We present the results of numerical and experimental studies of the elastic enhancement factorW for microwave rough and rectangular cavities simulating two-dimensional chaotic and partially chaotic quantum billiards in the presence of moderate absorption. We show that for the frequency range ν = 15.0−18.5 GHz, in which the coupling between antennas and the system is strong enough, the values of...

We study the motion of a charged particle in a tokamak magnetic field and discuss its chaotic nature. Contrary to most of recent studies, we do not make any assumption on any constant of the motion and solve numerically the cyclotron gyration using Hamiltonian formalism. We take advantage of a symplectic integrator allowing us to make long-time simulations. First considering an idealized magnet...

In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...

We fabricated an analog integrated circuit (IC) that implements the Lotka–Volterra (LV) chaotic oscillator presented by Mimura and Kan-on [1986]. The LV system describes periodic or chaotic behaviors in prey–predator systems in simple mathematical form, and is suitable for analog IC implementation [Asai et al., 2003]. The proposed circuit consists of a small number of metaloxide-semiconductor f...

The key factor enabling control of the weather is that the atmosphere is sensitive to small perturbations. That is, it is the very instability of the atmosphere’s dynamics that makes global weather control a possibility. The Earth’s atmosphere may be chaotic, and very likely is very sensitive to small perturbations. Certainly very simple nonlinear dynamical models of the atmosphere are chaotic,...

We investigate the shot noise for phase-coherent quantum transport in the chaotic-to-regular crossover regime. Employing the modular recursive Green's function method for both ballistic and disordered two-dimensional cavities, we find the Fano factor and the transmission eigenvalue distribution for regular systems to be surprisingly similar to those for chaotic systems. We argue that, in the ca...

Statistical and localization properties of dipole eigenmodes ~plasmons! of fractal and random nonfractal clusters are investigated. The problem is mathematically equivalent to the quantum-mechanical eigenproblem for vector ~spin-1! particles with a dipolar hopping amplitude in the same cluster. In fractal clusters, individual eigenmodes are singular on the small scale and their intensity strong...

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown that projective synchronization can also exist in coupled fractional order chaotic systems. A simple feedback control method for controlling the scaling factor ...

To understand the relationship between brain structure and behavior in the general movements of fetuses and infants from a complex systems perspective, we investigated how behaviors emerge from interactions between complex networks of nonlinear oscillators and musculoskeletal bodies. We prepared a snake-like robot and some network structures in a physical simulator. The various conditions impos...