1. Encyclopedia of complexity and systems scienceslovar, enciklopedija, leksikon, priročnik, atlas, zemljevid Opis: Encyclopedia of Complexity and Systems Science provides an authoritative single source for understanding and applying the concepts of complexity theory together with the tools and measures for analyzing complex systems in all fields of science and engineering. The science and tools of complexity and systems science include theories of selforganization, complex systems, synergetics, dynamical systems, turbulence, catastrophes, instabilities, nonlinearity, stochastic processes, chaos, neural networks, cellular automata, adaptive systems, and genetic algorithms. Examples of nearterm problems and major unknowns that can be approached through complexity and systems science include: The structure, history and future of the universe; the biological basis of consciousness; the integration of genomics, proteomics and bioinformatics as systems biology; human longevity limits; the limits of computing; sustainability of life on earth; predictability, dynamics and extent of earthquakes, hurricanes, tsunamis, and other natural disasters; the dynamics of turbulent flows; lasers or fluids in physics, microprocessor design; macromolecular assembly in chemistry and biophysics; brain functions in cognitive neuroscience; climate change; ecosystem management; traffic management; and business cycles. All these seemingly quite different kinds of structure formation have a number of important features and underlying structures in common. These deep structural similarities can be exploited to transfer analytical methods and understanding from one field to another. This unique work will extend the influence of complexity and system science to a much wider audience than has been possible to date. Ključne besede: cellular automata, complex networks, computational nanoscience, ecological complexity, ergodic theory, fractals, game theory, granular computing, graph theory, intelligent systems, perturbation theory, quantum information science, system dynamics, traffic management, chaos, climate modelling, complex systems, dynamical sistems, fuzzy theory systems, nonlinear systems, soft computing, stochastic processes, synergetics, selforganization, systems biology, systems science Objavljeno: 01.06.2012; Ogledov: 1585; Prenosov: 79 Povezava na celotno besedilo 
2. Effects of smallworld connectivity on noiseinduced temporal and spatial order in neural mediaMatjaž Perc, 2006, izvirni znanstveni članek Opis: We present an overview of possible effects of smallworld connectivity on noiseinduced temporal and spatial order in a twodimensional network of excitable neural media with FitzHughNagumo local dynamics. Smallworld networks are characterized by a given fraction of socalled longrange couplings or shortcut links that connect distant units of the system, while all other units are coupled in a diffusivelike manner. Interestingly, already a small fraction of these longrange couplings can have wideranging effects on the temporal as well as spatial noiseinduced dynamics of the system. Here we present two main effects. First, we show that the temporal order, characterized by the autocorrelation of a firingrate function, can be greatly enhanced by the introduction of smallworld connectivity, whereby the effect increases with the increasing fraction of introduced shortcut links. Second, we show that the introduction of longrange couplings induces disorderof otherwise ordered, spiralwavelike, noiseinduced patterns that can be observed by exclusive diffusive connectivity of spatial units. Thereby, already a small fraction of shortcut links is sufficient to destroy coherent pattern formation in the media. Although the two results seem contradictive, we provide an explanation considering the inherent scalefree nature of smallworld networks, which on one hand, facilitates signal transduction and thus temporal order in the system, whilst on the other hand, disrupts the internal spatial scale of the media thereby hindering the existence of coherent wavelike patterns. Additionally, the importance of spatially versus temporally ordered neural network functioning is discussed. Ključne besede: physics, complex systems, dynamical systems, noise, chaos, chaotic systems, chaos control, resonance Objavljeno: 07.06.2012; Ogledov: 1161; Prenosov: 58 Povezava na celotno besedilo 
3. Spatial coherence resonance in neuronal media with discrete local dynamicsMatjaž Perc, 2006, izvirni znanstveni članek Opis: We study effects of spatiotemporal additive noise on the spatial dynamics of excitable neuronal media that is locally modelled by a twodimensional map. We focus on the ability of noise to enhance a particular spatial frequency of the media in a resonant manner. We show that there exists an optimal noise intensity for which the inherent spatial periodicity of the media is resonantly pronounced, thus marking the existence of spatial coherence resonance in the studied system. Additionally, results are discussed in view of their possible biological importance. Ključne besede: physics, complex systems, dynamical systems, noise, spatial dynamics, chaos, chaotic systems, chaos control, resonance Objavljeno: 07.06.2012; Ogledov: 1401; Prenosov: 79 Povezava na celotno besedilo 
4. Fluctuating excitability : a mechanism for selfsustained information flow in excitable arraysMatjaž Perc, 2007, izvirni znanstveni članek Opis: We show that the fluctuating excitability of FitzHughNagumo neurons, constituting a diffusively coupled excitable array, can induce phase slips that lead to a symmetry break yielding a preferred spreading direction of excitatory events, thus enabling persistent selfsustained and selforganized information flow in a periodic array long after a localized stimulus perturbation has sized. Possible oscillation frequencies of the informationcarrying signal are expressed analytically, and necessary conditions for the phenomenon are derived. Our results suggest that cellular diversity in neural tissue is crucial for maintaining selfsustained and organized activity in the brain even in the absence of immediate stimuli, thus facilitating continuous evolution of its mechanisms for information retrieval and storage. Ključne besede: physics, complex systems, dynamical systems, flexibility, chaos, chaotic systems, oscillations, perturbation Objavljeno: 07.06.2012; Ogledov: 1216; Prenosov: 61 Povezava na celotno besedilo 
5. Singing of Neoconocephalus robustus as an example of deterministic chaos in insectsTina P. Benko, Matjaž Perc, 2007, izvirni znanstveni članek Opis: We use nonlinear time series analysis methods to analyse the dynamics of the soundproducing apparatus of the katydid Neoconocephalus robustus. We capture the dynamics by analysing a recording of the singing activity. First, we reconstruct the phase space from the sound recording and test it against determinism and stationarity. After confirming determinism and stationarity, we show that the maximal Lyapunov exponent of the series is positive, which is a strong indicator for the chaotic behaviour of the system. We discuss that methods of nonlinear time series analysis can yield instructive insights and foster the understanding of acoustic communication among insects. Ključne besede: chaotic systems, chaos, time series, time series analyses, insect sounds, katydid Objavljeno: 07.06.2012; Ogledov: 1126; Prenosov: 247 Celotno besedilo (1,05 MB) Gradivo ima več datotek! Več...

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7. Statistical Properties of Timedependent SystemsDiego Fregolente Mendes De Oliveira, 2012, doktorska disertacija Opis: In the dissertation I have dealt with timedependent (nonautonomous) systems,
the conservative (Hamiltonian) as well as dissipative, and investigated their dynamical
and statistical properties. In conservative (Hamiltonian) timedependent systems the
energy is not conserved, whilst the Liouville theorem about the conservation of the phase
space volume still applies. We are interested to know, whether the system can gain
energy, and whether this energy can grow unbounded, up to infinity, and we are
interested in the system's behaviour in the mean, as well as its statistical
properties. An example of such a system goes back to the 1940s, when Fermi proposed
the acceleration of cosmic rays (in the first place protons) upon the collisions
with moving magnetic domains in the interstellar medium of our Galaxy,
and in other galaxies. He then proposed a simple mechanical onedimensional model,
the socalled FermiUlam Model (FUM), where a point particle is moving between two
rigid walls, one being at rest and the other one oscillating. If the oscillation
is periodic and smooth, it turned out in a nontrivial way, which is, in the
modern era of understanding the chaotic dynamical systems, well understood,
namely that the unbounded increasing of the energy (the socalled Fermi
acceleration) is not possible, due to the barriers in form of invariant tori,
which partition the phase space into regions, between which the transitions are
not possible. The research has then been extended to other simple dyanamical
systems, which have complex dynamics. The first was socalled bouncer model,
in which a point particle bounces off the oscillating platform in a gravitational
field. In this simple system the Fermi acceleration is possible. Later
the research was directed towards twodimensional billiard systems. It turned
out that the Fermi acceleration is possible in all such systems, which are at least
partially chaotic (of the mixed type), or even in a system that is integrable
as static, namely in case of the elliptic billiard. (The circle billiard
is an exception, because it is always integrable, as the angular momentum
is conserved even in timedependent case.) The study of timedependent systems
has developed strongly worldwide around the 1990s, in particular in 2000s,
and became one of the central topics in nonlinear dynamics. It turned out,
quite generally, but formal and implicit, in the sense of mathematical
existence theorems, that in nonautonomous Hamilton systems the energy can
grow unbounded, meaning that the system ``pumps" the energy from the environment
with which it interacts. There are many open questions: how does the energy
increase with time, in particular in the mean of some representative ensemble
of initial conditions (typically the phase space of twodimensional timedependent
billiards is fourdimensional.) It turned out that almost everywhere the power laws
apply, empirically, based on the numerical calculations, but with various
acceleration exponents. If the Fermi acceleration is not posssible, like e.g.
in the FUM, due to the invariant tori, then after a certain time of acceleration
stage the crossover into the regime of saturation takes place, whose
characteristics also follow the power laws. One of the central themes in
the dissertation is the study of these power laws, their critical exponents,
analytical relationships among them, using the scaling analysis
(Leonel, McClintock and Silva, Phys. Rev. Lett. 2004). Furthermore, the central
theme is the question, what happens, if, in a nonautonomous Hamilton system
which exhibits Fermi acceleration, we introduce dissipation, either
at the collisions with the walls (collisional dissipation) or
during the free motion (inflight dissipation, due to the viscosity
of the fluid or the drag force etc.). Dissipation typically transforms
the periodic points into point attractors and chaotic components into
chaotic attractors. The Fermi acceleration is always suppressed.
We are interested in the phase portraits of Ključne besede: nonlinear dynamics, dynamical systems, conservative and dissipative
systems, timedependent systems, Fermi acceleration, billiards, kicked systems, chaos, chaotic and periodic attractors, bifurcations, boundary crisis Objavljeno: 19.09.2012; Ogledov: 2052; Prenosov: 88 Celotno besedilo (16,09 MB) 
8. Cooperation out of noiseMatjaž Perc, 2007, prispevek na konferenci brez natisa Ključne besede: hrup, intenziteta hrupa, dilema zapornika, kaos, nelinearni dinamični sistemi, noise, spatiotemporal noise, intensity, prisoner's dilemma, chaos, nonlinear dynamic systems Objavljeno: 10.07.2015; Ogledov: 588; Prenosov: 15 Povezava na celotno besedilo 
9. Evolution under alliancespecific cyclical invasion ratesMatjaž Perc, 2007, prispevek na konferenci brez natisa Ključne besede: hrup, intenziteta hrupa, dilema zapornika, kaos, nelinearni dinamični sistemi, noise, spatiotemporal noise, intensity, prisoner's dilemma, chaos, nonlinear dynamic systems Objavljeno: 10.07.2015; Ogledov: 582; Prenosov: 16 Povezava na celotno besedilo 
10. Applying chaos theory to lesson planning and deliverySlavko Cvetek, 2007, objavljeni znanstveni prispevek na konferenci Ključne besede: vzgoja in izobraževanje, izobraževanje učiteljev, pouk tujega jezika, načrtovanje pouka, teorija kaosa, education, teacher training, foreign language learning, lesson planning, chaos theory Objavljeno: 10.07.2015; Ogledov: 1319; Prenosov: 78 Povezava na celotno besedilo 