase plane and Poincare map. Numerical results confirm existence of chaos as well as a period-doubling transition to chaos.

Nonlinear Representation of Two-Stage Power-Factor-Correction AC/DC Circuits

  • Orabi Mohamed;Ninomiya Tamotsu
    • Journal of Power Electronics
    • /
    • v.4 no.4
    • /
    • pp.197-204
    • /
    • 2004
  • Two-stage Power-Factor-Correction (PFC) converters are the most common circuits for drawing sinusoidal and in phase current waveforms from an ac source with a good regulated output voltage. The first stage is a boost PFC converter with average-current-mode control for achieving the near-unity power factor and the second stage is a forward converter with voltage-mode control to regulate the output voltage. Stability analysis and design methods of two-stage PFC converters have previously been discussed using linear models. Recently, new nonlinear phenomena have been detected in pre-regulator boost PFC circuits and a new nonlinear model has been proposed for pre-regulated PFC converters. Therefore, investigation of two-stage PFC converters from the nonlinear viewpoint becomes important because the second stage DC/DC converter adds more complexity to the circuit. So, this paper introduces a study of the stability of two-stage PFC converters. A novel nonlinear model of two-stage PFC converters is proposed. Then, a stability analysis is made based upon this nonlinear model. The high correspondence between the simulated and experimental results confirms our analysis.

A study of the Snapping investigations of Seoul Southwest Baseball Dome (서울 서남권 돔 야구장의 Snapping 검토에 관한 연구)

  • Kim, Seung-Deog;Kim, Nam-Seok
    • Journal of Korean Association for Spatial Structures
    • /
    • v.10 no.4
    • /
    • pp.133-140
    • /
    • 2010
  • This paper studies on the instability behaviour of the Seoul southwest baseball dome. The nonlinear Snapping phenomenon of the structure is investigated about the load mode by the design load of analysis structure and these combined loads. The initial imperfection obtains the buckling mode through the eigenvalue analysis of the tangential stiffness matrix and uses this for the nonlinear analysis. However, the buckling of members or the local buckling, and etc don't consider in the research range of this research task. Also it is limited the overall buckling phenomenon.

  • PDF

Graphical Design Plane Analysis for Series-Compensated Resonant Energy Links of Inductive Wireless Power Transfer Systems

  • Jeong, Chae-Ho;Choi, Sung-Jin
    • Journal of Power Electronics
    • /
    • v.19 no.6
    • /
    • pp.1440-1448
    • /
    • 2019
  • In wireless power transfer systems, it is important to design resonant energy links in order to increase the power transfer efficiency and to obtain desired system performances. This paper proposes a method for designing and analyzing the resonant energy links in a series-series configured IPT (inductive power transfer) system using the FOM-rd plane. The proposed FOM-rd graphical design plane can analyze and design the voltage gain and the power efficiency of the energy links while considering changes in the misalignment between the coils and the termination load condition. In addition, the region of the bifurcation phenomena, where voltage gain peaks are split over the frequency, can also be distinctly identified on the graphical plane. An example of the design and analysis of a 100 W inductive power transfer system with the proposed method is illustrated. The proposed method is verified by measuring the voltage gain and power efficiency of implemented hardware.

A Study on Nonlinear Partial Simulation of Spatial Structure Using Rigid Replacement Method of Boundary (경계부 강성 치환 기법을 이용한 대공간 구조물의 부분 비선형 시뮬레이션에 관한 연구)

  • Kim, Seung-Deog;Jung, Hye-Won
    • Journal of Korean Association for Spatial Structures
    • /
    • v.19 no.2
    • /
    • pp.17-25
    • /
    • 2019
  • In this study, we propose a new scheme of nonlinear analysis for Incheon International Airport Terminal-2 which was opened on January of 2018 for the Olympic Winter Games of PyeongChang in South Korea. The terminal was built by a single layered irregular space frame. It has hard problems for nonlinear analysis geometrically, because of a limitation of personal computer's ability by the number of rigid joints in the roof. Therefore we attempt easier approach to be chosen a center part of the roof instead of the whole structure, and to substitute the other boundary parts as springs. The scheme shows some merits for saving memory and calculation time and so on.

DYNAMIC ANALYSIS FOR DELAYED HCV INFECTION IN VIVO WITH ANTI-RETRO VIRAL TREATMENT

  • Krishnapriya, P.;Hyun, Ho Geun
    • Nonlinear Functional Analysis and Applications
    • /
    • v.26 no.3
    • /
    • pp.629-648
    • /
    • 2021
  • In this paper, we study a within-host mathematical model of HCV infection and carry out mathematical analysis of the global dynamics and bifurcations of the model in different parameter regimes. We explore the effect of reverse transcriptase inhibitors (RTI) on spontaneous HCV clearance. The model can produce all clinically observed patient profiles for realistic parameter values; it can also be used to estimate the efficacy and/or duration of treatment that will ensure permanent cure for a particular patient. From the results of the model, we infer possible measures that could be implemented in order to reduce the number of infected individuals.

Structural Design Optimization of Dynamic Crack Propagation Problems Using Peridynamics (페리다이나믹스를 이용한 균열진전 문제의 구조 최적설계)

  • Kim, Jae-Hyun;Park, Soomin;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.28 no.4
    • /
    • pp.425-431
    • /
    • 2015
  • Based on a bond-based peridynamics theory for dynamic crack propagation problems, this paper presents a design sensitivity analysis and optimization method. Peridynamics has a peculiar advantage over the existing continuum theory in the mathematical modelling of problems where discontinuities arise. For the design optimization of the crack propagation problems, a non-shape design sensitivity is derived using the adjoint variable method. The obtained adjoint sensitivity of displacement and strain energy turns out to be very accurate and efficient compared to the finite different sensitivity. The obtained design sensitivities are futher utilized to optimally control the position of bifurcation point in the design optimization of crack propagation in a plate under tension. A numerical experiment demonstrates that the optimal distribution of material density could delay the position of bifurcation.

Nonlinear Dynamical Behavior of Beam-Plasma in the Pierce Diode (Pierce 다이오드에서 플라즈마의 비선형 동력학적 거동)

  • Koh, Wook-Hee;Park, In-Ho
    • Journal of the Korean Vacuum Society
    • /
    • v.21 no.5
    • /
    • pp.249-257
    • /
    • 2012
  • Nonlinear dynamical behaviors of plasma in the Pierce diode are investigated by a numerical code developed using a one dimensional fluid model. The plasma in Pierce diode is alternately stable and unstable as Pierce parameter is changed. The dynamical characteristics of neutral and non-neutral Pierce system is examined analytically and numerically. It alternately has growing and oscillatory mode as Pierce parameter varies. As Pierce parameter is decreased, each oscillatory mode undergoes a sequence of subharmonic period-doubling bifurcation and then culminate in a chaotic strange attractor. The analysis for this nonlinear behavior can be used as a model for understanding of beam-plasma interaction in more complex geometries and a data for chaos control.

PULSATILE FLOW SIMULATION OF A NON-NEWTONIAN FLUID THROUGH A BIFURCATION TUBE USING THE CFD ANALYSIS (CFD를 이용한 분지관 비뉴턴 해석)

  • Hwang, D.;Yoo, S.S.;Park, H.K.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.03a
    • /
    • pp.177-180
    • /
    • 2008
  • The objective of this study is to get simulation data about pulsatile flow of a non-Newtonian fluid through a bifurcated tube. All the process was based on CFD method, with a commercial FVM code, SC/Tetra ver. 6.0 for solving, and with CATIA R16 for generating geometries. To define a non-Newtonian fluid, the following viscous models are used; the Powell-Eyring model, the modified Powell-Eyring model, the Cross model, the modified Cross model, the Carreau model, the Carreau-Yasuda model and the modified Power Law model. The flow calculation data using each model were compared with the other data of a existing paper. Finally, the Carreau model was recognized to give the best result with the SC/Tetra code, and the succeeding simulations are made with the model. For the pulsating flow condition, the sine wave type velocity profile is given as the inlet boundary condition. To investigate the effect of geometries and mesh, the pre-test is carried out with various curvature conditions of the bifurcated corner, and then with various mesh conditions. The final process is to calculate flow variables such as the wall shear stress (WSS) and the wall shear stress gradient (WSSG). To validate all the result, the simulation is compared with the existing data of the other papers. Generally speaking, there is a noticeable difference in the maximum and minimum value of WSS. It is not sure that the values in each data are on the exactly same location. However, the overall trend is similar. The next study needs to investigate the same situation by experimental method. Furthermore, if the flow is simulated with more pulsatile conditions, more data of flow field through a bifurcated tube could be achieved.

  • PDF