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The Limits of Mathematics---Third Version

Nonlinear Sciences – Chaotic Dynamics
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The Limits of Mathematics---Tutorial Version

Nonlinear Sciences – Chaotic Dynamics
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The Linear Baryon

Nonlinear Sciences – Chaotic Dynamics
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The Lorentz - invariant deformation of the Whitham system for the non-linear Klein-Gordon equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Lorenz model as a singularly perturbed nonlinear system

Nonlinear Sciences – Chaotic Dynamics
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The Lyapunov Characteristic Exponents and their computation

Nonlinear Sciences – Chaotic Dynamics
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The Lyapunov exponent in the Sinai billiard in the small scatterer limit

Nonlinear Sciences – Chaotic Dynamics
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The Lyapunov spectrum of the many-dimensional dilute random Lorentz gas

Nonlinear Sciences – Chaotic Dynamics
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The Lyapunov stability of first order dynamic equations with respect to time-dependent Riemannian metrics

Nonlinear Sciences – Chaotic Dynamics
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The Lyapunov stability of first order dynamic equations with respect to time-dependent Riemannian metrics. An example

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The Lyapunov stability of the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The macro-behavior of agents' opinion under the influence of an external field

Nonlinear Sciences – Pattern Formation and Solitons
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The magnetospheric chaos hypothesis: a new point of view of the magnetospheric dynamics

Nonlinear Sciences – Chaotic Dynamics
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The Manakov system as two moving interacting curves

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Markovian metamorphosis of a simple turbulent cascade model

Nonlinear Sciences – Chaotic Dynamics
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The massless XXZ chain with a boundary

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Mathematical Modelling of Inhomogeneities in Ventricular Tissue

Nonlinear Sciences – Pattern Formation and Solitons
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The matrix Kadomtsev--Petviashvili equation as a source of integrable nonlinear equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The matrix Lax representation of the generalized Riemann equations and its conservation Laws

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Maupertuis principle and integrable systems

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