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The Breakdown of Dynamic Scaling and Intermittency in a Cascade Model of Turbulence

Nonlinear Sciences – Chaotic Dynamics
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The Breakup Condition of Shearless KAM Curves in the Quadratic Map

Nonlinear Sciences – Chaotic Dynamics
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The bright $N$-soliton solution of a multi-component modified nonlinear Schrödinger equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Building Blocks of Spatiotemporal Intermittency

Nonlinear Sciences – Chaotic Dynamics
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The Burnett expansion of the periodic Lorentz gas

Nonlinear Sciences – Chaotic Dynamics
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The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Calogero equation and Liouville type equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Camassa-Holm equation as a geodesic flow for the $H^1$ right-invariant metric

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Camassa-Holm Equation: A Loop Group Approach

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Camassa-Holm Equation: Conserved Quantities and the Initial Value Problem

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Camassa-Holm equations as a closure model for turbulent channel flow

Nonlinear Sciences – Chaotic Dynamics
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The Camassa-Holm hierarchy, related N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The cascades route to chaos

Nonlinear Sciences – Chaotic Dynamics
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The case of the missing neutrality

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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The cat's cradle, stirring, and topological complexity

Nonlinear Sciences – Chaotic Dynamics
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The Cauchy problem of the Ward equation with mixed scattering data

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Cauchy Problem on the Plane for the Dispersionless Kadomtsev - Petviashvili Equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The CKP hierarchy and the WDVV prepotential

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The Classical and Quantum Mechanics of Lazy Baker Maps

Nonlinear Sciences – Chaotic Dynamics
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