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A Kinetic Theory of Coupled Oscillators

Nonlinear Sciences – Chaotic Dynamics
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A Langevin equation for the energy cascade in fully-developed turbulence

Nonlinear Sciences – Chaotic Dynamics
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A large-deviation approach to space-time chaos

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A lattice Boltzmann study of non-hydrodynamic effects in shell models of turbulence

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A Less Conservative Circle Criterion

Nonlinear Sciences – Chaotic Dynamics
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A local fluctuation theorem

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A Lower Bound for Chaos on the Elliptical Stadium

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A Markov Chain Approximation of a Segment Description of Chaos

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A mathematical analysis of the effects of Hebbian learning rules on the dynamics and structure of discrete-time random recurrent neural networks

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A Mean-field statistical theory for the nonlinear Schrodinger equation

Nonlinear Sciences – Chaotic Dynamics
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A mechanical model for Fourier's law of heat conduction

Nonlinear Sciences – Chaotic Dynamics
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A mechanical model of normal and anomalous diffusion

Nonlinear Sciences – Chaotic Dynamics
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A mechanism for randomness

Nonlinear Sciences – Chaotic Dynamics
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A mechanism for switching near a heteroclinic network

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A metaphor for adiabatic evolution to symmetry

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A Method for Detecting Possible Non-determinism in a Time Series

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A Method for Determining the Transient Process Duration in Dynamic Systems in the Regime of Chaotic Oscillations

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A method to find unstable periodic orbits for the diamagnetic Kepler Problem

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A Method to Modify RMT using Short-Time Behavior in Chaotic Systems

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A Micro-Thermodynamic Formalism

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