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The origin of diffusion: the case of non chaotic systems

Nonlinear Sciences – Chaotic Dynamics
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The origin of large molecules in primordial autocatalytic reaction networks

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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The Origin of Non-chaotic Behavior in Identically Driven Systems

Nonlinear Sciences – Chaotic Dynamics
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The Origin of the RNA World: a Kinetic Model

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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The oscillating two-cluster chimera state in non-locally coupled phase oscillators

Nonlinear Sciences – Chaotic Dynamics
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The overlapping of nonlinear resonances and problem of quantum chaos

Nonlinear Sciences – Chaotic Dynamics
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The Painlevé approach to nonlinear ordinary differential equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Painlevé Integrability Test

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Painlevé methods

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Painlevé Test of Higher Dimensional KdV Equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The partition function of the two-matrix model as an isomonodromic tau-function

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Past and the Future in the Present

Nonlinear Sciences – Chaotic Dynamics
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The PDEs of biorthogonal polynomials arising in the two-matrix model

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Peakon Limit of the N-Soliton Solution of the Camassa-Holm Equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The pentagon relation and incidence geometry

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The periodic Lax operators $\cL$ of the equations of Benney type II

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems

Nonlinear Sciences – Chaotic Dynamics
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The Perturbed NLS Equation and Asymptotic Integrability

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Pfaff lattice and skew-orthogonal polynomials

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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