The polarization magnetization effects associated with the dynamical reduction leading to the nonlinear gyrokinetic Vlasov–Maxwell equations are shown to introduce nonlinear finite-Larmor-radius FLR effects into a set of nonlinear reduced-fluid equations previously derived by the Lagrangian variational method A. J. Brizard, Phys. Plasmas 12, 092302 2005 . These intrinsically nonlinear FLR effec...

This paper considers the problem of a nonlinear H∞ design for a laboratory twin rotor system. This mechanical device features a highly nonlinear strongly coupled dynamics, which constitutes a challenge for many classical linear control techniques. The approach presented in this paper considers a nonlinear H∞ disturbance rejection procedure on the reduced dynamics of the rotors, including integr...

This paper works on the concept of flatness and its practical application for the design of an optimal transient controller in a synchronous machine. The feedback linearization scheme of interest requires the generation of a flat output from which the feedback control law can easily be designed. Thus the computation of the flat output for reduced order model of the synchronous machine with simp...

Behavioral dynamics is a framework for understanding adaptive behavior as arising from the self-organizing interaction between animal and environment. The methods of nonlinear dynamics provide a language for describing behavior that is both stable and flexible. Behavioral dynamics has been criticized for ignoring the animal's sensitivity to its own capabilities, leading to the development of an...

Most of the methods to date on bilateral control of nonlinear teleoperation systems lead to nonlinear and coupled closed-loop dynamics even in the ideal case of perfect knowledge of the master, the slave, the human operator and the environment. Consequently, the transparency of these closed-loop systems is difficult to study. In comparison, inverse dynamics controllers can deal with the nonline...

Unknown input observers (UIOs) are observers that have stable error dynamics that are independent of unknown inputs. This paper studies such observers for nonlinear systems, and shows that the error dynamics for a nonlinear UIO has the same structure as the error dynamics of a nonlinear observer without unknown inputs. This result is first used to provide synthesis inequalities for UIOs for a c...

We study the initial instability of flat sand surface and further nonlinear dynamics of wind ripples. The proposed continuous model of ripple formation allowed us to simulate the development of a typical asymmetric ripple shape and the evolution of a sand ripple pattern. We suggest that this evolution occurs via ripple merger preceded by several soliton-like interaction of ripples.

Excitable dynamics of a neuron generates dynamical phenomena with various attractors, which include deterministic chaos and multistability [1, 2]. A neural network composed of neurons with such excitable dynamics also produces much more interesting and richer nonlinear dynamics with spatio– temporal structure of spikes [3, 4]. In this talk, I consider nonlinear dynamics with spatio–temporal spi...

The dynamics of a system composed of two nonlinearly coupled, drastically different nonlinear and eventually oscillatory elements is studied. The rich variety of attractors of the system is studied with the help of phase space analysis and Poincare maps. PACS. 05.45.-a Nonlinear dynamics and nonlinear dynamical systems