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Chaotic Dynamics papers — page 68

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The Topological Entropy of One-dimensional Maps: Approximations and Bounds
We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bounds.
N. J. Balmforth, E. A. Spiegel, C. TresserSep 8, 1993
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Chaotic Pulse Trains
We study a third-order nonlinear ordinary differential equation whose solutions, under certain specific conditions, are individual pulses. These correspond to homoclinic orbits in the phase space of…
N. J. Balmforth, G. R. Ierley, E. A. SpiegelSep 8, 1993
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Chaotic Transport in Planar Periodic Vortical Flows
We have studied a chaotic transport in a two-dimensional periodic vortical flow under a time-dependent perturbation with period T where the global diffusion occurs along the stochastic web. By using…
Taehoon Ahn, Seunghwan KimSep 4, 1993
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Rotation Axis Variation Due To Spin Orbit Resonance
Rotation axis variation due to spin orbit resonance: conference report; keywords: planetary precession, rigid body, chaos, KAM, Arnold diffusion, averaging, celestial mechanics, classical mechanics,…
Giovannni GallavottiAug 22, 1993
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Resonance spectra and a periodic orbit sum rule for bound chaotic systems
We consider the spectrum of the evolution operator for bound chaotic systems by evaluating its trace. This trace is known to approach unity as t → ∞ for bound systems. It is written…
Per DahlqvistAug 12, 1993
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A Dynamical Approach to Fractional Brownian Motion
Herein we develop a dynamical foundation for fractional Brownian Motion. A clear relation is established between the asymptotic behaviour of the correlation function and diffusion in a dynamical…
R Mannella, P Grigolini, BJ WestAug 9, 1993
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Supernarrow Spectral Peaks and High Frequency Stochastic Resonance in Systems with Coexisting Periodic Attractors
The kinetics of a periodically driven nonlinear oscillator, bistable in a nearly resonant field, has been investigated theoretically and through analogue experiments. An activation dependence of the…
MI Dykman, DG Luchinsky, R Mannella et al.Aug 9, 1993
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Linear Response Theory in Stochastic Resonance
The susceptibility of an overdamped Markov system fluctuating in a bistable potential of general form is obtained by analytic solution of the Fokker-Planck equation (FPE) for low noise intensities.…
MI Dykman, H Haken, Gang Hu et al.Aug 9, 1993
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High Frequency Stochastic Resonance in Periodically Driven Systems
High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a…
M. I. Dykman, D. G. Luchinsky, R. Mannella et al.Aug 9, 1993
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Prediction of Large Events on a Dynamical Model of a Fault
We present results for long term and intermediate term prediction algorithms applied to a simple mechanical model of a fault. We use long term prediction methods based, for example, on the…
S. L. Pepke, J. M. Carlson, B. E. ShawAug 3, 1993
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Non-deterministic chaos
Non-deterministic chaos is a form of low-dimensional dynamics which is characterized by the existence of a countable set of sensitive decision points (SDP's). Away from these points, the…
D. D. DixonAug 3, 1993
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Quantum Dissipative Chaos
Using the decoherence formalism of Gell-Mann and Hartle, a quantum system is found which is the equivalent of the classical chaotic Duffing oscillator. The similarities and the differences from the…
Todd A. BrunJul 31, 1993
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Evolutionary Games and Computer Simulations
The prisoner's dilemma has long been considered the paradigm for studying the emergence of cooperation among selfish individuals. Because of its importance, it has been studied through computer…
Bernardo A. Huberman, Natalie S. GlanceJul 30, 1993
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Diversity and Collective Action
We elucidate the dynamics of ongoing collective action among intentional agents with diverse beliefs and imperfect information. Their decisions on whether or not to contribute to the collective good…
Bernardo Huberman, Natalie GlanceJul 27, 1993
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Organizational Fluidity and Sustainable Cooperation
We show that fluid organizations display higher levels of cooperation than attainable by groups with either a fixed social structure or lacking one altogether. By moving within the organization,…
Natalie Glance, Bernardo HubermanJul 27, 1993
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Transition from Poissonian to GOE level statistics in a modified Artin's billiard
One wall of Artin's billiard on the Poincaré half plane is replaced by a one-parameter (cp) family of nongeodetic walls. A brief description of the classical phase space of this system is…
A. Csordás, R. Graham, P. Szépfalusy et al.Jul 26, 1993
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A Fredholm Determinant for Semi-classical Quantization
We investigate a new type of approximation to quantum determinants, the ``", and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of…
Predrag Cvitanović, Per E. Rosenqvist, Gábor Vattay et al.Jul 26, 1993
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Entire Fredholm determinants for Evaluation of Semi-classical and Thermodynamical Spectra
Proofs that Fredholm determinants of transfer operators for hyperbolic flows are entire can be extended to a large new class of multiplicative evolution operators. We construct such operators both…
Predrag Cvitanović, Gábor VattayJul 26, 1993
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Advection of vector fields by chaotic flows
We have introduced a new transfer operator for chaotic flows whose leading eigenvalue yields the dynamo rate of the fast kinematic dynamo and applied cycle expansion of the Fredholm determinant of…
N. J. BALMFORTH, P. CVITANOVIC, G. R. IERLEY et al.Jul 26, 1993
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Dependence of extensive chaos on the spatial correlation length (substantial revision)
We consider spatiotemporal chaotic systems for which spatial correlation functions decay substantially over a length scale xi (the spatial correlation length) that is small compared to the system…
David A. Egolf, Henry S. GreensideJul 22, 1993
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A Genealogy for Finite Kneading Sequences of Bimodal Maps on the Interval
We generate all the finite kneading sequences of one of the two kinds of bimodal map on the interval, building each sequence uniquely from a pair of shorter ones. There is a single pair at generation…
John Ringland, Charles TresserJul 20, 1993
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Fractal dimension crossovers in turbulent passive scalar signals
The fractal dimension δg(1) of turbulent passive scalar signals is calculated from the fluid dynamical equation. δg(1) depends on the scale. For small Prandtl (or Schmidt) number…
Siegfried Grossmann, Detlef LohseJul 20, 1993
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On Spectral Laws of 2D--Turbulence in Shell Models
We consider a class of shell models of 2D-turbulence. They conserve inertially the analogues of energy and enstrophy, two quadratic forms in the shell amplitudes. Inertially conserving two quadratic…
Peter Frick, Erik AurellJul 19, 1993
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Stochastic Resonance
Stochastic resonance (SR) - a counter-intuitive phenomenon in which the signal due to a weak periodic force in a nonlinear system can be enhanced by the addition of external noise - is…
M. I. Dykman, D. G. Luchinsky, R. Mannella et al.Jul 17, 1993
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On the Quantum Cat and Sawtooth Maps- Return to Generic Behaviour
The quantization of the continous cat maps on the torus has led to rather pathological quantum objects [6]. The non-generic behaviour of this model has led some to conclude that the Correspondence…
A. Lakshminarayan, N. L. BalazsJul 12, 1993
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