Local-Activity and Simultaneous Zero-Hopf Bifurcations Leading to Multistability in a Memristive Circuit

2021 ◽  
Vol 31 (15) ◽  
Author(s):  
Marcelo Messias ◽  
Alisson de Carvalho Reinol
Keyword(s):  
Hopf Bifurcations ◽  
Initial Condition ◽  
Parameter System ◽  
Memristive Device ◽  
Final State ◽  
State Variable ◽  
Stable Periodic ◽  
Memristive Circuit ◽  
Line Of Equilibria

In this paper, we consider a memristive circuit consisting of three elements: a passive linear inductor, a passive linear capacitor and an active memristive device. The circuit is described by a four-parameter system of ordinary differential equations. We study in detail the role of parameters in the dynamics of the system. Using the existence of first integrals, we show that the circuit may present a continuum of stable periodic orbits, which arise due to the occurrence of infinitely many simultaneous zero-Hopf bifurcations on a line of equilibria located in the region where the memristance is negative and, consequently, the memristive device is locally-active. These bifurcations lead to multistability, which is a difficult and interesting problem in applied models, since the final state of a solution depends crucially on its initial condition. We also study the control of multistability by varying a parameter related to the state variable of the memristive device. All analytical results obtained were corroborated by numerical simulations.

scholarly journals Study of Rare Mesonic Decays Involving Di-Neutrinos in Their Final State

2018 ◽  
Vol 2018 ◽  
pp. 1-20
Author(s):  
Azeem Mir ◽  
Farida Tahir ◽  
Shakeel Mahmood ◽  
Shi- Hai Dong
Keyword(s):  
Branching Fractions ◽  
New Physics ◽  
Supersymmetric Model ◽  
Final State ◽  
Yukawa Couplings ◽  
Leptonic Decays ◽  
Pseudoscalar Mesons ◽  
Theoretical Predictions ◽  
Minimal Supersymmetric Model

We have studied phenomenological implication of R-parity violating (Rp) Minimal Supersymmetric Model (MSSM) via analyses of pure leptonic (M→νν¯) and semileptonic decays of pseudoscalar mesons (M→Xνν¯). These analyses involve comparison between theoretical predictions made by Rp MSSM and the Standard Model (SM) with the experimental results like branching fractions (Br) of the said process. We have found, in general, that Rp contribution dominates over the SM contribution, i.e., by a factor of 10 for the pure leptonic decays of KL,S and by 102 and 104 in case of Bs and Bd, respectively. Furthermore, the limits obtained on Rp Yukawa couplings (λαkβ′λαkγ′⁎) by using Br  (M→Xνν¯) are used to calculate Br  (M→νν¯). This demonstrates the role of Rp MSSM as a viable model for the study of new physics contribution in rare decays at places like Super B factories, KOTO (J-PARC) and NA62 at CERN.

scholarly journals Hemophagocytic Lymphohistiocytosis Associated to Klebsiella pneumoniae Infection: A Case Report

2021 ◽  
Vol 12 ◽  
Author(s):  
Zhiyu Zhang ◽  
Junqian Liu ◽  
Jinggyue Wang ◽  
Yushi Wang
Keyword(s):  
Case Report ◽  
Klebsiella Pneumoniae ◽  
Hemophagocytic Lymphohistiocytosis ◽  
Klebsiella Pneumonia ◽  
Initial Condition ◽  
Organ Function ◽  
Cardiac Intensive Care Unit ◽  
Function Impairment ◽  
Cardiac Intensive Care

This is a case analysis of a 73-year-old Chinese man admitted to the cardiac intensive care unit (ICU) with fever and general pain. Based on the patient’s initial condition of multi-organ function impairment and increased serum ferritin, and after a series of examinations, the patient was diagnosed with Klebsiella pneumonia-induced hemophagocytic lymphohistiocytosis (HLH). Meropenem and dexamethasone were used in combination to treat the patient, and the results were very successful. In this case report, it is further suggested that Klebsiella pneumoniae is a possible trigger of HLH, and a combination of antibiotics and corticosteroids can be effective in treating HLH. It is also recommended that doctors in the ICU of each department should pay attention to the role of hyperferritinemia in the diagnosis of HLH, and ICU admission teams should include ferritin in their monitoring.

scholarly journals EXTRACTION OF RESONANCE PARAMETERS AND ROLE OF THE FINAL STATE INTERACTIONS

2014 ◽  
Vol 26 ◽  
pp. 1460082 ◽  
Author(s):  
IGOR I. STRAKOVSKY ◽  
WILLIAM J. BRISCOE ◽  
ALEXANDER E. KUDRYAVTSEV ◽  
VLADIMIR E. TARASOV
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Impulse Approximation ◽  
Pion Photoproduction ◽  
Final State ◽  
The World ◽  
Final State Interactions ◽  
Watson’S Theorem ◽  
Photoproduction Data

We present an overview of the SAID group effort to analyze new γn → π-p cross sections vs. the world database to get new multipoles and determine neutron electromagnetic couplings. The differential cross section for the processes γn → π-p was extracted from new measurements at CLAS and MAMI-B accounting for Fermi motion effects in the impulse approximation (IA) as well as NN- and πN-FSI effects beyond the IA. We evaluated results of several pion photoproduction analyses and compared πN PWA results as a constraint for analyses of pion photoproduction data (Watson's theorem).

COMPLEMENTARITY, SUBSTITUTABILITY AND STRATEGIC ACCUMULATION OF CAPITAL

2002 ◽  
Vol 04 (04) ◽  
pp. 371-390 ◽  
Author(s):  
CHARLES FIGUIERES
Keyword(s):  
Differential Games ◽  
Capital Accumulation ◽  
Dynamic Properties ◽  
Initial Condition ◽  
Long Run

The preemptive role of capital is analyzed in a class of differential games of capital accumulation with reversible investment for two symmetric players. Two dynamic concepts of interaction are defined: feedback substitutability and feedback complementarity. These concepts are useful for exploring the dynamic properties of the stocks. In particular it is proved that if the equilibrium of the game is characterized by feedback substitutability, the firm with the higher initial condition overshoots his long-run level of capital.

scholarly journals Role of Initial Condition in Lasing of Fast Capillary Discharge Plasmas

2004 ◽  
Vol 80 (9) ◽  
pp. 723-724 ◽  
Author(s):  
Nobuhiro SAKAMOTO ◽  
Kotaro KONDO ◽  
Majid MASNAVI ◽  
Yasushi HAYASHI ◽  
Mitsuo NAKAJIMA ◽  
...  
Keyword(s):  
Capillary Discharge ◽  
Initial Condition ◽  
Discharge Plasmas

scholarly journals Partial wave analysis of HADES data for two-pion production in pion-nucleon reactions

2019 ◽  
Vol 199 ◽  
pp. 02001
Author(s):  
I. Ciepał ◽  
W. Przygoda ◽  
A. V. Sarantsev
Keyword(s):  
Partial Wave ◽  
Pion Production ◽  
Meson Production ◽  
Resonance Region ◽  
Partial Wave Analysis ◽  
Wave Analysis ◽  
Final State ◽  
Hades Collaboration ◽  
Pion Nucleon

Pion beams are perfect tools to probe resonance excitations at a fixed energy, thus properties of baryonic resonances and their coupling channels can be studied. The HADES Collaboration performed a systematic scan around the second resonance region at four different pion beam momenta 0.656, 0.69, 0.748 and 0.8 GeV/c in π− p reaction. The role of the N(1520) resonance in conjunction with the intermediate ρ-meson production has been studied in the framework of a partial wave analysis. Preliminary results on exclusive channels with one pion (π− p) and two pions (nπ+π− and pπ−π0) in the final state are presented.

scholarly journals On the Regularized Solutions of Optimal Control Problem in a Hyperbolic System

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Yeşim Saraç ◽  
Murat Subaşı
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Iterative Procedure ◽  
Control Function ◽  
Optimal Solution ◽  
Test Problems ◽  
Initial Condition ◽  
Final Time ◽  
State Variable ◽  
Suitable Norm

We use the initial condition on the state variable of a hyperbolic problem as control function and formulate a control problem whose solution implies the minimization at the final time of the distance measured in a suitable norm between the solution of the problem and given targets. We prove the existence and the uniqueness of the optimal solution and establish the optimality condition. An iterative algorithm is constructed to compute the required optimal control as limit of a suitable subsequence of controls. An iterative procedure is implemented and used to numerically solve some test problems.

On Kelvin–Stuart vortices in a viscous fluid

2008 ◽  
Vol 366 (1876) ◽  
pp. 2717-2728 ◽  
Author(s):  
L.E Fraenkel
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Small Time ◽  
Navier Stokes ◽  
Initial Condition ◽  
Small Reynolds Number ◽  
The One ◽  
Stuart Vortices ◽  
Reversed Time

When one contemplates the one-parameter family of steady inviscid shear flows discovered by J. T. Stuart in 1967, an obvious thought is that these flows resemble a row of vortices diffusing in a viscous fluid, with the parameter playing the role of a reversed time. In this paper, we ask how close this resemblance is. Accordingly, the paper begins to explore Navier–Stokes solutions having as initial condition the classical, irrotational flow due to a row of point vortices. However, since we seek explicit answers, such exploration seems possible only in two relatively easy cases: that of small time and arbitrary Reynolds number and that of small Reynolds number and arbitrary time.

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