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Chaotic Dynamics papers — page 30

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Initial Condition Sensitivity of Global Quantities in Magnetohydrodynamic Turbulence
In this paper we study the effect of subtle changes in initial conditions on the evolution of global quantities in two-dimensional Magnetohydrodynamic (MHD) turbulence. We find that a change in the…
Gaurav Dar, Mahendra K. Verma, V. EswaranMar 16, 1998
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Mean magnetic field renormalization and Kolmogorov's energy spectrum in MHD turbulence
In this paper we construct a self-consistent renormalization group procedure for MHD turbulence in which small wavenumber modes are averaged out, and effective mean magnetic field at large…
Mahendra K. VermaMar 15, 1998
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Chaos and Statistical Mechanics in the Hamiltonian Mean Field Model
We study the dynamical and statistical behavior of the Hamiltonian Mean Field (HMF) model in order to investigate the relation between microscopic chaos and phase transitions. HMF is a simple toy…
Vito Latora, Andrea Rapisarda, Stefano RuffoMar 13, 1998
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Periodic Orbit Theory for Rydberg Atoms in External Fields
Although hydrogen in external fields is a paradigm for the application of periodic orbits and the Gutzwiller trace formula to a real system, the trace formula has never been applied successfully to…
P. A. Dando, T. S. Monteiro, S. M. OwenMar 13, 1998
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The Weyl Series and the Trace formula: can we add them?
Periodic orbit expressions for the density of states lead to spurious results when directly used to calculate quantities of thermodynamic interest. This is because the trace formula is usually valid…
R. K. Bhaduri, N. D. Whelan, M. Brack et al.Mar 12, 1998
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Instanton for the Kraichnan Passive Scalar Problem
We consider high-order correlation functions of the passive scalar in the Kraichnan model. Using the instanton formalism we find the scaling exponents ζn of the structure functions Sn for…
E. Balkovsky, V. LebedevMar 12, 1998
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Lyapunov Exponents without Rescaling and Reorthogonalization
We present a new method for the computation of Lyapunov exponents utilizing representations of orthogonal matrices applied to decompositions of M or MMtrans where M is the tangent map. This method…
Govindan Rangarajan, Salman Habib, Robert D. RyneMar 12, 1998
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Superlattice Patterns in Surface Waves
We report novel superlattice wave patterns at the interface of a fluid layer driven vertically. These patterns are described most naturally in terms of two interacting hexagonal sublattices. Two…
A. Kudrolli, B. Pier, J. P. GollubMar 12, 1998
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Universal scaling exponents in shell models of turbulence: Viscous effects are finite-size corrections to scaling
In a series of recent works it was proposed that shell models of turbulence exhibit inertial range scaling exponents that depend on the nature of the dissipative mechanism. If true, and if one could…
Victor S. L'vov, Itamar Procaccia, Damien VandembroucqMar 11, 1998
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A solitary-wave representation of turbulence in the physical-plus-eddy space
A unique form of turbulent-transport equations is derived based on first principles.The role of nonequilibrium statistical mechanics employed to describe the phenomenology is that it enables to…
Shunichi TsugeMar 11, 1998
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First principle basis of the direct numerical simulation for turbulence of inert and reactive gases
An open question of whether phenomenological fluid equations to be used for direct numerical simulation of turbulence are warranted on `first principles' is addressed, and the problem is posed…
Shunichi TsugeMar 11, 1998
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Order and Chaos in Hofstadter's Q(n) Sequence
A number of observations are made on Hofstadter's integer sequence defined by Q(n)= Q(n-Q(n-1))+Q(n-Q(n-2)), for n > 2, and Q(1)=Q(2)=1. On short scales the sequence looks chaotic. It turns out,…
K. PinnMar 10, 1998
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On the Validity of the Conjugate Pairing Rule for Lyapunov Exponents
For Hamiltonian systems subject to an external potential, which in the presence of a thermostat will reach a nonequilibrium stationary state, Dettmann and Morriss proved a strong conjugate pairing…
F. Bonetto, E. G. D. Cohen, C. PughMar 9, 1998
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Probability Density Function of Longitudinal Velocity Increment in Homogeneous Turbulence
Two conditional averages for the longitudinal velocity increment ur of the simulated turbulence are calculated: h(ur) is the average of the increment of the longitudinal Laplacian velocity field…
Naoya Takahashi, Tsutomu Kambe, Tohru Nakano et al.Mar 9, 1998
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Similarity, attraction and initial conditions in an example of nonlinear diffusion
Similarity solutions play an important role in many fields of science. The recent book of Barenblatt (1996) discusses many examples. Often, outstanding unresolved issues are whether a similarity…
S. A. Suslov, A. J. RobertsMar 6, 1998
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Nonlinear projective filtering in a data stream
We introduce a modified algorithm to perform nonlinear filtering of a time series by locally linear phase space projections. Unlike previous implementations, the algorithm can be used not only for a…
Thomas Schreiber, Marcus RichterMar 5, 1998
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On how a joint interaction of two innocent partners (smooth advection & linear damping) produces a strong intermittency
Forced advection of passive scalar by a smooth d-dimensional incompressible velocity in the presence of a linear damping is studied. Acting separately advection and dumping do not lead to an…
Michael ChertkovMar 5, 1998
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A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist
We give a proof of the KAM theorem on the existence of invariant tori for weakly perturbed Hamiltonian systems, based on Thirring's approach for Hamiltonians that are quadratic in the action…
C. Chandre, H. R. JauslinMar 4, 1998
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Systematic Derivation of Amplitude Equations and Normal Forms for Dynamical Systems
We present a systematic approach to deriving normal forms and related amplitude equations for flows and discrete dynamics on the center manifold of a dynamical system at local bifurcations and…
M. Ipsen, F. Hynne, P. G. SoerensenMar 4, 1998
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The quantum Frenkel-Kontorova model: a squeezed state approach
The squeezed state is used to study the one-dimensional quantum mechanical Frenkel Kontorova model. A set of coupled equations for the particle's expectation value and the fluctuations for the…
Bambi Hu, Baowen Li, Wei-Min ZhangMar 4, 1998
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Quantum-Classical correspondence of entropy contours in the transition to chaos
Von Neumann entropy production rates of the quantised kicked rotor interacting with an environment are calculated. A significant correspondence is found between the entropy contours of the classical…
Raphael Zarum, Sarben SarkarMar 3, 1998
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Lyapunov Exponents from Node-Counting Arguments
A conjecture connecting Lyapunov exponents of coupled map lattices and the node theorem is presented. It is based on the analogy between the linear stability analysis of extended chaotic states and…
Antonio Politi, Alessandro Torcini, Stefano LepriMar 3, 1998
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Robust Chaos
It has been proposed to make practical use of chaos in communication, in enhancing mixing in chemical processes and in spreading the spectrum of switch-mode power suppies to avoid electromagnetic…
Soumitro Banerjee, James A. Yorke, Celso GrebogiMar 2, 1998
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From chaotic to disordered systems - a periodic orbit approach
We apply periodic orbit theory to a quantum billiard on a torus with a variable number N of small circular scatterers distributed randomly. Provided these scatterers are much smaller than the wave…
Per DahlqvistFeb 26, 1998
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Universality in the random matrix spectra in the regime of weak non-Hermiticity
This paper is a detailed account of the recent progress in understanding the statistical properties of complex eigenvalues of random non-Hermitian matrices reported earlier in our two short…
Yan V. Fyodorov, Boris Khoruzhenko, H. -J. SommersFeb 25, 1998
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