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Chaotic Dynamics papers — page 63

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Braid analysis of chaos
The (forced) periodic orbit spectrum is calculated for a chaotic time series (BZ reaction).
Nicholas B. TufillaroNov 12, 1994
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Braid analysis of a bouncing ball
Prunning front is calculated for a bouncing ball system and the results are compared to a braid analysis. To Appear in Physical Review E.
Nicholas B. TufillaroNov 12, 1994
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Linear And Nonlinear Mechanisms Of Information Propagation
The mechanisms of information transmission are investigated in a lattice of coupled continuous maps, by analyzing the propagation of both finite and infinitesimal disturbances. Two distinct regimes…
Antonio Politi, Alessandro TorciniNov 10, 1994
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A generating partition for the standard map
A procedure to obtain the symbolic dynamics for conservative dynamical systems is introduced with reference to the standard map in a strongly chaotic regime. The method extends an approach previously…
Freddy Christiansen, Antonio Politi, Istituto Nazionale di Ottica et al.Nov 9, 1994
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Semiquantum Chaos and the Large N Expansion
We consider the dynamical system consisting of a quantum degree of freedom A interacting with N quantum oscillators described by the Lagrangian L = 1 2A2 + Σi=1N…
Fred Cooper, John Dawson, Salman Habib et al.Nov 8, 1994
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M-furcations in coupled maps
We study the scaling behavior of M-furcation (M\!=\!2, 3, 4,…) sequences of Mn-period (n=1,2,…) orbits in two coupled one-dimensional (1D) maps. Using a renormalization method, how…
Sang-Yoon KimNov 6, 1994
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Critical behavior of period doubling in coupled area-preserving maps
We study the critical behavior of period doublings in N symmetrically coupled area-preserving maps for many-coupled cases with N>3. It is found that the critical scaling behaviors depend on the…
Sang-Yoon KimNov 6, 1994
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Long-wave models of thin film fluid dynamics
Centre manifold techniques are used to derive rationally a description of the dynamics of thin films of fluid. The derived model is based on the free-surface η(x,t) and the vertically averaged…
A. J. RobertsNov 4, 1994
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Bifurcations of homoclinic orbits in bimodal maps
We discuss the bifurcation structure of homoclinic orbits in bimodal one dimensional maps. The universal structure of these bifurcations with singular bifurcation points and the web of bifurcation…
Kai T. HansenNov 3, 1994
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Computation of Lie Transformations from a Power Series: Bounds and Optimum Truncation
The problem considered is the computation of an infinite product (composition) of Lie transformations generated by homogeneous polynomials of increasing order from a given convergent power series.…
Ivan GjajaNov 3, 1994
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Origin of Crack Tip Instabilities
This paper demonstrates that rapid fracture of ideal brittle lattices naturally involves phenomena long seen in experiment, but which have been hard to understand from a continuum point of view.…
Michael Marder, Steve GrossNov 2, 1994
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Topics in chaotic dynamics
Various kinematical quantities associated with the statistical properties of dynamical systems are examined: statistics of the motion, dynamical bases and Lyapunov exponents. Markov partitons for…
G. GallavottiOct 30, 1994
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Dynamical Ensembles in Nonequilibrium Statistical Mechanics
Ruelle's principle for turbulence leading to what is usually called the Sinai-Ruelle-Bowen distribution (SRB) is applied to the statistical mechanics of many particle systems in nonequilibrium…
G. Gallavotti, E. G. D. CohenOct 30, 1994
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The Breakdown of Dynamic Scaling and Intermittency in a Cascade Model of Turbulence
We present an analytic and numerical analysis of the Gledzer-Ohkitani-Yamada (GOY) cascade model for turbulence. We concentrate on the dynamic correlations, and demonstrate both numerically and…
Omri Gat, Itamar Procaccia, Reuven ZeitakOct 25, 1994
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Passive Scalars and Three-Dimensional Liouvillian Maps
Global aspects of the motion of passive scalars in time-dependent incompressible fluid flows are well described by volume-preserving (Liouvillian) three-dimensional maps. In this paper the possible…
Julyan H. E. Cartwright, Mario Feingold, Oreste PiroOct 21, 1994
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Kinks Dynamics in One-Dimensional Coupled Map Lattices
We examine the problem of the dynamics of interfaces in a one-dimensional space-time discrete dynamical system. Two different regimes are studied : the non-propagating and the propagating one. In the…
B. FernandezOct 20, 1994
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Anomalous Scaling and Fusion Rules in Hydrodynamic Turbulence
It is shown that statistical properties of developed hydrodynamic turbulence are characterized by an infinite set of independent anomalous exponents which describes the scaling behavior of…
Vladimir V. Lebedev, Victor S. L'vovOct 20, 1994
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"Intermittency" in Hydrodynamic Turbulence as Intermediate Asymptotic to Kolmogorov41 Scaling
A synopsis of an analytical theory of scaling in developed turbulence is proposed on the basis of the Navier-Stokes equations. It is shown that corrections to the normal Kolmogorov 1941 scaling…
V. S L'vov, I. ProcacciaOct 20, 1994
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Dynamics of Small Autocatalytic Reaction Network II: Replication, Mutation and Catalysis
Mutation is introduced into autocatalytic reaction networks. Examples of low dimensional dynamical systems --- n = 2, 3 and 4 --- are discussed and complete qualitative analysis is presented. Error…
Peter F. Stadler, Wolfgang Schnabl, Christian V. Forst et al.Oct 14, 1994
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Amplitude Equations for Electrostatic Waves: universal singular behavior in the limit of weak instability
An amplitude equation for an unstable mode in a collisionless plasma is derived from the dynamics on the unstable manifold of the equilibrium F0(v).\\ The mode eigenvalue arises from a simple zero…
John David CrawfordOct 5, 1994
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Avalanches in the Weakly Driven Frenkel-Kontorova Model
A damped chain of particles with harmonic nearest-neighbor interactions in a spatially periodic, piecewise harmonic potential (Frenkel-Kontorova model) is studied numerically. One end of the chain is…
Franz-Josef ElmerSep 29, 1994
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A New Type of Irregular Motion in a Class of Game Dynamics Systems
A new type of asymptotic behavior in a game dynamics system is discovered. The system exhibits behavior which combines chaotic motion and attraction to heteroclinic cycles; the trajectory visits…
Tsuyoshi ChawanyaSep 17, 1994
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Statistical Properties of the Zeros of Zeta Functions - Beyond the Riemann Case
We investigate the statistical distribution of the zeros of Dirichlet L--functions both analytically and numerically. Using the Hardy--Littlewood conjecture about the distribution of prime numbers…
E. Bogomolny, P. LeboeufSep 16, 1994
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Gaussian Wavepacket Dynamics: semiquantal and semiclassical phase space formalism
Gaussian wavepackets are a popular tool for semiclassical analyses of classically chaotic systems. We demonstrate that they are extremely powerful in the semiquantal analysis of such systems, too,…
Arjendu K. Pattanayak, William C. SchieveSep 14, 1994
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The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable
The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in…
A. Latifi, M. Musette, R. ConteSep 13, 1994
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