Enhancing dynamical signatures of complex systems through symbolic computation.
نویسندگان
چکیده
1Department of Biomedical Sciences for Health, University of Milan, Milan, Italy 2IRCCS Galeazzi Orthopedic Institute, Milan, Italy 3School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, South Australia, Australia 4Integrated Curriculum for Anthroposophic Medicine, and 5Institute of Integrative Medicine, University of Witten/Herdecke, Witten, Germany 6Department of Physics, Humboldt-Universität zu Berlin, Berlin, Germany
منابع مشابه
Dynamical Insight into Structure 1 Running head: DYNAMICAL INSIGHT INTO STRUCTURE IN CONNECTIONIST MODELS Dynamical Insight into Structure in Connectionist Models
I discuss a connectionist model, based on Elman’s (1990, 1991) Simple Recurrent Network, of the acquisition of complex syntactic structure. While not intended as a detailed model of the process children go through in acquiring natural languages, the model helps clarify concepts that may be useful for understanding the development of complex abilities. It provides evidence that connectionist lea...
متن کاملDynamical Systems Theory for Transparent Symbolic Computation in Neuronal Networks
Giovanni Sirio Carmantini Dynamical Systems Theory for Transparent Symbolic Computation in Neuronal Networks In this thesis, we explore the interface between symbolic and dynamical system computation, with particular regard to dynamical system models of neuronal networks. In doing so, we adhere to a definition of computation as the physical realization of a formal system, where we say that a dy...
متن کاملSynchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control
In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory.The complex dynamical systems consist of m nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probabili...
متن کاملA Symbolic Algorithm for the Computation of Periodic Orbits in Non–Linear Differential Systems
The Poincaré–Lindstedt method in perturbation theory is used to compute periodic solutions in perturbed differential equations through a nearby periodic orbit of the unperturbed problem. The adaptation of this technique to systems of differential equations of first order could produce meaningful advances in the qualitative analysis of many dynamical systems. In this paper, we present a new symb...
متن کاملSymbolic computation of limit cycles associated with Hilbert’s 16th problem
This paper is concerned with the practical complexity of the symbolic computation of limit cycles associated with Hilbert’s 16th problem. In particular, in determining the number of small-amplitude limit cycles of a non-linear dynamical system, one often faces computing the focus values of Hopf-type critical points and solving lengthy coupled polynomial equations. These computations must be car...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
دوره 373 2034 شماره
صفحات -
تاریخ انتشار 2015