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A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod: II. Discretization of the Arc Length

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod: III. Discretizatioon of Arc Length and Time

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A Less Conservative Circle Criterion

Nonlinear Sciences – Chaotic Dynamics
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A linear reformulation of the Kuramoto model of self-synchronizing oscillators

Nonlinear Sciences – Pattern Formation and Solitons
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A list of all integrable 2D homogeneous polynomial potentials with a polynomial integral of order at most 4 in the momenta

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A Local Asymptotic Analysis of the First Discrete Painlevé Equation as the Discrete Independent Variable Approaches Infinity

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A local fluctuation theorem

Nonlinear Sciences – Chaotic Dynamics
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A Lower Bound for Chaos on the Elliptical Stadium

Nonlinear Sciences – Chaotic Dynamics
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A mapping function approach applied to some classes of nonlinear equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A Markov Chain Approximation of a Segment Description of Chaos

Nonlinear Sciences – Chaotic Dynamics
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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

Nonlinear Sciences – Chaotic Dynamics
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A mathematical description of natural shapes in our nonlinear world

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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A Mathematical Model for the Dynamics and Synchronization of Cows

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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A Mathematical Model with Modified Logistic Approach for Singly-Peaked Population Processes

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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A mean field stochastic theory for species-rich assembled communities

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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A Mean-field statistical theory for the nonlinear Schrodinger equation

Nonlinear Sciences – Chaotic Dynamics
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A Mean-Field Theory of Cellular Automata Model for Distributed Packet Networks

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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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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