Multisoliton complex systems with explicit superpotential interactions

Nuclear physics (81V35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Supersymmetry and quantum mechanics (81Q60) Soliton solutions (35C08) Synchronization of functional-differential equations (34K24)

Cites Work

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On the finiteness of collisions and phase-locked states for the Kuramoto model
Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
General solutions for some classes of interacting two field kinks
Synchronization in complex networks of phase oscillators: a survey
The Kuramoto model in complex networks
Self-dual sectors for scalar field theories in (1 + 1) dimensions
Factorization method in quantum mechanics
Synchronization and balancing on the \(N\)-torus
Intriguing properties of kinks in a simple model with a two-component field
Constants of motion for superconducting Josephson arrays
Multi-kink collisions in the \({\phi}^{6}\) model
Solitons in systems of coupled scalar fields
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
Asymmetric kink scattering in a two-component scalar field theory model
Boundary scattering in the \({\varphi}^6\) model
Synchronization analysis of Kuramoto oscillators
Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
The spectrum of the locked state for the Kuramoto model of coupled oscillators
Counterexamples in synchronization: pathologies of consensus seeking gradient descent flows on surfaces
Kinks in higher-order polynomial models
Complete Entrainment of Lohe Oscillators under Attractive and Repulsive Couplings
Stability of kink defects in a deformed O(3) linear sigma model
Kink manifolds in a three-component scalar field theory
Integrability of a globally coupled oscillator array
Kinks from dynamical systems: domain walls in a deformedO(N) linear sigma model
Topological and Non-Topological Solitons in Scalar Field Theories
Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
Dynamics of globally coupled oscillators: Progress and perspectives
The WS transform for the Kuramoto model with distributed amplitudes, phase lag and time delay
Synchronization
Factorization: little or great algorithm?
Topological Solitons
Generalized splay states in phase oscillator networks
Some comments on BPS systems
Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
Remarks on the complete synchronization of Kuramoto oscillators
Hyperbolic geometry of Kuramoto oscillator networks
The Factorization Method
Dynamics and Analysis of Alignment Models of Collective Behavior
Preface

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