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Towards a theory of consciousness: Proposal for the resolution of the homunculus fallacy with predictions

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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Towards a theory of differential constraints of a hydrodynamic hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Towards a two-fluid picture of intermittency in shell models of turbulence

Nonlinear Sciences – Chaotic Dynamics
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Towards active microfluidics: Interface turbulence in thin liquid films with floating molecular machines

Nonlinear Sciences – Pattern Formation and Solitons
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Towards an Inverse Scattering theory for non decaying potentials of the heat equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Towards Behaviorly Realistic Simulations of the Stock Market (Traders with a Soul)

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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Towards classification of quasi-local symmetries of evolution equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Towards constructing one-bit binary adder in excitable chemical medium

Nonlinear Sciences – Pattern Formation and Solitons
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Towards Modeling of Consciousness

Nonlinear Sciences – Pattern Formation and Solitons
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Towards nonlinear selection of reaction-diffusion patterns in presence of advection: A spatial dynamics approach

Nonlinear Sciences – Pattern Formation and Solitons
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Towards Physarum Binary Adders

Nonlinear Sciences – Pattern Formation and Solitons
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Towards second order Lax pairs to discrete Painlevé equations of first degree

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Towards Self-organizing Bureaucracies

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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Towards spectral theory of the Nonstationary Schrödinger equation with a two-dimensionally perturbed one-dimensional potential

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Towards the global: complexity, topology and chaos in modelling, simulation and computation

Nonlinear Sciences – Chaotic Dynamics
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Towards the theory of Benney equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Trace Formula for a System of Particles with Elliptic Potential

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Trace formula for dieletric cavities : I. General properties

Nonlinear Sciences – Chaotic Dynamics
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Trace formula for noise corrections to trace formulas

Nonlinear Sciences – Chaotic Dynamics
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Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard

Nonlinear Sciences – Chaotic Dynamics
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