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EndtoEnd Internet Packet Dynamics,”
 Proc. SIGCOMM '97,
, 1997
"... Abstract We discuss findings from a largescale study of Internet packet dynamics conducted by tracing 20,000 TCP bulk transfers between 35 Internet sites. Because we traced each 100 Kbyte transfer at both the sender and the receiver, the measurements allow us to distinguish between the endtoend ..."
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Cited by 843 (19 self)
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Abstract We discuss findings from a largescale study of Internet packet dynamics conducted by tracing 20,000 TCP bulk transfers between 35 Internet sites. Because we traced each 100 Kbyte transfer at both the sender and the receiver, the measurements allow us to distinguish between the end
The Infinite Hidden Markov Model
 Machine Learning
, 2002
"... We show that it is possible to extend hidden Markov models to have a countably infinite number of hidden states. By using the theory of Dirichlet processes we can implicitly integrate out the infinitely many transition parameters, leaving only three hyperparameters which can be learned from data. Th ..."
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Cited by 637 (41 self)
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. These three hyperparameters define a hierarchical Dirichlet process capable of capturing a rich set of transition dynamics. The three hyperparameters control the time scale of the dynamics, the sparsity of the underlying statetransition matrix, and the expected number of distinct hidden states in a finite
HyTech: A Model Checker for Hybrid Systems
 Software Tools for Technology Transfer
, 1997
"... A hybrid system is a dynamical system whose behavior exhibits both discrete and continuous change. A hybrid automaton is a mathematical model for hybrid systems, which combines, in a single formalism, automaton transitions for capturing discrete change with differential equations for capturing conti ..."
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Cited by 473 (6 self)
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A hybrid system is a dynamical system whose behavior exhibits both discrete and continuous change. A hybrid automaton is a mathematical model for hybrid systems, which combines, in a single formalism, automaton transitions for capturing discrete change with differential equations for capturing
Dynamic transitions and hysteresis
, 2008
"... When an interacting manybody system, such as a magnet, is driven in time by an external perturbation, such as a magnetic field, the system cannot respond instantaneously due to relaxational delay. The response of such a system under a timedependent field leads to many novel physical phenomena with ..."
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of the variable undergoing such “dynamic hysteresis”. This nonzero value indicates a breaking of symmetry of the hysteresis loop, around the origin. Such a transition to the “spontaneously broken symmetric phase ” occurs dynamically when the driving frequency of the field increases beyond its threshold value
PRINCIPLE OF EXCHANGE OF STABILITIES AND DYNAMIC TRANSITIONS
"... Dedicated to the memory of Professor JacquesLouis Lions on the occasion of his 80th birthday anniversary Abstract. We derive some formulas for the critical crossing, also called the principle of exchange of stability (PES) in physics. These formulas will be crucial for studying dynamic transitions ..."
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Dedicated to the memory of Professor JacquesLouis Lions on the occasion of his 80th birthday anniversary Abstract. We derive some formulas for the critical crossing, also called the principle of exchange of stability (PES) in physics. These formulas will be crucial for studying dynamic transitions
Cascades of Dynamical Transitions in an Adaptive Population
, 2006
"... In an adaptive population that models financial markets and distributed control, we consider how the dynamics depends on the diversity of the agents ’ initial preferences of strategies. When the diversity decreases, more agents tend to adapt their strategies together. This change in the environment ..."
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results in dynamical transitions from vanishing to nonvanishing step sizes. When the diversity decreases further, we find a cascade of dynamical transitions for the different signal dimensions, which is supported by good agreement between simulations and theory. Besides, the signal of the largest step
DYNAMICAL TRANSITIONS OF TURING PATTERNS
"... Abstract. This article is concerned with the formation and persistence of spatiotemporal patterns in binary mixtures of chemically reacting species, where one of the species is an activator, the other an inhibitor of the chemical reaction. The system of reactiondiffusion equations is reduced to a ..."
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to a finite system of ordinary differential equations by a variant of the centermanifold reduction method. The reduced system fully describes the local dynamics of the original system near transition points at the onset of instability. The attractorbifurcation theory is used to give a complete
Noise and dynamic transitions
, 1997
"... A parabolic stochastic PDE is studied analytically and numerically, when a bifurcation parameter is slowly increased through its critical value. The aim is to understand the effect of noise on delayed bifurcations in systems with spatial degrees of freedom. Realisations of the nonautonomous stochast ..."
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Cited by 1 (0 self)
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188 in Stochastic PDEs, A. Etheridge (ed) Many physical systems undergo a transition from a spatially uniform state to one of lower symmetry. Such systems are commonly modelled by a simple differential equation which has a bifurcation parameter with a critical value at which there is an exchange of stability
A nonequilibrium dynamical transition in . . .
, 2011
"... Over the last few decades the interests of statistical physicists have broadened to include the detailed quantitative study of many systems – chemical, biological and even social – that were not traditionally part of the discipline. These systems can feature rich and complex spatiotemporal behaviour ..."
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Over the last few decades the interests of statistical physicists have broadened to include the detailed quantitative study of many systems – chemical, biological and even social – that were not traditionally part of the discipline. These systems can feature rich and complex spatiotemporal behaviour, often due to continued interaction with the environment and characterised by the dissipation of flows of energy and/or mass. This has led to vigorous research aimed at extending the established theoretical framework and adapting analytical methods that originate in the study of systems at thermodynamic equilibrium to deal with outofequilibrium situations, which are much more prevalent in nature. This thesis focuses on a microscopic model known as the asymmetric exclusion process, or ASEP, which describes the stochastic motion of particles on a onedimensional lattice. Though in the first instance a model of a lattice gas, it is sufficiently general to have served as the basis to model a wide variety of phenomena. That, as well as substantial progress made in analysing its stationary behaviour, including the locations and nature
Dynamic Transitions in Pure Ising Magnets
, 2001
"... Response of pure Ising systems to timedependent external magnetic elds, like pulsed and oscillating elds, are discussed and compared here. Because of the two time scales involved, namely the thermodynamic relaxation time of the system and the pulse width or the time period of the external eld, dyna ..."
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strength and duration is more than the threshold (dependent on the temperature), the system, and consequently the magnetization, switches from one minimum to the other of the static free energy. This magnetization reversal transition here shows intriguing dynamic transition behaviour, similar to those
Results 1  10
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18,151