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Systematic Density Expansion of the Lyapunov Exponents for a Two-dimensional Random Lorentz Gas

Nonlinear Sciences – Chaotic Dynamics
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Systematic derivation of a rotationally covariant extension of the 2-dimensional Newell-Whitehead-Segel equation

Nonlinear Sciences – Pattern Formation and Solitons
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Systematic Derivation of Amplitude Equations and Normal Forms for Dynamical Systems

Nonlinear Sciences – Chaotic Dynamics
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Systematic method of generating new integrable systems via inverse Miura maps

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Systematic weakly nonlinear analysis of interfacial instabilities in Hele-Shaw flows

Nonlinear Sciences – Pattern Formation and Solitons
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Systematics of the magnetic-Prandtl-number dependence of homogeneous, isotropic magnetohydrodynamic turbulence

Nonlinear Sciences – Chaotic Dynamics
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Systemic Risk in the International System

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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Systems of Gibbons-Tsarev type and integrable 3-dimensional models

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Systems of PDEs obtained from factorization in loop groups

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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