Factor Complexity of S-adic sequences generated by the Arnoux-Rauzy-Poincar\'e Algorithm [PDF]
, 2014 The Arnoux-Rauzy-Poincar\'e multidimensional continued fraction algorithm is obtained by combining the Arnoux-Rauzy and Poincar\'e algorithms. It is a generalized Euclidean algorithm.
Berthé, Valérie, Labbé, Sébastien
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Analysis of Traffic Statics and Dynamics in Signalized Networks: A Poincaré Map Approach
Transportation Science, 2017 An understanding of traffic statics and dynamics is critical for developing effective and efficient control strategies for a signalized road network with turning movements, especially under oversaturated conditions.
Qijian Gan, W. Jin, V. Gayah
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On Locality in Quantum General Relativity and Quantum Gravity [PDF]
, 1996 The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on quantum bundles over
A. Einstein +41 more
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The Dynamics of a Predator-Prey System with State-Dependent Feedback Control
Abstract and Applied Analysis, 2012 A Lotka-Volterra-type predator-prey system with state-dependent feedback control is investigated in both theoretical and numerical ways. Using the Poincaré map and the analogue of the Poincaré criterion, the sufficient conditions for the existence and ...
Hunki Baek
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Generalized two-field $\alpha$-attractors from the hyperbolic triply-punctured sphere [PDF]
, 2018 We study generalized two-field $\alpha$-attractor models whose rescaled scalar manifold is the triply-punctured sphere endowed with its complete hyperbolic metric, whose underlying complex manifold is the modular curve $Y(2)$. Using an explicit embedding
Babalic, Elena Mirela +1 more
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Holling-Tanner Predator-Prey Model with State-Dependent Feedback Control
Discrete Dynamics in Nature and Society, 2018 In this paper, we propose a novel Holling-Tanner model with impulsive control and then provide a detailed qualitative analysis by using theories of impulsive dynamical systems.
Jin Yang, Guangyao Tang, Sanyi Tang
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A New Chaotic System with Positive Topological Entropy
Entropy, 2015 This paper introduces a new simple system with a butterfly chaotic attractor. This system has rich and complex dynamics. With some typical parameters, its Lyapunov dimension is greater than other known three dimensional chaotic systems.
Zhonglin Wang +3 more
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Damage detections in nonlinear vibrating thermally loaded plates [PDF]
, 2009 In this work, geometrically nonlinear vibrations of fully clamped rectangular plates subjected to thermal changesare used to study the sensitivity of some vibration response parameters to the presence of damage and elevated temperature. The geometrically
A.R. Kukreti +18 more
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Winding Numbers in Discrete Dynamics: From Circle Maps and Fractals to Chaotic Poincaré Sections
ModellingWinding numbers are key indices in the depiction, modelling, and testing of dynamical processes. They capture phase progression on closed curves and are robust for quasiperiodic dynamics, but their status for chaotic Poincaré sections is unclear.
Zhengyuan Zhang, Liming Dai, Na Jia
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Notes on the BMS group in three dimensions: I. Induced representations [PDF]
, 2014 The Bondi-Metzner-Sachs group in three dimensions is the symmetry group of asymptotically flat three-dimensional spacetimes. It is the semi-direct product of the diffeomorphism group of the circle with the space of its adjoint representation, embedded as
Barnich, Glenn, Oblak, Blagoje
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