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Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices: theoretical analysis, numerical computation and experimental results

Nonlinear Sciences – Pattern Formation and Solitons
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Geometric statistical inference

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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Geometric zero mode for the Kraichnan's problem of passive scalar advection

Nonlinear Sciences – Chaotic Dynamics
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Geometrical approach for description of the mixed state in multi-well potentials

Nonlinear Sciences – Chaotic Dynamics
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Geometrical approach to the distribution of the zeroes for the Husimi function

Nonlinear Sciences – Chaotic Dynamics
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Geometrical Aspects of Integrability in Nonlinear Realization Scheme

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Geometrical Constraints on Finite-time Lyapunov Exponents in Two and Three Dimensions

Nonlinear Sciences – Chaotic Dynamics
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Geometrical derivation of the Boltzmann factor

Nonlinear Sciences – Chaotic Dynamics
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Geometrical Models of the Phase Space Structures Governing Reaction Dynamics

Nonlinear Sciences – Chaotic Dynamics
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Geometrical Obstruction to the Integrability of Geodesic Flows: an Application to the Anisotropic Kepler Problem

Nonlinear Sciences – Chaotic Dynamics
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Geometrical optics in nonlinear media and integrable equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Geometrical origin of chaoticity in the bouncing ball billiard

Nonlinear Sciences – Chaotic Dynamics
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Geometrical Properties of Coupled Oscillators at Synchronization

Nonlinear Sciences – Chaotic Dynamics
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Geometrical properties of local dynamics in Hamiltonian systems: the Generalized Alignment Index (GALI) method

Nonlinear Sciences – Chaotic Dynamics
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Geometrical resonance in spatiotemporal systems

Nonlinear Sciences – Pattern Formation and Solitons
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Geometrical theory of diffraction and spectral statistics

Nonlinear Sciences – Chaotic Dynamics
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Geometrization of spin systems using cycle expansions

Nonlinear Sciences – Chaotic Dynamics
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Geometry and Topology of Escape I: Epistrophes

Nonlinear Sciences – Chaotic Dynamics
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Geometry and Topology of Escape II: Homotopic Lobe Dynamics

Nonlinear Sciences – Chaotic Dynamics
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Geometry of dynamics, Lyapunov exponents and phase transitions

Nonlinear Sciences – Chaotic Dynamics
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