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Tytuł:
Homoclinic Chaos in Generalized Henon-Heiles System
Autorzy:
Kasperczuk, S.
Powiązania:
https://bibliotekanauki.pl/articles/1943893.pdf
Data publikacji:
1995-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
This paper considers the generalized Henon-Heiles system, defined by the Hamiltonian Η = (p$\text{}_{1}^{2}$ + p$\text{}_{2}^{2}$ + Αq$\text{}_{1}^{2}$ + Bq$\text{}_{2}^{2}$)/2 + Cq$\text{}_{1}^{2}$q$\text{}_{2}$ + Dq$\text{}_{2}^{3}$. Melnikov's method is used to prove the existence of nondegenerate homoclinic orbits near two integrable cases: (o) C = 0; A, B, D arbitrary; (i) A = B; C = 3D. The existence of such orbits precludes the existence of analytic second integrals.
Źródło:
Acta Physica Polonica A; 1995, 88, 6; 1073-1080
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Turbulence in the One-Dimensional Complex Ginzburg-Landau Equation
Autorzy:
Zubrzycki, A.
Powiązania:
https://bibliotekanauki.pl/articles/1933422.pdf
Data publikacji:
1995-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
The transition to phase and amplitude turbulent states in the one-dimensional complex Ginzburg-Landau equation is investigated by a numerical simulation. In order to describe existing attractors quantitatively, the largest Lyapunov exponent is estimated. The largest Lyapunov exponent is positive but small for the phase turbulence and it is much larger for the amplitude turbulence. Moreover, it seems independent on the system size.
Źródło:
Acta Physica Polonica A; 1995, 87, 6; 925-932
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Autocorrelation Function and Mutual Information from Short Experimental Time Series
Autorzy:
Zduniak, A.
Łusakowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/1932093.pdf
Data publikacji:
1995-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
A nonlinear dynamics of self-generated current oscillations in semi-insulating GaAs was studied by the reconstruction of an attractor from a short (14500 points) time series. Two methods of choosing of a time constant (τ) for this reconstruction are compared. One of them assumes τ to be an argument of the first zero of the autocorrelation function and the other takes τ as an argument of the first minimum of the mutual information. It is shown that for periodic oscillations both methods are equivalent, but for chaotic ones only the mutual information gives a time constant which does not depend on a time series used for calculations.
Źródło:
Acta Physica Polonica A; 1995, 87, 1; 257-260
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Peano Dynamics as a Model for Turbulence and Strange Nonchaotic Behaviour
Autorzy:
El Naschie, M.
Powiązania:
https://bibliotekanauki.pl/articles/1887906.pdf
Data publikacji:
1991-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
The note outlines a scenario for a two-dimensional dynamic system to possess strange nonchaotic behaviour in the presence of two frequency quasi periodic forcing. Implications for turbulence are also discussed.
Źródło:
Acta Physica Polonica A; 1991, 80, 1; 3-13
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quantum Implications of Ray Splitting
Autorzy:
Blümel, R.
Powiązania:
https://bibliotekanauki.pl/articles/1968499.pdf
Data publikacji:
1998-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
Ray splitting is a universal phenomenon that occurs in all wave systems with sharp interfaces. Quantum implications of ray splitting are: (i) the importance of non-Newtonian orbits for the density of states in the semiclassical limit, (ii) ray-splitting corrections to the average density of states and (iii) the need to include non-Newtonian orbits in trace formulas for the oscillating part of the density of states. The signatures of non-Newtonian orbits in the density of states have recently been identified experimentally.
Źródło:
Acta Physica Polonica A; 1998, 93, 1; 7-10
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spatio-Temporal Dynamics of Chain of Coupled Impact Pendulums
Autorzy:
Stępień, R.
Kosiński, R. A.
Powiązania:
https://bibliotekanauki.pl/articles/1964195.pdf
Data publikacji:
1997-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
A chain of N, one-dimensional, impact pendulums is investigated using numerical solutions of equations of motion. Ranges of periodic, mixed and chaotic motion are found using spatio-temporal diagrams. A correlation function and power spectrum density functions are calculated for these digitized diagrams. Influence of the coupling strength k and the number of pendulums N on the dynamics of the system is discussed.
Źródło:
Acta Physica Polonica A; 1997, 91, 6; 1053-1059
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spatial Inhomogeneity of Periodic and Chaotic Attractors of a Driven Damped Nonlinear Schrödinger Equation
Autorzy:
Zubrzycki, A.
Powiązania:
https://bibliotekanauki.pl/articles/1943890.pdf
Data publikacji:
1995-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
The driven damped nonlinear Schrödinger equation is solved numerically and different attractors - periodic and chaotic ones - are obtained for different ranges of the forcing field amplitude. It is shown that these attractors are in both cases spatially nonuniform in time. Spatial inhomogeneity of the chaotic attractor is investigated by the estimation of the correlation dimension at different space points.
Źródło:
Acta Physica Polonica A; 1995, 88, 6; 1067-1072
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Time-Delay Reconstruction Method for Examination of Spatial Inhomogeneity of Dynamical Systems
Autorzy:
Zubrzycki, A.
Sukiennicki, A.
Powiązania:
https://bibliotekanauki.pl/articles/1964193.pdf
Data publikacji:
1997-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
Opis:
Three spatially extended one-dimensional dynamical systems are examined by numerical simulations and the time-delay technique is applied to find their dynamics at different positions in space. On the basis of this technique the correlation dimension is calculated from time series obtained at different positions. It is found that the value of the correlation dimension may vary from one position to another, reflecting the spatial inhomogeneity of the system.
Źródło:
Acta Physica Polonica A; 1997, 91, 6; 1043-1052
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic Resonance in System with On-Off Intermittency
Autorzy:
Krawiecki, A.
Powiązania:
https://bibliotekanauki.pl/articles/1968461.pdf
Data publikacji:
1997-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
05.40.+j
Opis:
Stochastic resonance in a chaotic threshold-crossing system exhibiting on-off intermittency and attractor bubbling: the logistic map with the control parameter varying randomly or chaotically in time is studied in the case of weak additive and multiplicative periodic forcing. In both cases signal-to-noise ratio shows dependence on the forcing frequency; in the case of multiplicative forcing this dependence appears even for very small frequencies. It is shown that this is a result of a very long characteristic time scale, typical of systems with on-off intermittency.
Źródło:
Acta Physica Polonica A; 1997, 92, 6; 1101-1108
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Classical Paths and Semiclassical Ghosts
Autorzy:
Haake, F.
Powiązania:
https://bibliotekanauki.pl/articles/1931270.pdf
Data publikacji:
1994-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Sq
05.45.+b
Opis:
The semiclassical approximation for the quantum propagator of the kicked top is shown to involve not only classical periodic orbits but also complex generalizations thereof. Such ghost trajectories have complex actions S and thus contribute exponentially small terms as ħ → O. However, close to bifurcations ImS can be very small whereupon ghosts become quite visible.
Źródło:
Acta Physica Polonica A; 1994, 85, 4; 693-698
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractal Dimensions from Chaotic Oscillations in Semi-Insulating GaAs
Autorzy:
Zduniak, A.
Łusakowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/1929673.pdf
Data publikacji:
1993-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
72.20.Ht
Opis:
Relaxation and domain current oscillations in undoped semi-insulating GaAs were observed at room temperature for a broad range of voltage applied to a sample. The oscillations were characterized by a reconstruction of an attractor of the system. An analysis of the attractor helped to discriminate between the two likes of oscillations. A transition from one like of oscillations to the other was connected with a chaotization of the current. A chaotic state of the system was analyzed by calculations of fractal dimensions D$\text{}_{q}$ for -0.6 < g < 40 and the f(α) function.
Źródło:
Acta Physica Polonica A; 1993, 84, 3; 575-578
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Electrons in Quantum Chaos State in Doped Fullerene Crystal
Autorzy:
Koper, A.
Mucha, M.
Powiązania:
https://bibliotekanauki.pl/articles/2012904.pdf
Data publikacji:
2000-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
61.48.+c
Opis:
We show that band electrons in A$\text{}_{n}$C$\text{}_{60}$ crystal (C$\text{}_{60}$ fullerene doped with alkali ions A) are in highly chaotic quantum state. We describe intensity of the chaos by means of the Shannon information entropy, which we calculate using single particle Bloch functions. The entropy provides a quantitative measure of scars as well as degree of electrons delocalization in gaps between C$\text{}_{60}$ molecules. Implications of our results for conductivity in A$\text{}_{3}$C$\text{}_{60}$ are discussed.
Źródło:
Acta Physica Polonica A; 2000, 97, 1; 229-232
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Regular and Chaotic Behaviour of a Kicked Damped Spin
Autorzy:
Hołyst, J.
Sukiennicki, A.
Powiązania:
https://bibliotekanauki.pl/articles/1920483.pdf
Data publikacji:
1992-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.+b
75.10.Hk
Opis:
The dynamics of a kicked, anisotropic, damped spin is reduced to a two-dimensional map. This map exhibits such features as bifurcation diagrams, regular or chaotic attractors/repellors and intermittent-like transitions between two strange attractors. With increase of damping a transition from chaos to the fixed point attractor occurs. On the contrary to the Hamiltonian case the type of magnetic anisotropy plays a crucial role for damped models.
Źródło:
Acta Physica Polonica A; 1992, 81, 3; 353-360
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non Saturation of Energy in a Quantum Kicked Oscillator
Autorzy:
Daly, M. V.
Hefernan, D. M.
Powiązania:
https://bibliotekanauki.pl/articles/1945399.pdf
Data publikacji:
1996-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.-w
05.45.+b
Opis:
We present a quantum mapping for the kicked harmonic oscillator which relates the probability amplitudes of the undriven oscillator's eigenfunctions over successive kicks. We show how for various kick strengths the wave functions have a linear energy increase up to the limit imposed by the finite matrix size of the evolution matrix. We use this linear energy increase to define a quantum diffusion-like coefficient. We also show how this increase in energy causes the wave functions to spread out and become diffuse with little or no discernible structure. This model may serve as a paradigm for the study of quantum chaos.
Źródło:
Acta Physica Polonica A; 1996, 89, 5-6; 571-580
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Polarization Dependence of Microwave "ionization" of Excited Hydrogen Atoms
Autorzy:
Koch, P. M.
Powiązania:
https://bibliotekanauki.pl/articles/1968532.pdf
Data publikacji:
1998-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
32.80.Rm
05.45.+b
42.50.Hz
Opis:
After a brief review of the ionization of excited hydrogen atoms by a linearly polarized field, we discuss experimental results for the polarization dependence of this process. Experiments at ω/2π = 9.904 GHz used two different ranges of principal quantum number n$\text{}_{0}$ between 29 and 98. At low scaled frequencies, Ω ≲ 0.1, ionization data for certain narrow ranges of n$\text{}_{0}$ exhibit striking sensitivity to fields with elliptical polarization not too far from circular polarization. Classical calculations reproduce this behavior and show it to be the result of 2ω driving terms that appear when the Hamiltonian is transformed to a frame rotating at ω. It shows how higher-dimensional dynamics can influence the ionization and be used to control it when the polarization departs from linear or circular polarization. At higher scaled frequencies, 0.6 ≲ Ω$\text{}_{0}$ ≲ 1.4, near the onset of ionization circularly and elliptically polarized data show surprising similarities with linearly polarized data in a parameter regime where the ionization dynamics is dominated by the influence of the pendulumlike resonance zone centered at scaled frequency n$\text{}_{0}^{3}$ω ≡ Ω$\text{}_{0}$ = 1. The stabilizing influence of this zone can be understood classically, but nonclassical stability associated with quantal separatrix states at its edge is a semiclassical effect.
Źródło:
Acta Physica Polonica A; 1998, 93, 1; 105-133
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 27

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