Watanabe-Strogatz Invariants in the Liouvillian Dynamics of Coupled Phase Oscillators via the Koopman Framework
Fuente:
arXiv
Saved in:
| Main Authors: | Taga, Keisuke, Nakao, Hiroya |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Global Analytical Solution of the Identical Kuramoto Model for N=3 via Koopman Eigenfunctions
by: Taga, Keisuke
Published: (2026)
by: Taga, Keisuke
Published: (2026)
Asymptotic Approximation of Fading Mode in Neurooscillator Dynamics
by: Preobrazhenskaia, Margarita, et al.
Published: (2024)
by: Preobrazhenskaia, Margarita, et al.
Published: (2024)
Collective dynamics of swarmalators with higher-order interactions
by: Anwar, Md Sayeed, et al.
Published: (2023)
by: Anwar, Md Sayeed, et al.
Published: (2023)
Exact Dimensional Reduction for Quasi-Linear ODE Ensembles
by: Augustsson, Felix, et al.
Published: (2025)
by: Augustsson, Felix, et al.
Published: (2025)
Kuramoto meets Koopman: Constants of motion, symmetries, and network motifs
by: Thibeault, Vincent, et al.
Published: (2025)
by: Thibeault, Vincent, et al.
Published: (2025)
Machine-assisted discovery of integrable symplectic mappings
by: Zolkin, Timofey, et al.
Published: (2022)
by: Zolkin, Timofey, et al.
Published: (2022)
Introduction to Focus Issue: Topics in Nonlinear Science
by: Bradley, Elizabeth, et al.
Published: (2025)
by: Bradley, Elizabeth, et al.
Published: (2025)
Existence of Liouvillian solutions in the Hess-Sretensky case of the problem of motion of a gyrostat with a fixed point
by: Kuleshov, Alexander S., et al.
Published: (2025)
by: Kuleshov, Alexander S., et al.
Published: (2025)
(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)
by: Li, Yue, et al.
Published: (2025)
Global Phase Synchronization Decoupled from Amplitude Dynamics
by: Yawata, Koichiro, et al.
Published: (2026)
by: Yawata, Koichiro, et al.
Published: (2026)
Operator-theoretic Analysis of Mutual Interactions in Synchronized Dynamics
by: Hashimoto, Yuka, et al.
Published: (2022)
by: Hashimoto, Yuka, et al.
Published: (2022)
Integrability of oscillators and transcendental invariant curves
by: Giné, Jaume, et al.
Published: (2026)
by: Giné, Jaume, et al.
Published: (2026)
Hypergraphs and Lotka-Volterra systems with linear Darboux polynomials
by: van der Kamp, Peter H.
Published: (2024)
by: van der Kamp, Peter H.
Published: (2024)
On a quadratic Poisson algebra and integrable Lotka-Volterra systems with solutions in terms of Lambert's W function
by: van der Kamp, Peter H., et al.
Published: (2024)
by: van der Kamp, Peter H., et al.
Published: (2024)
Trees and superintegrable Lotka-Volterra families
by: van der Kamp, Peter H., et al.
Published: (2023)
by: van der Kamp, Peter H., et al.
Published: (2023)
Interesting system of $3$ first-order recursions
by: Calogero, Francesco
Published: (2024)
by: Calogero, Francesco
Published: (2024)
Nonlinear Effects in a Weakly Nonholonomic Systems With a Small Degrees of Freedom
by: Kuleshov, Alexander S., et al.
Published: (2025)
by: Kuleshov, Alexander S., et al.
Published: (2025)
Painlevé Analysis, Prelle-Singer Approach, Symmetries and Integrability of Damped Hénon-Heiles System
by: Maheswari, C. Uma, et al.
Published: (2024)
by: Maheswari, C. Uma, et al.
Published: (2024)
Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlevé Property
by: Zhou, Changyu, et al.
Published: (2025)
by: Zhou, Changyu, et al.
Published: (2025)
Collapsing in polygonal dynamics
by: Stiegler, Jean-Baptiste
Published: (2025)
by: Stiegler, Jean-Baptiste
Published: (2025)
Low dimensional Watanabe-Strogatz approach for Kuramoto oscillators with higher-order interactions
by: Jain, Jayesh C., et al.
Published: (2025)
by: Jain, Jayesh C., et al.
Published: (2025)
Basin Riddling in Coupled Phase Oscillators
by: Yan, Jin, et al.
Published: (2026)
by: Yan, Jin, et al.
Published: (2026)
Thermalization of Weakly Nonintegrable FPUT and Toda Dynamics: A Lyapunov Spectrum Perspective
by: Patra, Aniket, et al.
Published: (2026)
by: Patra, Aniket, et al.
Published: (2026)
On the dynamics and integrability of the Ziegler pendulum
by: Polekhin, Ivan
Published: (2022)
by: Polekhin, Ivan
Published: (2022)
Quasideterminant Darboux solutions of Noncommutative Equations of Langmuir Oscillations
by: Mahmood, Irfan, et al.
Published: (2021)
by: Mahmood, Irfan, et al.
Published: (2021)
Definition and data-driven reconstruction of asymptotic phase and amplitudes of stochastic oscillators via Koopman operator theory
by: Takata, Shohei, et al.
Published: (2025)
by: Takata, Shohei, et al.
Published: (2025)
Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators
by: Namura, Norihisa, et al.
Published: (2023)
by: Namura, Norihisa, et al.
Published: (2023)
Collective dynamics of higher-order Vicsek model emerging from local conformity interactions
by: León, Iván, et al.
Published: (2025)
by: León, Iván, et al.
Published: (2025)
Integrability of Generalised Skew-Symmetric Replicator Equations via Graph Embeddings
by: Visomirski, Matthew, et al.
Published: (2024)
by: Visomirski, Matthew, et al.
Published: (2024)
Computer Assisted Discovery of Integrability via SILO: Sparse Identification of Lax Operators
by: Adriazola, Jimmie, et al.
Published: (2025)
by: Adriazola, Jimmie, et al.
Published: (2025)
Bidirectional shallow-water wave turbulence
by: Simonis, Ashleigh, et al.
Published: (2026)
by: Simonis, Ashleigh, et al.
Published: (2026)
On complex dynamics in a Suris's integrable map
by: Hanada, Yasutaka, et al.
Published: (2024)
by: Hanada, Yasutaka, et al.
Published: (2024)
Exactly solvable Stuart-Landau models in arbitrary dimensions
by: Gogoi, Pragjyotish Bhuyan, et al.
Published: (2025)
by: Gogoi, Pragjyotish Bhuyan, et al.
Published: (2025)
Quantum Solution of Classical Turbulence. Decaying Energy Spectrum
by: Migdal, Alexander
Published: (2023)
by: Migdal, Alexander
Published: (2023)
Top on a smooth plane
by: Przybylska, Maria, et al.
Published: (2025)
by: Przybylska, Maria, et al.
Published: (2025)
Dual Theory of MHD Turbulence
by: Migdal, Alexander
Published: (2025)
by: Migdal, Alexander
Published: (2025)
Integrals and chaos in generalized Hénon-Heiles Hamiltonians
by: Contopoulos, G., et al.
Published: (2025)
by: Contopoulos, G., et al.
Published: (2025)
Complete Synchronization of Coupled Oscillators Based on the Contraction Theory
by: Zhang, Brian Y, et al.
Published: (2021)
by: Zhang, Brian Y, et al.
Published: (2021)
Existence of Discrete Traveling Waves in Fully Coupled Network of Mackey-Glass Relay Generators
by: Alekseev, V. V., et al.
Published: (2024)
by: Alekseev, V. V., et al.
Published: (2024)
Designing two-dimensional limit-cycle oscillators with prescribed trajectories and phase-response characteristics
by: Namura, Norihisa, et al.
Published: (2023)
by: Namura, Norihisa, et al.
Published: (2023)
Similar Items
-
Global Analytical Solution of the Identical Kuramoto Model for N=3 via Koopman Eigenfunctions
by: Taga, Keisuke
Published: (2026) -
Asymptotic Approximation of Fading Mode in Neurooscillator Dynamics
by: Preobrazhenskaia, Margarita, et al.
Published: (2024) -
Collective dynamics of swarmalators with higher-order interactions
by: Anwar, Md Sayeed, et al.
Published: (2023) -
Exact Dimensional Reduction for Quasi-Linear ODE Ensembles
by: Augustsson, Felix, et al.
Published: (2025) -
Kuramoto meets Koopman: Constants of motion, symmetries, and network motifs
by: Thibeault, Vincent, et al.
Published: (2025)