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The Finite-Difference Analysis and Time Flow

Nonlinear Sciences – Chaotic Dynamics
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The First Birkhoff Coefficient and the Stability of 2-Periodic Orbits on Billiards

Nonlinear Sciences – Chaotic Dynamics
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The Five Elements of Th1-Th2 System

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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The forget-remember mechanism for 2-state spreading

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification

Nonlinear Sciences – Pattern Formation and Solitons
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The Fourier method for the linearized Davey-Stewartson I equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Fourier transform of the Hadamard transform: Multifractals, Sequences and Quantum Chaos

Nonlinear Sciences – Chaotic Dynamics
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The Fourth-Order Correlation Function of a Randomly Advected Passive Scalar

Nonlinear Sciences – Chaotic Dynamics
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The Fractal Dimension of an Oil Spray

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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The Fractality of the Hydrodynamic Modes of Diffusion

Nonlinear Sciences – Chaotic Dynamics
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The Gambier Mapping

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Gambier Mapping, Revisited

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Gardner method for symmetries

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The General Solution of the Complex Monge-Ampère Equation in a space of arbitrary dimension

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The General Solution of the Complex Monge-Ampère Equation in two dimensional space

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The general solution of the matrix equation $w_t+\sum\limits_{k=1}^nw_{x_k}ρ^{(k)}(w)=ρ(w)+[w,T\tildeρ(w)]$

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Generalised mKdV Equations for Level -3 of $\hat{sl}_2$

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Generalised Zakharov-Shabat System and the Gauge Group Action

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The generalization of the addition property for soliton type processes

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to DS equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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