We demonstrate the influence of vectorial coupling on the synchronization behavior of complex systems. We study two semiconductor lasers subject to delayed optical feedback which are unidirectionally coherently coupled via their optical fields. Our experimental and numerical results demonstrate a characteristic synchronization scenario in dependence on the relative feedback phase leading cyclic...

In this paper, the problem of controlling for sudden occurrence of chaos (SOC) is considered. SOC is completely different from the three routes from regular motion to chaos.We prove that this new kind of chaos can be controlled. Furthermore, according to its specific characteristic, SOC is precisely controlled to different s-cycle through predictive control. Its efficacy is demonstrated via num...

This introduction to the special issue, Nonlinear dynamics in meso and nano scales: fundamental aspects and applications, gives a short overview about different contexts and current challenges posed by the emergence of nonlinearities at meso and nano characteristic sizes. It also addresses different aspects related to classical and quantum chaos. Moreover, it comments on the articles in this th...

Interrelations between dynamical and statistical laws in physics, on the one hand, and between the classical and quantum mechanics, on the other hand, are discussed with emphasis on the new phenomenon of dynamical chaos. The principal results of the studies into chaos in classical mechanics are presented in some detail, including the strong local instability and robustness of the motion, contin...

Deterministic chaos has an intriguing characteristic that definite deterministic dynamics produces erratic and long-term unpredictable behavior [1], [2]. Understanding of deterministic chaos has greatly progressed in the past 25 years, although the possibility of chaotic dynamics was demonstrated mathematically at least 100 years ago by Hadamard and Poincaré [3]. It is now well known that chaot...

We study Lyapunov vectors (LVs) corresponding to the largest Lyapunov exponents in systems with spatiotemporal chaos. We focus on characteristic LVs and compare the results with backward LVs obtained via successive Gram-Schmidt orthonormalizations. Systems of a very different nature such as coupled-map lattices and the (continuous-time) Lorenz '96 model exhibit the same features in quantitative...

The Dramatica Theory was developed by Melanie Anne Phillips and Chris Huntley and was not researched nor based upon any other theories of story design or analysis. Trademarks Dramatica is a registered trademark of Screenplay Systems Incorporated. Dramatica's terminology has its own grammar with structures, designations , and usages which are reflected in the vocabulary listings. The individual ...

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...

In this paper a modified transcendental equation is proposed, and we analyzed its chaotic characteristics and periodic. It is a simple non-linear mode, l but it has complex dynam ics.Then it was used in gray image encryption. This is a digital image encryption algorithm, dual scrambling that based on chaos of pixel position and pixel value.Compared with the traditional transcendental equation, ...