Search Results - "Bunimovich, Leonid A"

Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos by Attarchi, Hassan, Bunimovich, Leonid A.

“…We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core…”
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Fine Structure of Sticky Sets in Mushroom Billiards by Bunimovich, Leonid A.

“…We consider sticky sets in the phase space of circular mushroom billiards, which are referred to in physics literature as MUPOs (marginally unstable periodic…”
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Early-Time Exponential Instabilities in Nonchaotic Quantum Systems by Rozenbaum, Efim B., Bunimovich, Leonid A., Galitski, Victor

“…The majority of classical dynamical systems are chaotic and exhibit the butterfly effect: a minute change in initial conditions has exponentially large effects…”
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Back to Boundaries in Billiards by Bunimovich, Leonid A., Su, Yaofeng

“…We prove Poisson limit laws for open billiard systems with holes in the boundary of billiard tables. Traditionally some abstract holes in the phase space of a…”
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At grammatical faculty of language, flies outsmart men by Stoop, Ruedi, Nüesch, Patrick, Stoop, Ralph Lukas, Bunimovich, Leonid A

“…Using a symbolic dynamics and a surrogate data approach, we show that the language exhibited by common fruit flies Drosophila ('D.') during courtship is as…”
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Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems by Su, Yaofeng, Bunimovich, Leonid A.

“…We prove the asymptotic functional Poisson laws in the total variation norm and obtain estimates of the corresponding convergence rates for a large class of…”
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Ehrenfests’ Wind–Tree Model is Dynamically Richer than the Lorentz Gas by Attarchi, Hassan, Bolding, Mark, Bunimovich, Leonid A.

“…We consider a physical Ehrenfests’ Wind–Tree model where a moving particle is a hard ball rather than (mathematical) point particle. We demonstrate that a…”
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Transport Processes from Mechanics: Minimal and Simplest Models by Bunimovich, Leonid A., Grigo, Alexander

“…We review the current state of a fundamental problem of rigorous derivation of transport processes in classical statistical mechanics from classical mechanics…”
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One-dimensional dynamical systems and Benford's law by Berger, Arno, Bunimovich, Leonid A., Hill, Theodore P.

“…Near a stable fixed point at 0 or \infty, many real-valued dynamical systems follow Benford's law: under iteration of a map T the proportion of values in \{x,…”
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Suppressing Fermi acceleration in a driven elliptical billiard by Leonel, Edson D, Bunimovich, Leonid A

“…We study dynamical properties of an ensemble of noninteracting particles in a time-dependent elliptical-like billiard. It was recently shown [Phys. Rev. Lett…”
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Dynamics of Two- and Three-Worker "Bucket Brigade" Production Lines by Bartholdi, John J., III, Bunimovich, Leonid A, Eisenstein, Donald D

“…We describe all possible asymptotic behavior of "bucket brigade" production lines with two or three workers, each characterized by a constant work velocity…”
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Deterministic walks in random environments by Bunimovich, Leonid A

“…Deterministic walks in random environments (DWRE) occupy an intermediate position between purely random (generated by random trials) and purely deterministic…”
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Maximal large deviations and slow recurrences in weakly chaotic systems by Bunimovich, Leonid A., Su, Yaofeng

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Semi-focusing billiards : Hyperbolicity by BUNIMOVICH, Leonid A, DEL MAGNO, Gianluigi

“…In this paper we answer affirmatively the question concerning the existence of hyperbolic billiards in convex domains of ℝ3. We also prove that a related class…”
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A Billiard in an Open Circle and the Riemann Zeta Function by Bunimovich, Leonid A., Dettmannn, Carl P.

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Where to place a hole to achieve a maximal escape rate by Bunimovich, Leonid A., Yurchenko, Alex

“…A natural question of how the survival probability depends upon a position of a hole was seemingly never addressed in the theory of open dynamical systems. We…”
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Suppressing Fermi acceleration in two-dimensional driven billiards by Leonel, Edson D, Bunimovich, Leonid A

“…We consider a dissipative oval-like shaped billiard with a periodically moving boundary. The dissipation considered is proportional to a power of the velocity…”
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Viscosity for a periodic two disk fluid: An existence proof by Bunimovich, Leonid A., Spohn, Herbert

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Few Islands Approximation of Hamiltonian System with divided Phase Space by Bunimovich, Leonid A., Casati, Giulio, Prosen, Tomaž, Vidmar, Gregor

“…It is well known that typical Hamiltonian systems have divided phase space consisting of regions with regular dynamics on KAM tori and region(s) with chaotic…”
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Focusing Components in Typical Chaotic Billiards Should be Absolutely Focusing by Bunimovich, Leonid A., Grigo, Alexander

“…We demonstrate that the defocusing mechanism fails to work if not all focusing components of the boundary are absolutely focusing. More precisely, we construct…”
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