Quantum dynamics of integrable systems is discussed. Localized wave packets generalizing the conventional coherent states of minimal uncertainty are constructed. The wave packet moves along a certain trajectory and does not change its shape for times of order 1 h̄ . In this Letter we suggest that the definition of a coherent state should be related to the Hamiltonian.The conventional coherent st...

This paper suggests a procedure for estimating excursion probabilities for linear and non-linear systems subjected to Gaussian excitation processes. In this paper, the focus is on non-linear systems which might also have stochastic properties. The approach is based on the so called “averaged excursion probability flow” which allows for a simple solution for the interaction in excursion problems...

We discuss the origins and recent advances of the vast field of non-linear dynamics and complex systems. The main aspects of complex systems are illustrated with relevant examples and the connection with non-linear dynamics and chaos is presented. Since this is a truly interdisciplinary field of research, many applications in mathematics, physics, chemistry, biology and physiology are briefly c...

This study investigates the impact of innovation on users of an evolving Information Systems (IS) product. Building on two different streams of research, Levitts (1980) Total Product Concept and the Three Factor theory (Kano. 1984) this study identifies three types of innovation: Basic, Expected and Augmented. The impact of introducing these innovations on user satisfaction was found to be depe...

AbstractThe paper involves thorough study of non-linear vibratory oscillators and numerical methodology to analyse and resolute the non-linear dynamical world. The study involves the analysis of non-linear oscillators like the Van der Pol Oscillator and Duffing Oscillator. Application of regular perturbation method in the oscillator is also demonstrated. The equilibrium and stability analysis o...

We present a framework to integrate the presentation and manipulation of several techniques for the interactive visualization of dynamical systems. The framework is inspired by the CAD metaphor and the “probes” metaphor. We present some examples and finally address some problematic

In this paper, the authors study chaos synchronization of chaotic systems, which can exhibit a two scroll attractor for different parameter values via linear feedback control. First, chaos synchronization of three dimensional systems is studied and ‘generalized non-linear dynamical systems’ are analyzed. The considered synchronization criterion consists of identical drive and response systems c...

1 Baskent University, Ankara, 06810 Turkey; phone: (+90)3122341010/1220; fax: (+90)3122341051 E-mail: [email protected] (corresponding author) 2 Baskent University, Ankara, 06810 Turkey; phone: (+90)3122341010/1790; fax: (+90)3122341179 E-mail: [email protected] 3 Ankara University, Computer Engineering Department, Ankara, 06500 Turkey; phone: (+90)3123800026/162 E-mail: [email protected]...