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Vacuum response to cosmic stretching: accelerated Universe and prevention of singularity

Nonlinear Sciences – Pattern Formation and Solitons
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Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Validation and Calibration of Models for Reaction-Diffusion Systems

Nonlinear Sciences – Pattern Formation and Solitons
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Validity of numerical trajectories in the synchronization transition of complex systems

Nonlinear Sciences – Chaotic Dynamics
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Validity of the Brunet-Derrida formula for the speed of pulled fronts with a cutoff

Nonlinear Sciences – Pattern Formation and Solitons
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Validity of the linear marginal stability principle for monotonic fronts of the extended Fisher-Kolmogorov equation

Nonlinear Sciences – Pattern Formation and Solitons
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Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series

Nonlinear Sciences – Chaotic Dynamics
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Vanishing Twist in the Hamiltonian Hopf Bifurcation

Nonlinear Sciences – Chaotic Dynamics
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Variable coefficient nonlinear Schrödinger equations with four-dimensional symmetry groups and analysis of their solutions

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Variable Coefficient Third Order KdV Type of Equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Variable separation approach for a differential-difference system: special Toda equation

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Variable-delay feedback control of unstable steady states in retarded time-delayed systems

Nonlinear Sciences – Chaotic Dynamics
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Variation of Fractal Properties of Two-Component Systems in Their Evolution Process

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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Variation of the Dependence of the Transient Process Duration on the Initial Conditions in Systems with Discrete Time

Nonlinear Sciences – Chaotic Dynamics
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Variational and Potential Formulation for Stochastic Partial Differential Equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Variational approach to a class of nonlinear oscillators with several limit cycles

Nonlinear Sciences – Chaotic Dynamics
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Variational approximations for travelling solitons in a discrete nonlinear Schrödinger equation

Nonlinear Sciences – Pattern Formation and Solitons
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Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings

Nonlinear Sciences – Pattern Formation and Solitons
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Variational Approximations of Bifurcations of Asymmetric Solitons in Cubic-Quintic Nonlinear Schroedinger Lattices

Nonlinear Sciences – Pattern Formation and Solitons
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Variational approximations to homoclinic snaking

Nonlinear Sciences – Pattern Formation and Solitons
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