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Chaotic Dynamics papers — page 67

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The Limits of Mathematics---Course Outline and Software
A remarkable new definition of a self-delimiting universal Turing machine is presented that is easy to program and runs very quickly. This provides a new foundation for algorithmic information…
G. J. ChaitinDec 12, 1993
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Noise-Induced Linearisation and Delinearisation
It is demonstrated, by means of analogue electronic simulation and theoretically, that external noise can markedly change the character of the response of a nonlinear system to a low-frequency…
MI Dykman, DG Luchinsky, R Mannella et al.Dec 9, 1993
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Self-Similarity of Friction Laws
The change of the friction law from a mesoscopic level to a macroscopic level is studied in the spring-block models introduced by Burridge-Knopoff. We find that the Coulomb law is always scale…
Maria de Sousa Vieira, Hans J. HerrmannDec 6, 1993
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Transport Properties of the Lorentz Gas in Terms of Periodic Orbits
We establish a formula relating global diffusion in a space periodic dynamical system to cycles in the elementary cell which tiles the space under translations.
P. Cvitanović, J. -P. Eckmann, P. GaspardDec 5, 1993
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Effect of a magnetic flux line on the quantum beats in the Hénon-Heiles level density
The quantum density of states of the Hénon-Heiles potential displays a pronounced beating pattern. This has been explained by the interference of three isolated classical periodic orbits with nearby…
M. Brack, R. K. Bhaduri, J. Law et al.Dec 3, 1993
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Universality in fully developed turbulence
We extend the numerical simulations of She et al. [Phys.\ Rev.\ Lett.\ 70, 3251 (1993)] of highly turbulent flow with 15 Taylor-Reynolds number Reλ 200 up to Reλ≈ 45000,…
Siegfried Grossmann, Detlef LohseDec 3, 1993
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The Great Inequality In A Hamiltonian Planetary Theory
The Jupiter-Saturn 2:5 near-commensurability is analyzed in a fully analytic Hamiltonian planetary theory. Computations for the Sun-Jupiter-Saturn system, extending to the third order of the masses…
F. Varadi, M. Ghil, W. M. Kaula et al.Nov 30, 1993
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Classical and Quantum Chaos from Continuous Quantum Measurements
The method of restricted path integrals allows one to effectively consider continuous (prolonged in time) measurements of quantum systems. Monitoring of the system coordinates is such a continuous…
Michael MenskyNov 25, 1993
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Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian System
Coexistence of various ordered chaotic states in a Hamiltonian system is studied with the use of a symplectic coupled map lattice. Besides the clustered states for the attractive interaction, a novel…
Kunihiko KANEKO, Tetsuro KONISHINov 25, 1993
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Relevance of Dynamic Clustering to Biological Networks
Network of nonlinear dynamical elements often show clustering of synchronization by chaotic instability. Relevance of the clustering to ecological, immune, neural, and cellular networks is discussed,…
Kunihiko KanekoNov 25, 1993
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Probability distributions for multicomponent systems with multiplicative noise
Linear systems with many degrees of freedom containing multiplicative and additive noise are considered. The steady state probability distribution for equations of this kind is examined. With…
J. M. DeutschNov 20, 1993
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Hamiltonian Maps and Transport in Structured Fluids
Structures such as waves, jets, and vortices have a dramatic impact on the transport properties of a flow. Passive tracer transport in incompressible two-dimensional flows is described by Hamiltonian…
Jeffrey B. WeissNov 20, 1993
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Probability distributions for one component equations with multiplicative noise
Systems described by equations involving both multiplicative and additive noise are common in nature. Examples include convection of a passive scalar field, polymersin turbulent flow, and noise in…
J. M. DeutschNov 20, 1993
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An Entire Spectral Determinant for Semiclassical Quantization
We show that the eigenvalues of the first order partial differential equation derived by quasi-classical approximation of the Schrödinger equation can be computed from the trace of a classical…
Gabor VattayNov 19, 1993
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Correspondence in Quasiperiodic and Chaotic Maps: Quantization via the von Neumann Equation
A generalized approach to the quantization of a large class of maps on a torus, i.e. quantization via the von Neumann Equation, is described and a number of issues related to the quantization of…
Joshua Wilkie, Paul BrumerNov 16, 1993
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Spatial Variation of Correlation Times for 1D Phase Turbulence
For one-dimensional phase-turbulent solutions of the Kuramoto-Sivashinsky equation with rigid boundary conditions, we show that there is a substantial variation of the correlation time~τc(x) with…
David A. Egolf, Henry S. GreensideNov 11, 1993
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Characteristic Representation of Elementary Cellular Automata
We propose a characteristic representation ofone-dimensional and 2-state, 3-neighbor cellular automaton rules, which describes an effective form of each rule after many time steps. Simulated results…
Y. Kayama, H. Anada, Y. Imamura et al.Nov 6, 1993
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Tunneling And The Onset Of Chaos In A Driven Bistable System
We study the interplay between coherent transport by tunneling and diffusive transport through classically chaotic phase-space regions, as it is reflected in the Floquet spectrum of the periodically…
R. Utermann, T. Dittrich, P. HanggiOct 28, 1993
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Billiards correlation functions
We discuss various experiments on the time decay of velocity autocorrelation functions in billiards. We perform new experiments and find results which are compatible with an exponential mixing…
Garrido Pedro, Gallavotti GiovanniOct 27, 1993
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Chaotic, regular and unbounded behaviour in the elastic impact oscillator
A discontinuous area-preserving mapping derived from a sinusoidally-forced impacting system is studied. This system, the elastic impact oscillator, is very closely related to the accelerator models…
Harbir LambaOct 27, 1993
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Truncated horseshoes and formal languages in chaotic scattering
In this paper we study parameter families of truncated horseshoes as models of multiscattering systems which show a transition to chaos without losing hyperbolicity, so that the topological features…
G. TrollOct 22, 1993
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Non recursive proof of the KAM theorem
A selfcontained proof of the KAM theorem in the Thirring model is discussed, completely relaxing the ``strong diophantine property'' hypothesis used in previous papers. Keywords: KAM,…
Giovanni Gallavotti, Guido GentileOct 14, 1993
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Regular unimodal systems and factors of finite automata
Dynamical systems at the edge of chaos, which have been considered as models of self-organization phenomena, are marked by their ability to perform nontrivial computations. To distinguish them from…
Petr KurkaOct 11, 1993
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Entropy and Long range correlations in literary English
Recently long range correlations were detected in nucleotide sequences and in human writings by several authors. We undertake here a systematic investigation of two books, Moby Dick by H. Melville…
Werner Ebeling, Thorsten PöschelSep 16, 1993
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Semi-Quantum Chaos
We consider a system in which a classical oscillator is interacting with a purely quantum mechanical oscillator, described by the Lagrangian $ L = 12 x2 + 12 A2 -…
Fred Cooper, John Dawson, Dawn Meredith et al.Sep 13, 1993
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