We carry out a detailed bifurcation analysis for a common class of electrostatically driven nanowires in a multiphysics model. A finding is that the nanoscale system can exhibit distinct chaotic states: chaos with symmetry breaking and extensive chaos possessing the full symmetry of the system. Potential applications such as nanoscale random number generator and controlling extensive chaos to a...

Nowadays there is no universally accepted definition of quantum chaos. In this paper we review and critically discuss different approaches to the subject, such as Quantum Chaology and the Random Matrix Theory. Then we analyze the problem of dynamical chaos and the time scales associated with chaos suppression in quantum mechanics. PACS Numbers: 05.45.+b, 03.65.Bz

The presence of chaos and quantum chaos is shown in two different nuclear systems. We analyze the chaotic behaviour of the classical SU(2) Yang–Mills– Higgs system, and then we study quantum chaos in the nuclear shell model calculating the spectral statistics of A = 46–50 atomic nuclei.

In this paper, we study the influence of quantum effects to chaotic dynamics, especially the influence of Pauli effect and dynamical symmetry breaking to dynamical chaos. We apply the semiquantal theory to the Sp(6) fermion symmetry model in nuclear collective motion. We demonstrate that quantum chaos appear when dynamical symmetry is broken. We further find that the dynamical Pauli effect enha...

This paper presents anti-synchronization of chaos between two different chaotic systems using active control method. The proposed technique is applied to achieve chaos antisynchronization for the Lü and Rössler dynamical systems. Numerical simulations are implemented to verify the results. Keywords—Active control, Anti-Synchronization, Chaos, Lü system, Rössler system.

Chaos could occur anytime in agriculture sector, and that some occurences will be predictable and some will not, so it needs early warning system that could detect early chaotic conditions and take action for crisis recovery.This research was aimed to design early warning system for tapioca agroindustry with the chaos existence test. The methodology in this research we investigate the existence...

– We generalize the concept of geometrical resonance to perturbed sine-Gordon, Nonlinear Schrödinger and Complex Ginzburg-Landau equations. Using this theory we can control different dynamical patterns. For instance, we can stabilize breathers and oscillatory patterns of large amplitudes successfully avoiding chaos. On the other hand, this method can be used to suppress spatiotemporal chaos and...

Classical Hamiltonian systems with a mixed phase space and some asymmetry may exhibit chaotic ratchet effects. The most significant such effect is a directed momentum current or acceleration. In known model systems, this effect may arise only for sufficiently strong chaos. In this paper, a Hamiltonian ratchet accelerator is introduced, featuring a momentum current for arbitrarily weak chaos. Th...

Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is generated naturally in the wake of invasive waves of predators. We discuss in detail the mechanism by...

This paper studies basic dynamics from a novel pulse-coupled network (PCN). The unit element of the PCN is an integrate-and-fire circuit (IFC) that exhibits chaos. We an give an iff condition for the chaos generation. Using two IFC, we construct a master-slave PCN. It exhibits interesting chaos synchronous phenomena and their breakdown phenomena. We give basic classification of the phenomena an...