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Analytic Proof of the Attractors of a Class of Cellular Automaton

Nonlinear Sciences – Cellular Automata and Lattice Gases
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Analytic solitary waves of nonintegrable equations

Nonlinear Sciences – Pattern Formation and Solitons
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Analytic solutions for nonlinear waves in coupled reacting systems

Nonlinear Sciences – Pattern Formation and Solitons
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Analytic structure of the four-wave mixing model in photorefractive materials

Nonlinear Sciences – Pattern Formation and Solitons
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Analytic Structure of the Landau-Ginzburg Equation in 2+1 Dimensions

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Analytic theory of narrow lattice solitons

Nonlinear Sciences – Pattern Formation and Solitons
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Analytic treatment of the network synchronization problem with time delays

Nonlinear Sciences – Cellular Automata and Lattice Gases
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Analytic-bilinear approach to integrable hierarchies. I.Generalized KP hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Analytical analysis of ground states on 0-$π$ long Josephson junctions

Nonlinear Sciences – Pattern Formation and Solitons
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Analytical and Numerical Investigation of the Phase-Locked Loop with Time Delay

Nonlinear Sciences – Chaotic Dynamics
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Analytical and Numerical Studies of Noise-induced Synchronization of Chaotic Systems

Nonlinear Sciences – Chaotic Dynamics
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Analytical Approach for Piecewise Linear Coupled Map Lattices

Nonlinear Sciences – Chaotic Dynamics
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Analytical approach to soliton ratchets in asymmetric potentials

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Analytical calculation of fragmentation transitions in adaptive networks

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions

Nonlinear Sciences – Cellular Automata and Lattice Gases
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Analytical calculation of the transition to complete phase synchronization in coupled oscillators

Nonlinear Sciences – Chaotic Dynamics
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Analytical description of Recurrence Plots of white noise and chaotic processes

Nonlinear Sciences – Chaotic Dynamics
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Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation

Nonlinear Sciences – Pattern Formation and Solitons
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Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map

Nonlinear Sciences – Chaotic Dynamics
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