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1.
Philos Trans A Math Phys Eng Sci ; 379(2192): 20200232, 2021 Mar 08.
Article in English | MEDLINE | ID: mdl-33455549

ABSTRACT

Combined effects of the damping and forcing in the underdamped time-delayed Duffing oscillator are considered in this paper. We analyse the generation of a certain damping-induced unpredictability due to the gradual suppression of interwell oscillations. We find the minimal amount of the forcing amplitude and the right forcing frequency to revert the effect of the dissipation, so that the interwell oscillations can be restored, for different time delay values. This is achieved by using the delay-induced resonance, in which the time delay replaces one of the two periodic forcings present in the vibrational resonance. A discussion in terms of the time delay of the critical values of the forcing for which the delay-induced resonance can tame the dissipation effect is finally carried out. This article is part of the theme issue 'Vibrational and stochastic resonance in driven nonlinear systems (part 1)'.

2.
Phys Rev E ; 101(6-1): 062212, 2020 Jun.
Article in English | MEDLINE | ID: mdl-32688505

ABSTRACT

We use the Hénon-Heiles system as a paradigmatic model for chaotic scattering to study the Lorentz factor effects on its transient chaotic dynamics. In particular, we focus on how time dilation occurs within the scattering region by measuring the time with a clock attached to the particle. We observe that the several events of time dilation that the particle undergoes exhibit sensitivity to the initial conditions. However, the structure of the singularities appearing in the escape time function remains invariant under coordinate transformations. This occurs because the singularities are closely related to the chaotic saddle. We then demonstrate using a Cantor-like set approach that the fractal dimension of the escape time function is relativistic invariant. In order to verify this result, we compute by means of the uncertainty dimension algorithm the fractal dimensions of the escape time functions as measured with an inertial frame and a frame comoving with the particle. We conclude that, from a mathematical point of view, chaotic transient phenomena are equally predictable in any reference frame and that transient chaos is coordinate invariant.

3.
Appl Radiat Isot ; 134: 470-476, 2018 Apr.
Article in English | MEDLINE | ID: mdl-28838724

ABSTRACT

A methodology including software tools for analysing NORM building materials and residues by low-level gamma-ray spectrometry has been developed. It comprises deconvolution of gamma-ray spectra using the software GALEA with focus on the natural radionuclides and Monte Carlo simulations for efficiency and true coincidence summing corrections. The methodology has been tested on a range of building materials and validated against reference materials.

4.
Chaos ; 23(1): 013136, 2013 Mar.
Article in English | MEDLINE | ID: mdl-23556973

ABSTRACT

We report our investigation on the effect of multiple time-delay on vibrational resonance in a single Duffing oscillator and in a system of n Duffing oscillators coupled unidirectionally and driven by both a low- and a high-frequency periodic force. For the single oscillator, we obtain analytical expressions for the response amplitude Q and the amplitude g of the high-frequency force at which resonance occurs. The regions in parameter space of enhanced Q at resonance, as compared to the case in absence of time-delay, show a bands-like structure. For the two-coupled oscillators, we explain all the features of variation of Q with the control parameter g. For the system of n-coupled oscillators with a single time-delay coupling, the response amplitudes of the oscillators are shown to be independent of the time-delay. In the case of a multi time-delayed coupling, undamped signal propagation takes place for coupling strength (δ) above a certain critical value (denoted as δu). Moreover, the response amplitude approaches a limiting value QL with the oscillator number i. We obtain analytical expressions for both δu and QL.


Subject(s)
Nonlinear Dynamics , Periodicity , Computer Simulation , Equipment Design , Feedback , Numerical Analysis, Computer-Assisted , Oscillometry/instrumentation , Time Factors , Vibration
5.
Chaos ; 21(3): 033106, 2011 Sep.
Article in English | MEDLINE | ID: mdl-21974641

ABSTRACT

We investigate the role of multistable states on the occurrence of vibrational resonance in a periodic potential system driven by both a low-frequency and a high-frequency periodic force in both underdamped and overdamped limits. In both cases, when the amplitude of the high-frequency force is varied, the response amplitude at the low-frequency exhibits a series of resonance peaks and approaches a limiting value. Using a theoretical approach, we analyse the mechanism of multiresonance in terms of the resonant frequency and the stability of the equilibrium points of the equation of motion of the slow variable. In the overdamped system, the response amplitude is always higher than in the absence of the high-frequency force. However, in the underdamped system, this happens only if the low-frequency is less than 1. In the underdamped system, the response amplitude is maximum when the equilibrium point around which slow oscillations take place is maximally stable and minimum at the transcritical bifurcation. And in the overdamped system, it is maximum at the transcritical bifurcation and minimum when the associated equilibrium point is maximally stable. When the periodicity of the potential is truncated, the system displays only a few resonance peaks.

6.
Phys Rev E Stat Nonlin Soft Matter Phys ; 83(6 Pt 2): 066205, 2011 Jun.
Article in English | MEDLINE | ID: mdl-21797459

ABSTRACT

The influence of linear time-delayed feedback on vibrational resonance is investigated in underdamped and overdamped Duffing oscillators with double-well and single-well potentials driven by both low frequency and high frequency periodic forces. This task is performed through both theoretical approach and numerical simulation. Theoretically determined values of the amplitude of the high frequency force and the delay time at which resonance occurs are in very good agreement with the numerical simulation. A major consequence of time-delayed feedback is that it gives rise to a periodic or quasiperiodic pattern of vibrational resonance profile with respect to the time-delayed parameter. An appropriate time delay is shown to induce a resonance in an overdamped single-well system which is otherwise not possible. For a range of values of the time-delayed parameters, the response amplitude is found to be larger than in delay-time feedback-free systems.

7.
Philos Trans A Math Phys Eng Sci ; 369(1935): 371-95, 2011 Jan 28.
Article in English | MEDLINE | ID: mdl-21149378

ABSTRACT

Fractal structures appear in many situations related to the dynamics of conservative as well as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area-preserving discrete dynamical systems we can find fractal structures in the form of fractal boundaries, associated to escape basins, and even possessing the more general property of Wada. Such systems appear in certain applications in plasma physics, like the magnetic field line behaviour in tokamaks with ergodic limiters. The main purpose of this paper is to show how such fractal structures have observable consequences in terms of the transport properties in the plasma edge of tokamaks, some of which have been experimentally verified. We emphasize the role of the fractal structures in the understanding of mesoscale phenomena in plasmas, such as electromagnetic turbulence.

8.
Phys Rev E Stat Nonlin Soft Matter Phys ; 80(4 Pt 2): 046608, 2009 Oct.
Article in English | MEDLINE | ID: mdl-19905472

ABSTRACT

We analyze the occurrence of vibrational resonance in a damped quintic oscillator with three cases of single well of the potential V(x)=1/2omega(0)(2)x(2)+1/4betax(4)+1/6gammax(6) driven by both low-frequency force f cos omegat and high-frequency force g cos Omegat with Omega >> omega. We restrict our analysis to the parametric choices (i) omega(0)(2), beta, gamma > 0 (single well), (ii) omega(0)(2), gamma > 0, beta < 0, beta(2) < 4omega(0)(2)gamma (single well), and (iii) omega(0)(2) > 0, beta arbitrary, gamma < 0 (double-hump single well). From the approximate theoretical expression of response amplitude Q at the low-frequency omega we determine the values of omega and g (denoted as omega(VR) and g(VR)) at which vibrational resonance occurs. We show that for fixed values of the parameters of the system when omega is varied either resonance does not occur or it occurs only once. When the amplitude g is varied for the case of the potential with the parametric choice (i) at most one resonance occur while for the other two choices (ii) and (iii) multiple resonance occur. Further, g(VR) is found to be independent of the damping strength d while omega(VR) depends on d. The theoretical predictions are found to be in good agreement with the numerical result. We illustrate that the vibrational resonance can be characterized in terms of width of the orbit also.


Subject(s)
Models, Theoretical , Oscillometry/methods , Signal Processing, Computer-Assisted , Computer Simulation , Vibration
9.
Chaos ; 19(4): 043128, 2009 Dec.
Article in English | MEDLINE | ID: mdl-20059224

ABSTRACT

We consider a damped quintic oscillator with double-well and triple-well potentials driven by both low-frequency force f cos (omega)t and high-frequency force g cos (Omega)t with Omega>>omega and analyze the occurrence of vibrational resonance. The response consists of a slow motion with frequency omega and a fast motion with frequency Omega. We obtain an approximate analytical expression for the response amplitude Q at the low-frequency omega. From the analytical expression of Q, we determine the values of omega and g (denoted as omega(VR) and g(VR)) at which vibrational resonance occurs. The theoretical predictions are found to be in good agreement with numerical results. We show that for fixed values of the parameters of the system, as omega varies, resonance occurs at most one value of omega. When the amplitude g is varied we found two and four resonances in the system with double-well and triple-well cases, respectively. We present examples of resonance (i) without cross-well motion and (ii) with cross-well orbit far before and far after it. omega(VR) depends on the damping strength d while g(VR) is independent of d. Moreover, the effect of d is found to decrease the response amplitude Q.


Subject(s)
Algorithms , Models, Statistical , Nonlinear Dynamics , Oscillometry/methods , Computer Simulation , Stochastic Processes , Vibration
10.
Phys Rev E Stat Nonlin Soft Matter Phys ; 74(5 Pt 2): 056112, 2006 Nov.
Article in English | MEDLINE | ID: mdl-17279973

ABSTRACT

Through the last years, different strategies to enhance synchronization in complex networks have been proposed. In this work, we show that synchronization of nonidentical dynamical units that are attractively coupled in a small-world network is strongly improved by just making phase-repulsive a tiny fraction of the couplings. By a purely topological analysis that does not depend on the dynamical model, we link the emerging dynamical behavior with the structural properties of the sparsely coupled repulsive network.

11.
Phys Rev E Stat Nonlin Soft Matter Phys ; 71(1 Pt 2): 016219, 2005 Jan.
Article in English | MEDLINE | ID: mdl-15697710

ABSTRACT

The present paper considers crisis-induced intermittency in a system composed of two coupled logistic maps. Its purpose is to clarify a bifurcation scenario generating such intermittent behaviors that can be regarded as a simple example of chaotic itinerancy. The intermittent dynamics appears immediately after an attractor-merging crisis of two off-diagonal chaotic attractors in a symmetrically coupled system. The scenario for the crisis is investigated through analyses of sequential bifurcations leading to the two chaotic attractors and successive changes in basin structures with variation of a system parameter. The successive changes of the basins are also characterized by variation of a dimension of a fractal basin boundary. A numerical analysis shows that simultaneous contacts between the attractors and the fractal basin boundary bring about the crisis and a snap-back repeller generated at the crisis produces the intermittent transitions. Furthermore, a modified scenario for intermittent behaviors in an asymmetrically coupled system is also discussed.

12.
Phys Rev E Stat Nonlin Soft Matter Phys ; 70(3 Pt 2): 036208, 2004 Sep.
Article in English | MEDLINE | ID: mdl-15524613

ABSTRACT

We present a way of coupling two nonautonomous, periodically forced, chaotic C O2 lasers in a master-slave configuration in order to achieve complete synchronization. The method consists of modulating the forcing of the slave laser by means of the difference between the intensities of the two lasers, and lends itself to a simple physical implementation. Experimental evidence of complete synchronization induced by a suitable coupling strength is shown, and a numerical model is used to achieve further insight of the synchronization phenomena. Finally, we describe a possible application of the investigated technique to the design of a digital communication system.

13.
Phys Rev E Stat Nonlin Soft Matter Phys ; 67(6 Pt 2): 066119, 2003 Jun.
Article in English | MEDLINE | ID: mdl-16241316

ABSTRACT

We consider an overdamped bistable oscillator subject to the action of a biharmonic force with very different frequencies, and study the response of the system when the parameters of the high-frequency force are varied. A resonantlike behavior is obtained when the amplitude or the frequency of this force is modified in an experiment performed by means of an analog circuit. This behavior, confirmed by numerical simulations, is explained on the basis of a theoretical approach.

14.
Phys Rev E Stat Nonlin Soft Matter Phys ; 66(1 Pt 1): 011106, 2002 Jul.
Article in English | MEDLINE | ID: mdl-12241340

ABSTRACT

We report on the effect of vibrational resonance in a spatially extended system of coupled noisy oscillators under the action of two periodic forces, a low-frequency one (signal) and a high-frequency one (carrier). Vibrational resonance manifests itself in the fact that for optimally selected values of high-frequency force amplitude, the response of the system to a low-frequency signal is optimal. This phenomenon is a synthesis of two effects, a noise-induced phase transition leading to bistability, and a conventional vibrational resonance, resulting in the optimization of signal processing. Numerical simulations, which demonstrate this effect for an extended system, can be understood by means of a zero-dimensional "effective" model. The behavior of this "effective" model is also confirmed by an experimental realization of an electronic circuit.

15.
Phys Rev E Stat Nonlin Soft Matter Phys ; 64(6 Pt 2): 066208, 2001 Dec.
Article in English | MEDLINE | ID: mdl-11736269

ABSTRACT

The Hénon-Heiles Hamiltonian is investigated in the context of chaotic scattering, in the range of energies where escaping from the scattering region is possible. Special attention is paid to the analysis of the different nature of the orbits, and the the invariant sets, such as the stable and unstable manifolds and the chaotic saddle. Furthermore, a discussion on the average decay time associated to the typical chaotic transients, which are present in this problem, is presented. The main goal of this paper is to show, by using various computational methods, that the corresponding exit basins of this open Hamiltonian are not only fractal, but they also verify the more restrictive property of Wada. We argue that this property is verified by typical open Hamiltonian systems with three or more escapes.

16.
J Cell Biol ; 153(1): 207-20, 2001 Apr 02.
Article in English | MEDLINE | ID: mdl-11285286

ABSTRACT

Diacylglycerol kinase (DGK) is suggested to attenuate diacylglycerol-induced cell responses through the phosphorylation of this second messenger to phosphatidic acid. Here, we show that DGKalpha, an isoform highly expressed in T lymphocytes, translocates from cytosol to the plasma membrane in response to two different receptors known to elicit T cell activation responses: an ectopically expressed muscarinic type I receptor and the endogenous T cell receptor. Translocation in response to receptor stimulation is rapid, transient, and requires calcium and tyrosine kinase activation. DGKalpha-mediated phosphatidic acid generation allows dissociation of the enzyme from the plasma membrane and return to the cytosol, as demonstrated using a pharmacological inhibitor and a catalytically inactive version of the enzyme. The NH(2)-terminal domain of the protein is shown to be responsible for receptor-induced translocation and phosphatidic acid-mediated membrane dissociation. After examining induction of the T cell activation marker CD69 in cells expressing a constitutively active form of the enzyme, we present evidence of the negative regulation that DGKalpha exerts on diacylglycerol-derived cell responses. This study is the first to describe DGKalpha as an integral component of the signaling cascades that link plasma membrane receptors to nuclear responses.


Subject(s)
Diacylglycerol Kinase/physiology , Receptors, Muscarinic/metabolism , Signal Transduction/physiology , Animals , Antigens, CD/biosynthesis , Antigens, Differentiation, T-Lymphocyte/biosynthesis , Binding Sites , Biological Transport , Biomarkers , CD28 Antigens/metabolism , COS Cells , Carbachol/metabolism , Carbachol/pharmacology , Cell Membrane/metabolism , Chlorocebus aethiops , Cholinergic Agonists/metabolism , Cholinergic Agonists/pharmacology , Cross-Linking Reagents , Diacylglycerol Kinase/metabolism , Diglycerides/pharmacology , Green Fluorescent Proteins , Humans , Jurkat Cells , Lectins, C-Type , Luminescent Proteins , Lymphocyte Activation , Phosphatidic Acids/metabolism , Protein Isoforms/metabolism , Protein Isoforms/physiology , Protein-Tyrosine Kinases/antagonists & inhibitors , Protein-Tyrosine Kinases/metabolism , Receptor, Muscarinic M1 , Receptor-CD3 Complex, Antigen, T-Cell/metabolism , Receptors, Muscarinic/genetics , T-Lymphocytes/drug effects , T-Lymphocytes/metabolism
17.
Aten Primaria ; 26(1): 21-5, 2000 Jun 15.
Article in Spanish | MEDLINE | ID: mdl-10916896

ABSTRACT

OBJECTIVE: To find and compare the social and demographic features and health status of two different ethnic and cultural groups, gypsies and payos (non-gypsies). DESIGN: Observational, descriptive, crossover study. SETTING: Primary care. PARTICIPANTS: The 121 gypsy patients > 14 registered at the centre and 121 controls who were matched for age. INTERVENTIONS: Social and demographic variables, risk factors, chronic illnesses and involvement in preventive and health promotion programmes were gathered. MEASUREMENTS AND MAIN RESULTS: On the basis of a questionnaire that was filled out with data from the primary care health histories, we saw that there were significant differences in educational background, jobs and work situation (p < 0.0005). Among the gypsies there were more alcohol consumers, intravenous drug users and patients at social-health risk. Hb, Hc and HIV affected gypsies significantly more (the two groups were included in preventive programmes and activities). Mean age of death among gypsies was early (40.6 years vs. 73). Paradoxically, gypsies used private medicine more. CONCLUSIONS: There were significant social-health differences between the two groups studied. The gypsies on our health centre lists need greater care from the primary care team, so that they can achieve better health status.


Subject(s)
Health Status , Roma , Adolescent , Adult , Aged , Aged, 80 and over , Child , Chronic Disease , Cross-Sectional Studies , Family Characteristics , Humans , Middle Aged , Risk Factors , Socioeconomic Factors , Spain
18.
FEBS Lett ; 476(3): 160-5, 2000 Jul 07.
Article in English | MEDLINE | ID: mdl-10913605

ABSTRACT

Despite the fact that phosphatidic acid (PtdOH) has been implicated as a lipid second messenger for nearly a decade, its intracellular targets have remained unclear. We sought to investigate how an increase in the level of PtdOH could modulate phosphatidylinositol 4-phosphate 5-kinase (PIPkin), an enzyme involved in phosphatidylinositol 4,5-bisphosphate synthesis. Transfection of porcine aortic endothelial (PAE) cells with haemagglutinin (HA)-tagged type Ialpha PIPkin followed by immunofluorescence confocal microscopy revealed the enzyme to be localised to the plasma membrane. When the transfected PAE cells were stimulated with lyso-PtdOH, increased PIPkin activity was found to be associated with HA immunoprecipitates in an in vitro assay. This PIPkin activation was found to be greatly reduced by prior treatment of the cells with 1-butanol, thereby implicating phospholipase D (PLD) as the in vivo generator of PtdOH. In order to determine if the PtdOH-dependent activation of type Ialpha PIPkin was dictated by a specific molecular composition of PtdOH, the wild type murine and porcine alpha isoforms of diacylglycerol kinase (DGK) were individually co-transfected along with type Ialpha PIPkin. Under these conditions an increase in type Ialpha PIPkin lipid kinase activity was found in HA immunoprecipitates in an in vitro assay. No increases in lipid kinase activity were observed when type Ialpha PIPkin was co-transfected with either the human DGKepsilon isoform or a kinase-dead mutant of the murine DGKalpha isoform. These results provide the first direct evidence for the unification of the production of saturated/monounsaturated PtdOH (through two different routes, PLD and DGK) and the in vivo activation of type Ialpha PIPkin by this lipid second messenger.


Subject(s)
Phosphatidic Acids/metabolism , Phosphotransferases (Alcohol Group Acceptor)/metabolism , Animals , Cells, Cultured , Diacylglycerol Kinase/metabolism , Endothelium, Vascular/metabolism , Enzyme Activation , Humans , Intracellular Fluid/metabolism , Isoenzymes/genetics , Isoenzymes/metabolism , Mice , Phospholipase D/metabolism , Phosphotransferases (Alcohol Group Acceptor)/genetics , Recombinant Proteins/genetics , Recombinant Proteins/metabolism , Second Messenger Systems , Swine , Transfection
19.
Aten. prim. (Barc., Ed. impr.) ; 26(1): 21-25, jun. 2000.
Article in Es | IBECS | ID: ibc-4225

ABSTRACT

Objetivo. Conocer y comparar las características sociodemográficas y el estado de salud de 2 grupos étnicos y culturales distintos (payos y gitanos). Diseño. Estudio observacional, descriptivo, transversal. Emplazamiento. Atención primaria. Participantes. Los 121 pacientes de cultura gitana mayores de 14 años adscritos al centro y 121 controles apareados por edad. Intervenciones. Se recogieron variables sociodemográficas, factores de riesgo, enfermedades crónicas y adscripción a programas preventivos y de promoción de la salud. Mediciones y resultados principales. A partir de un cuestionario que se rellenó con datos de las historias de salud de atención primaria, vimos que había diferencias significativas en cuanto al nivel de instrucción, profesión y situación laboral (p < 0,0005). Había mayor número de consumidores de alcohol, de tóxicos vía parenteral y superior número de pacientes con riesgo sociosanitario entre los gitanos. VHB, VHC y VIH inciden significativamente más sobre los gitanos (ambos grupos incluidos en programas y actividades preventivas). Se detecta una temprana edad media de muerte en la población gitana (40,6 años frente a 73,3 entre los payos). Paradójicamente, se da una mayor utilización de la medicina privada entre los gitanos. Conclusiones. Existen diferencias sociosanitarias significativas entre ambos grupos estudiados. La población gitana de nuestro centro de salud requiere mayor atención por parte del equipo de atención primaria, para conseguir un mejor estado de salud en este grupo (AU)


Subject(s)
Middle Aged , Child , Adult , Adolescent , Aged , Aged, 80 and over , Humans , Health Status , Roma , Spain , Risk Factors , Socioeconomic Factors , Chronic Disease , Cross-Sectional Studies , Family Characteristics
20.
J Immunol ; 163(2): 708-14, 1999 Jul 15.
Article in English | MEDLINE | ID: mdl-10395661

ABSTRACT

Stimulation via IL-2R ligation causes T lymphocytes to transit through the cell cycle. Previous experiments by our group have demonstrated that, in human T cells, IL-2 binding induces phosphatidic acid production through activation of the alpha isoform of diacylglycerol kinase. In this study, using the IL-2-dependent mouse T cell line CTLL-2, we demonstrate that pharmacological inhibition of IL-2-induced diacylglycerol kinase activation is found to block IL-2-induced late G1 to S transition without affecting cell viability. Herein, we demonstrate that diacylglycerol kinase inhibition has a profound effect on the induction of the protooncogenes c-myc, c-fos, and c-raf by IL-2, whereas expression of bcl-2 and bcl-xL are not affected. When the IL-2-regulated cell cycle control checkpoints are examined in detail, we demonstrate that inhibition of diacylglycerol kinase activation prevents IL-2 induction of cyclin D3 without affecting p27 down-regulation. The strict control of cell proliferation exerted by phosphatidic acid through activation of diacylglycerol kinase is independent of other well-characterized IL-2R-derived signals, such as the phosphatidylinositol-3 kinase/Akt pathway, indicating the existence of a different and important mechanism to control cell division.


Subject(s)
Cell Cycle Proteins , Diacylglycerol Kinase/antagonists & inhibitors , G1 Phase/immunology , Interleukin-2/physiology , Phosphatidylinositol 3-Kinases/physiology , Protein Serine-Threonine Kinases , S Phase/immunology , T-Lymphocytes, Cytotoxic/enzymology , Tumor Suppressor Proteins , Animals , Cell Cycle/drug effects , Cell Cycle/immunology , Cell Line , Culture Media, Serum-Free , Cyclin D3 , Cyclin-Dependent Kinase Inhibitor p27 , Cyclins/metabolism , Diacylglycerol Kinase/metabolism , Enzyme Activation/drug effects , Enzyme Activation/immunology , Enzyme Inhibitors/pharmacology , G1 Phase/drug effects , Gene Expression Regulation/drug effects , Gene Expression Regulation/immunology , Interleukin-4/antagonists & inhibitors , Interleukin-4/physiology , Mice , Microtubule-Associated Proteins/metabolism , Phosphatidylinositol 3-Kinases/metabolism , Piperidines/pharmacology , Proto-Oncogene Proteins/metabolism , Proto-Oncogene Proteins c-akt , Proto-Oncogenes/drug effects , Proto-Oncogenes/immunology , Quinazolines/pharmacology , Quinazolinones , Retinoblastoma Protein/metabolism , S Phase/drug effects , T-Lymphocytes, Cytotoxic/cytology , T-Lymphocytes, Cytotoxic/drug effects , T-Lymphocytes, Cytotoxic/metabolism
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