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Chaotic Dynamics papers — page 36

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Bifurcations, Chaos, Controlling and Synchronization of Certain Nonlinear Oscillators
In this set of lectures, we review briefly some of the recent developments in the study of the chaotic dynamics of nonlinear oscillators, particularly of damped and driven type. By taking a…
M. LakshmananOct 1, 1997
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Sound radiation of 3 MHz driven gas bubbles
The sound radiation of 3 MHz acoustically driven air bubbles in liquid is analysed with respect to possible applications in second harmonic ultrasound diagnostics devices, which have recently come…
Siegfried Grossmann, Sascha Hilgenfeldt, Detlef Lohse et al.Sep 30, 1997
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Invariant Correlation Entropy and Complexity of Quantum States
We define correlational (von Neumann) entropy for an individual quantum state of a system whose time-independent hamiltonian contains random parameters and is treated as a member of a statistical…
Valentin V. Sokolov, B. Alex Brown, Vladimir ZelevinskySep 30, 1997
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On the rate of quantum ergodicity in Euclidean billiards
For a large class of quantized ergodic flows the quantum ergodicity theorem due to Shnirelman, Zelditch, Colin de Verdi\`ere and others states that almost all eigenfunctions become equidistributed in…
A. Bäcker, R. Schubert, P. StifterSep 29, 1997
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Nonuniversality of weak synchronization in chaotic systems
We show that the separate properties of weak synchronization (WS) and strong synchronization (SS), reported recently by Pyragas [K. Pyragas, Phys. Rev. E, 54, R4508 (1996)], in unidirectionally…
M. de Sousa Vieira, A. J. LichtenbergSep 26, 1997
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Propagation of a Huygens front through turbulent medium
The dynamics of a thin Huygens front propagating through turbulent medium is considered. A rigorous asymptotic expression for the effective velocity vF proportional to the front area is derived.…
M. Chertkov, V. YakhotSep 25, 1997
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Influence of Dynamical Pauli Effect and Dynamical Symmetry Breaking to Quantum Chaos
In this paper, we study the influence of quantum effects to chaotic dynamics, especially the influence of Pauli effect and dynamical symmetry breaking to chaotic motions. We apply the semiquantal…
Ming-Tsung Lee, Wei-Min Zhang, Cheng-Li WuSep 24, 1997
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Synchronization of Strange Nonchaotic Attractors
Strange nonchaotic attractors (SNAs), which are realized in many quasiperiodically driven nonlinear systems are strange (geometrically fractal) but nonchaotic (the largest nontrivial Lyapunov…
Ramakrishna RamaswamySep 22, 1997
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Secure Communication using Compound Signal from Generalized Synchronizable Chaotic Systems
By considering generalized synchronizable chaotic systems, the drive-auxiliary system variables are combined suitably using encryption key functions to obtain a compound chaotic signal. An…
K. Murali, M. LakshmananSep 20, 1997
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Burridge-Knopoff model and self-similarity
The seismic processes are well known to be self-similar in both spatial and temporal behavior. At the same time, the Burridge-Knopoff (BK) model of earthquake fault dynamics, one of the basic models…
P. G. Akishin, M. V. Altaisky, A. D. Budnik et al.Sep 19, 1997
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Geometry and Chaos on Riemann and Finsler Manifolds
In this paper we discuss some general aspects of the so-called "geometrodynamical approach" (GDA) to Chaos and present some results obtained within this framework. In order to support the…
Di Bari Maria, Cipriani PieroSep 18, 1997
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Dynamical Instability and Statistical Behaviour of N-Body Systems
We here describe the possibility of a synthetic description of the onset of Chaos in many degrees of freedom dynamical systems within the framework of the geometric description of dynamics. We show…
Cipriani Piero, Di Bari MariaSep 18, 1997
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Dynamics of a single particle in a horizontally shaken box
We study the dynamics of a particle in a horizontally and periodically shaken box as a function of the box parameters and the coefficient of restitution. For certain parameter values, the particle…
Barbara Drossel, Thomas PrellbergSep 18, 1997
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Late states of incompressible 2D decaying vorticity fields
Two-dimensional decaying turbulent flow is known to approach apparently stable states after a long time evolution. A few theories and models have been so far proposed to account for this relaxation.…
Enrico Segre, Shigeo KidaSep 17, 1997
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Conditional Averages and Probability Density Functions in the Passive Scalar Field
Two conditional averages for the increment Delta(x,x+r) = T(x)-T(x+r) of the scalar field are estimated for DNS data: H(Delta)=<nabla2 Delta(x,x+r)|Delta(x,x+r)> and G(Delta)=<|nabla…
Naoya Takahashi, Tsutomu Kambe, Tohru Nakano et al.Sep 16, 1997
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A turning point analysis of the ergodic dynamics of iterative maps
The dynamics of one dimensional iterative maps in the regime of fully developed chaos is studied in detail. Motivated by the observation of dynamical structures around the unstable fixed point we…
P. Schmelcher, F. K. DiakonosSep 12, 1997
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Quantum time-delay in chaotic scattering: a semiclassical approach
We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of…
R. O. Vallejos, A. M. Ozorio de Almeida, C. H. LewenkopfSep 12, 1997
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Fuzzy phase transition in a 1D coupled stable-map lattice
A coupled-map lattice showing complex behavior in presence of a fully negative Lyapunov spectrum is considered. A phase transition from ordered to disordered evolution upon changing diffusive…
F. Cecconi, R. Livi, A. PolitiSep 12, 1997
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Ergodic Properties of Microcanonical Observables
The problem of the existence of a Strong Stochasticity Threshold in the FPU-beta model is reconsidered, using suitable microcanonical observables of thermodynamic nature, like the temperature and the…
C. Giardina', R. LiviSep 12, 1997
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Slow and fast dynamics in coupled systems: A time series analysis view
We study the dynamics of systems with different time scales, when access only to the slow variables is allowed. We use the concept of Finite Size Lyapunov Exponent (FSLE) and consider both the case…
G. Boffetta, A. Crisanti, F. Paparella et al.Sep 11, 1997
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Bifurcation and chaos in the double well Duffing-van der Pol oscillator: Numerical and analytical studies
The behaviour of a driven double well Duffing-van der Pol (DVP) oscillator for a specific parametric choice ( α =β) is studied. The existence of different attractors in the system…
A. Venkatesan, M. LakshmananSep 11, 1997
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Coexisting periodic attractors in injection locked diode lasers
We present experimental evidence for coexisting periodic attractors in a semiconductor laser subject to external optical injection. The coexisting attractors appear after the semiconductor laser has…
A. Gavrielides, V. Kovanis, P. M. Varangis et al.Sep 10, 1997
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Uniform semiclassical approximations for umbilic bifurcation catastrophes
Gutzwiller's trace formula for the semiclassical density of states diverges at the bifurcation points of periodic orbits and has to be replaced with uniform semiclassical approximations. We…
J. Main, G. WunnerSep 9, 1997
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Harmonic inversion as a general method for periodic orbit quantization
In semiclassical theories for chaotic systems such as Gutzwiller's periodic orbit theory the energy eigenvalues and resonances are obtained as poles of a non-convergent series g(w)=sumn An…
J. Main, V. A. Mandelshtam, G. Wunner et al.Sep 9, 1997
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Fast Arnold's diffusion in isochronous systems
We provide an illustration of a mechanism for Arnold's diffusion following a nonvariational approach and find explicit estimates for the diffusion time.
Giovanni GallavottiSep 9, 1997
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