Antiphase dynamics of a chaotic multimode laser

Antiphase dynamics of an optically pumped NH3 bidirectional ring laser under the chaotic, phase-sensitive mode coupling is experimentally observed. Our experimental result suggests strongly that the dynamics is a generic behavior of the laser.

Control of chaotic motion in a dual-spin spacecraft with nutational damping

Control of chaotic vibrations in a dual-spin spacecraft with an axial nutational damper is achieved using two techniques. The control methods are implemented on two realistic spacecraft parameter configurations that have been found to exhibit chaotic instability when a sinusoidally varying torque is applied to the spacecraft for a range of forcing amplitudes and frequencies. Such a torque, in practice, may arise under malfunction of the control system or from an unbalanced rotor. Chaotic instabilities arising from these torques could introduce uncertainties and irregularities into a spacecraft's attitude motion and, consequently, could have disastrous effects on its operation. The two control methods, recursive proportional feedback and continuous delayed feedback, are recently developed techniques for control of chaotic motion in dynamic systems. Each technique is outlined and the effectiveness on this model compared and contrasted. Numerical simulations are performed, and the results are studied by means of time history, phase space, Poincare map, Lyapunov characteristic exponents, and bifurcation diagrams.

Control of chaotic instability in a dual-spin spacecraft with dissipation using energy methods

Control of chaotic instability in a rotating multibody system in the form of a dual-spin spacecraft with an axial nutational damper is achieved using an algorithm derived using energy methods. The control method is implemented on two realistic spacecraft parameter configurations which have been found to exhibit chaotic instability when a sinusoidally varying torque is applied to the spacecraft for a range of forcing amplitudes and frequencies. Such a torque, in practice, may arise under malfunction of the control system or from an unbalanced rotor. Chaotic instabilities arising from these torques could introduce uncertainties and irregularities into a spacecraft's attitude and consequently impair pointing accuracy. The control method is formulated from nutational stability results derived using an energy sink approximation for a dual-spin spacecraft with an asymmetric platform and axisymmetric rotor. The effectiveness of the control method is shown numerically and the results are studied by means of time history, phase space, Poincare map, Lyapunov characteristic exponents and Bifurcation diagrams.

Control of chaotic instabilities in a spinning spacecraft with dissipation using Lyapunov's method

Control of chaotic instability in a simplified model of a spinning spacecraft with dissipation is achieved using an algorithm derived using Lyapunov's second method. The control method is implemented on a realistic spacecraft parameter configuration which has been found to exhibit chaotic instability for a range of forcing amplitudes and frequencies when a sinusoidally varying torque is applied to the spacecraft. Such a torque, may arise in practice from an unbalanced rotor or from vibrations in appendages. Numerical simulations are performed and the results are studied by means of time history, phase space, Poincare map, Lyapunov characteristic exponents and bifurcation diagrams. (C) 2002 Elsevier Science Ltd. All rights reserved.

Strong and weak Allee effects and chaotic dynamics in Richards' growths

In this paper we define and investigate generalized Richards' growth models with strong and weak Allee effects and no Allee effect. We prove the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, depending on the implicit conditions, which involve the several parameters considered in the models. New classes of functions describing the existence or not of Allee effect are introduced, a new dynamical approach to Richards' populational growth equation is established. These families of generalized Richards' functions are proportional to the right hand side of the generalized Richards' growth models proposed. Subclasses of strong and weak Allee functions and functions with no Allee effect are characterized. The study of their bifurcation structure is presented in detail, this analysis is done based on the configurations of bifurcation curves and symbolic dynamics techniques. Generically, the dynamics of these functions are classified in the following types: extinction, semi-stability, stability, period doubling, chaos, chaotic semistability and essential extinction. We obtain conditions on the parameter plane for the existence of a weak Allee effect region related to the appearance of cusp points. To support our results, we present fold and flip bifurcations curves and numerical simulations of several bifurcation diagrams.

Comments on ‘‘Modeling fractional stochastic systems as non-random fractional dynamics driven Brownian motions

Applied Mathematical Modelling, Vol.33

Chaotic Phenomena and Performance Optimization in the Trajectory Control of Redundant Manipulators

Redundant manipulators have some advantages when compared with classical arms because they allow the trajectory optimization, both on the free space and on the presence of abstacles, and the resolution of singularities. For this type of manipulators, several kinetic algorithms adopt generalized inverse matrices. In this line of thought, the generalized inverse control scheme is tested through several experiments that reveal the difficulties that often arise. Motivated by theseproblems this paper presents a new method that ptimizes the manipulability through a least squre polynomialapproximation to determine the joints positions. Moreover, the article studies influence on the dynamics, when controlling redundant and hyper-redundant manipulators. The experiment confirm the superior performance of the proposed algorithm for redundant and hyper-redundant manipulators, revealing several fundamental properties of the chaotic phenomena, and gives a deeper insight towards the future development of superior trajectory control algorithms.

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?

Chaotic dynamics in credit constrained emerging economies

This paper analyzes the role of financial development as a source of endogenous instability in small open economies. By assuming that firms face credit constraints, our model displays a complex dynamic behavior for intermediate values of the parameter representing the level of financial development of the economy. The basic implication of our model is that economies experiencing a process of financial development are more unstable than both very underdeveloped and very developed economies. Our instability concept means that small shocks have a persistent effect on the long run behavior of the model and also that economies can exhibit cycles with a very high period or even chaotic dynamic patterns.

Comment comprendre les émotions morales

Cet article a pour objet de questionner la possibilité de l'existence des émotions morales et d'en déchiffrer la notion. Je commence par relever brièvement les faiblesses de différentes lectures philosophiques des émotions morales avant de poursuivre sur une voie à première vue prometteuse qui consiste à en fournir une explication fonctionnaliste évolutionnaire : les émotions morales auraient pour fonction évolutive de soutenir les relations sociales coopératives. Après analyse, il apparaît cependant que cette approche présente également d'importantes faiblesses. En fin de compte, je propose d'abandonner l'idée d'émotion intrinsèquement morale au profit d'une solution «minimale» : la «moralité» est une appellation attribuée aux émotions (ou plus justement aux épisodes émotionnels) lorsqu'elles apparaissent dans des contextes moralement pertinents.

Les émotions des professionnels dans les réseaux

Ce texte présente une réflexion sur les émotions et résonances émotionnelles dans les réseaux qui réunissent des praticiens de différentes institutions autour des patients qui fréquentent les Hôpitaux de Jour. La question des émotions autour des patients dans le cadre des synthèses internes à une institution est relativement bien connue sous l'angle des transferts et contre-transferts et des questions sur la dynamique de groupe (Anzieu: Le groupe et l'inconscient). Nous tentons ici d'élargir la réflexion aux pratiques en réseaux de plus en plus fréquentes mais encore peu pensées et codifiées.

Secondarisation des émotions et apprentissages dans des activités "interculturelles" en classe

Des représentations contradictoires coexistent aujourd'hui au sein de l'école concernant la place à octroyer aux émotions et aux expériences personnelles des élèves. Cette tension est ravivée par l'importance accordée à ce qu'on appelle l'éducation en vue du développement durable (EDD) qui cherche à fournir aux élèves des outils pour comprendre et se situer activement dans les grands défis que connaissent les sociétés actuelles. Les questions évoquées dans le cadre de ces enseignements relèvent de différents domaines de connaissances (sciences sociales et sciences naturelles, éthique, philosophie) et amènent à l'élaboration de compétences - comme celles de participer à des prises de décision collectives - ou le développement de valeurs telles que la responsabilité et le partage. Ces compétences à développer impliquent souvent des activités pédagogiques dans lesquelles les élèves sont amenés à évoquer leurs expériences personnelles et leurs propres opinions et émotions. Dans le cadre d'une approche sociohistorique du développement et de l'apprentissage, nous prendrons comme point de départ l'idée selon laquelle les émotions consistent en un ensemble de processus historiquement et culturellement situés et médiatisés, qui tout comme la pensée, passent d'un plan interpsychique à un plan intrapsychique (Vygotsky, 1987/1930). Dans la continuité des travaux de Vygotski nous examinerons le processus de « socialisation » des émotions au sein d'interactions didactiques, et analyserons dans quelle mesure ce processus est inséré dans la dynamique de construction de connaissances.