Skip to content

Chaotic Dynamics papers — page 22

chao-dynBrowse archive

Band Husimi Distributions and the Classical-Quantum Correspondence on the Torus
Band Husimi distributions (BHDs) are introduced in the quantum-chaos problem on a toral phase space. In the framework of this phase space, a quantum state must satisfy Bloch boundary conditions (BCs)…
Itzhack Dana, Yaakov Rutman, Mario FeingoldSep 27, 1998
Learn
Weak Quantum Ergodicity
We examine the consequences of classical ergodicity for the localization properties of individual quantum eigenstates in the classical limit. We note that the well known Schnirelman result is a…
L. Kaplan, E. J. HellerSep 25, 1998
Learn
Instability and Chaos in Non-Linear Wave Interaction: a simple model
We analyze stability of a system which contains an harmonic oscillator non-linearly coupled to its second harmonic, in the presence of a driving force. It is found that there always exists a critical…
I. M. Khalatnikov, M. KroyterSep 23, 1998
Learn
Maps for analysis of nonlinear dynamics
Area preserving maps provide the simplest and most accurate means to visualize and quantify the behavior of nonlinear systems. Convenience of the mapping equations of motion for investigation of…
B. KaulakysSep 23, 1998
Learn
Normal forms and complex periodic orbits in semiclassical expansions of Hamiltonian systems
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of generic Hamiltonian systems. Meyer's classification of normal forms provides a powerful tool to…
P. Leboeuf, A. MouchetSep 18, 1998
Learn
Critical Behavior of Period Doublings in Coupled Inverted Pendulums
We study the critical behaviors of period doublings in N (N=2,3,4,...) coupled inverted pendulums by varying the driving amplitude A and the coupling strength c. It is found that the critical…
Sang-Yoon Kim, Bambi HuSep 17, 1998
Learn
Scar and Antiscar Quantum Effects in Open Chaotic Systems
We predict and numerically observe strong periodic orbit effects in the properties of open quantum systems with a chaotic classical limit. Antiscars lead to a large number of exponentially narrow…
L. KaplanSep 12, 1998
Learn
Wavefunction Intensity Statistics from Unstable Periodic Orbits
We examine the effect of short unstable periodic orbits on wavefunction statistics in a classically chaotic system, and find that the tail of the wavefunction intensity distribution in phase space is…
L. KaplanSep 12, 1998
Learn
Linear and Nonlinear Theory of Eigenfunction Scars
The theory of scarring of eigenfunctions of classically chaotic systems by short periodic orbits is extended in several ways. The influence of short-time linear recurrences on correlations and…
L. Kaplan, E. J. HellerSep 11, 1998
Learn
Passive advection in nonlinear medium
Forced advection of passive tracer, θ, in nonlinear relaxational medium by large scale (Batchelor problem) incompressible velocity field at scales less than the correlation length of the flow and…
Michael ChertkovSep 11, 1998
Learn
Correspondence between classical dynamics and energy level spacing distribution in the transition billiard systems
The Robnik billiard is investigated in detail both classically and quantally in the transition range from integrable to almost chaotic system. We find out that a remarkable correspondence between…
Soo-Young Lee, Sunghwan Rim, Eui-Soon Yim et al.Sep 5, 1998
Learn
Overcoming the wall in the semiclassical baker's map
A major barrier in semiclassical calculations is the sheer number of terms that contribute as time increases; for classically chaotic dynamics, the proliferation is exponential. We have been able to…
L. Kaplan, E. J. HellerSep 4, 1998
Learn
Semiclassical dynamical localization and the multiplicative semiclassical propagator
We describe an iterative approach to computing long-time semiclassical dynamics in the presence of chaos, which eliminates the need for summing over an exponentially large number of classical paths,…
L. KaplanSep 4, 1998
Learn
Multiplicative semiclassical dynamics and the quantization time
We study smooth, caustic-free, chaotic semiclassical dynamics on two-dimensional phase space and find that the dynamics can be approached by an iterative procedure which constructs an approximation…
L. KaplanSep 4, 1998
Learn
Eigenvalue statistics in quantum ideal gases
The eigenvalue statistics of quantum ideal gases with single particle energies en=nα are studied. A recursion relation for the partition function allows to calculate the mean density of states…
B. EckhardtSep 4, 1998
Learn
Spectral properties of non-hydrogenic atoms in weak external fields
We study how the ionic core in a non-hydrogenic atom modifies the dynamics of a Rydberg electron in the presence of a weak static external field. We show that such a system is neither regular nor…
T. Jonckheere, B. Gremaud, D. DelandeSep 2, 1998
Learn
Cantorian Fractal Spacetime and Quantum-like Chaos in Neural Networks of the Human Brain
The neural networks of the human brain act as very efficient parallel processing computers co-ordinating memory related responses to a multitude of input signals from sensory organs. Information…
A. M. SelvamSep 2, 1998
Learn
A Cell Dynamical System Model for Thundercloud Electrification
A cell dynamical system model is developed for thundercloud electrification by consideration of microscopic domain eddy dynamical processes in the atmospheric boundary layer (ABL). This…
A. M. SelvamSep 1, 1998
Learn
Expansion-modificaction systems: an explanation for long range correlations in DNA
Based on a model first studied in [Physical Review A, vol. 43, 5240-5260,1991] properties of correlation function for expansion-modification systems are developed. The existence of several…
R. Mansilla, G. CochoAug 31, 1998
Learn
A Langevin equation for the energy cascade in fully-developed turbulence
Experimental data from a turbulent jet flow is analysed in terms of an additive, continuous stochastic process where the usual time variable is replaced by the scale. We show that the energy transfer…
Philippe Marcq, Antoine NaertAug 25, 1998
Learn
On the Heat Transfer in Rayleigh-Benard systems
In this paper we discuss some theoretical aspects concerning the scaling laws of the Nusselt number versus the Rayleigh number in a Rayleigh-Benard cell. We present a new set of numerical simulations…
R. Benzi, F. Toschi, R. TripiccioneAug 23, 1998
Learn
Transitions to quantum chaos in a generic one-parameter family of billiards
Generic one-parameter billiards are studied both classically and quantally. The classical dynamics for the billiards makes a transition from regular to fully chaotic motion through intermediary soft…
Sunghwan Rim, Soo-Young Lee, Eui-Soon Yim et al.Aug 21, 1998
Learn
Hyperchaos synchronization with a zero driving variable
For the first time an example of hyperchaos synchronization with a zero driving variable using the system's parameters changes, proposed by L.Zonghua and C.Shigang (Phys.Rev.E, 55, 6651 (1997))…
E. M. ShahverdievAug 20, 1998
Learn
Frustrated synchronization in competing drive-response coupled chaotic systems
Chaotic systems can be synchronized by linking them to a common signal, subject to certain conditions. However, the presence of multiple driving signals coming from different systems, give rise to…
Sitabhra SinhaAug 19, 1998
Learn
Border Collision Bifurcations in Two Dimensional Piecewise Smooth Maps
Recent investigations on the bifurcations in switching circuits have shown that many atypical bifurcations can occur in piecewise smooth maps which can not be classified among the generic cases like…
Soumitro Banerjee, Celso GrebogiAug 14, 1998
Learn
← PreviousPage 22Next →