Temat: 05.45.Pq - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: A Simulation Research on Chaotic Behavior of Parabolic and Elliptic Underwater Acoustic Ray Equations
Autorzy:: Li, S
Li, X
Tematy:: 43.30.+m
05.45.Pq; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1400284.pdf Link otwiera się w nowym oknie
Opis:: The chaotic behavior of underwater ray system is studied. Because the parabolic equation is an approximation under small ray angle with respect to horizontal, the elliptic equation system is considered here besides the parabolic system. We pay main attention to the interval of large ray angle. A comparison between these two forms of system is performed. We find that when the ray angle is not large (θ_0=0° - 18°), the two systems show the same qualitative behavior. However, in interval of large ray angle (θ_0 ≥ 19°), if the perturbation strength is not very small, e.g. δ=0.05, the parabolic system shows regular motion, while the elliptic system exhibits chaotic behavior in most of this interval except a few quasiperiodic islands studded in the chaotic ocean. Dynamical behaviors of the two systems show surprising difference.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Transitions to Chaos and Chaos Synchronization for Solitons in the Presence of Spatially Inhomogeneous Forces
Autorzy:: Fronczak, P.
Hołyst, J. A.
Tematy:: 05.45.Pq
05.45.Yv; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/2030484.pdf Link otwiera się w nowym oknie
Opis:: Motion of kink solitons in the φ$\text{}^{4}$ model in the presence of external spatially inhomogeneous forces is studied. Depending on the system parameters various routes to chaos, i.e. Feigenbaum's scenario, type-I intermittency, and chaos-chaos intermittency are observed. Synchronization of chaotic solitons is investigated.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Controlling Chaos in Damped and Driven Morse Oscillator via Slave-Master Feedback
Autorzy:: Behnia, S.
Akhshani, A.
Panahi, M.
Asadi, R.
Tematy:: 05.45.-a
05.45.Gg
05.45.Pq; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1400187.pdf Link otwiera się w nowym oknie
Opis:: The dynamical behavior of the Morse oscillator is investigated primarily by means of the Lyapunov exponent and bifurcation diagrams. Then, the problem of controlling chaos for this oscillator is studied using a new method introduced by Behnia and Akhshani, which is based on the construction of slave-master feedback. In the control model based on slave-master feedback, the oscillator as the slave system is coupled with a dynamical system as the master, so its implementation becomes quite simple and similar statements can be made for the high dimensional cases. The validity of this method is verified by numerical simulations. The obtained results show the effectiveness of the proposed control model.
Dostawca treści:: Biblioteka Nauki

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na półce

Skocz do pozycji: 4.

Tytuł:: Route to Chaos in Generalized Logistic Map
Autorzy:: Rak, R.
Rak, E.
Tematy:: 05.45.-a
05.45.Pq
05.45.Gg; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1388178.pdf Link otwiera się w nowym oknie
Opis:: We postulate a generalization of well-known logistic map to open the possibility of optimization the modelling process of the population evolution. For proposed generalized equation we illustrate the character of the transition from regularity to chaos for the whole spectrum of model parameters. As an example we consider specific cases for both periodic and chaotic regime. We focus on the character of the corresponding bifurcation sequence and on the quantitative nature of the resulting attractor as well as its universal attribute (Feigenbaum constant).
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Characteristics of Complexity in Selected Economic Models in the Light of Nonlinear Dynamics
Autorzy:: Jakimowicz, A.
Tematy:: 89.65.Gh
05.45.Pq
05.45.-a
89.75.-k; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1400172.pdf Link otwiera się w nowym oknie
Opis:: The catastrophe theory and deterministic chaos constitute the basic elements of economic complexity. Elementary catastrophes were the first remarkable form of nonlinear, topological complexity that were thoroughly studied in economics. Another type of catastrophe is the complexity catastrophe, namely an increase in the complexity of a system beyond a certain threshold which marks the beginning of a decrease in a system's adaptive capacity. As far as the ability to survive is concerned, complex adaptive systems should function within the range of optimal complexity which is neither too low or too high. Deterministic chaos and other types of complexity follow from the catastrophe theory. In general, chaos is seemingly random behavior of a deterministic system which stems from its high sensitivity to the initial condition. The theory of nonlinear dynamical systems, which unites various manifestations of complexity into one integrated system, runs contrary to the assumption that markets and economies spontaneously strive for a state of equilibrium. The opposite applies: their complexity seems to grow due to the influence of classical economic laws.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Application of Ultrafast Schottky Diodes to High Megahertz Chaotic Oscillators
Autorzy:: Mykolaitis, G.
Tamaševičius, A.
Bumelienė, S.
Namajūnas, A.
Pyragas, K.
Pyragas, V.
Tematy:: 05.45.Ac
05.45.Pq
05.45.-a
47.52.+j; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1179720.pdf Link otwiera się w nowym oknie
Opis:: The considered chaotic oscillator consists of an amplifier, 2nd order LC resonator, Schottky diode and an extra capacitor in parallel to the diode. The diode plays the role of a nonlinear device. Chaotic oscillations are demonstrated numerically and experimentally at low as well as at high megahertz frequencies, up to 250 MHz.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Fast Chaos with Slow p-n Junction Diodes
Autorzy:: Mykolaitis, G.
Tamaševičiūtė, E.
Miškinis, R.
Bumelienė, S.
Tamaševičius, A.
Tematy:: 05.45.Ac
05.45.Pq
05.45.Gg
85.30.Kk; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1813384.pdf Link otwiera się w nowym oknie
Opis:: We demonstrate both experimentally and numerically that slow recovery p -n junction diodes can be exploited to generate chaos at high megahertz frequencies. An extremely simple resonator consisting of an inductor in parallel with a diode when externally periodically driven exhibits chaotic response.
Dostawca treści:: Biblioteka Nauki

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na półce

Skocz do pozycji: 8.

Tytuł:: Random Unitary Matrices Associated to a Graph
Autorzy:: Kondratiuk, P.
Życzkowski, K.
Tematy:: 02.10.Yn
03.65.Aa
03.67.Mn
05.45.Mt
05.45.Pq; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1399055.pdf Link otwiera się w nowym oknie
Opis:: We analyze composed quantum systems consisting of k subsystems, each described by states in the n-}dimensional Hilbert space. Interaction between subsystems can be represented by a graph, with vertices corresponding to individual subsystems and edges denoting a generic interaction, modeled by random unitary matrices of order $n^2$. The global evolution operator is represented by a unitary matrix of size N = n^{k}. We investigate statistical properties of such matrices and show that they display spectral properties characteristic to the Haar random unitary matrices provided the corresponding graph is connected. Thus basing on random unitary matrices of a small size n^2 one can construct a fair approximation of large random unitary matrices of size $n^{k}$. Graph-structured random unitary matrices investigated here allow one to define the corresponding structured ensembles of random pure states.
Dostawca treści:: Biblioteka Nauki

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na półce

Skocz do pozycji: 9.

Tytuł:: B-Spline Solution and the Chaotic Dynamics of Troeschs Problem
Autorzy:: Caglar, H.
Caglar, N.
Ozer, M.
Tematy:: 05.45.Pq
02.60.-x
02.60.Lj; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1291812.pdf Link otwiera się w nowym oknie
Opis:: A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions of Troesch's problem as they were derived by the decomposition method approximation are examined and an approximate critical value for the parameter λ is introduced also in this study. For the parameter value slightly less than λ ≈ 2.2, the solutions begin to show successive bifurcations, finally entering chaotic regimes at higher λ values. The effectiveness and accuracy of the B-spline method is verified for different values of the parameter, below its critical value, where the first bifurcation occurs.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Criticality Characteristics of Current Oil Price Dynamics
Autorzy:: Drożdż, S.
Kwapień, J.
Oświęcimka, P.
Tematy:: 05.45.Pq
52.35.Mw
47.20.Ky; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Powiązania:: https://bibliotekanauki.pl/articles/1812033.pdf Link otwiera się w nowym oknie
Opis:: Methodology that recently leads us to predict to an amazing accuracy the date (July 11, 2008) of reverse of the oil price up trend is briefly summarized and some further aspects of the related oil price dynamics elaborated. This methodology is based on the concept of discrete scale invariance whose finance-prediction-oriented variant involves such elements as log-periodic self-similarity, the universal preferred scaling factor λ≈2, and allows a phenomenon of the "super-bubble". From this perspective the present (as of August 22, 2008) violent - but still log-periodically decelerating - decrease of the oil prices is associated with the decay of such a "super-bubble" that has started developing about one year ago on top of the longer-term oil price increasing phase (normal bubble) whose ultimate termination is evaluated to occur in around mid 2010.
Dostawca treści:: Biblioteka Nauki

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