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1. Integrability of Oscillators and Transcendental Invariant Curves NSTL国家科技图书文献中心

Gine, Jaume |  Sinelshchikov, Dmitr... -  《Qualitative theory of dynamical systems》 - 2025,24(1) - 共32页

摘要:In this work we study the integrability of a |  approach by proving non-Liouvillian integrability of two |  classification and non-Puiseux integrability of an oscillator |  family of nonlinear oscillators. Dynamical systems from |  this family appear in different applications from
关键词: Integrability |  Transcendental invariant curves |  Integrating factors |  First integrals

2. Integrability Properties of Generalized Liénard Differential Equations NSTL国家科技图书文献中心

Demina, Maria V. |  Nechitailo, Varvara ... -  《Qualitative theory of dynamical systems》 - 2025,24(1) - 共27页

摘要: sufficient conditions of the Liouvillian integrability for | We classify generalized Li & eacute;nard |  differential equations, sometimes called Li & eacute;nard |  type equations, that have integrating factors of a |  special form. We present first integrals of the related
关键词: Integrating factors |  Invariants |  Liouvillian integrability |  Puiseux series

3. Non-integrability of charged three-body problem NSTL国家科技图书文献中心

Przybylska, Maria |  Maciejewski, Andrzej... -  《Celestial Mechanics and Dynamical Astronomy》 - 2025,137(1) - 共13页

摘要: form of interaction, we investigate the integrability |  integrability of a natural Hamiltonian system with a | We consider the problem of n points with |  positive masses interacting pairwise with forces |  inversely proportional to the distance between them. In
关键词: Charged N-body problem |  Charged three-body problem |  Central configurations |  Relative equilibria |  Non-integrability |  Morales-Ramis theory

4. Formal integrability for monodromic nilpotent singular points in R3 NSTL国家科技图书文献中心

Pessoa, Claudio |  Queiroz, Lucas -  《Bulletin des sciences mathematiques》 - 2025,200 - 共28页

摘要: study the formal and analytic integrability for those |  and formal integrability for the Elsonbaty-El-Sayed | Consider analytic three-dimensional |  differential systems having a singular point at the origin |  such that its linear part is y partial derivative x
关键词: Monodromy |  Nilpotent singular points |  Integrability |  Center problem

5. Chaos and integrability in triangular billiards NSTL国家科技图书文献中心

Balasubramanian, Vij... |  Nath Das, Rathindra... -  《Journal of statistical mechanics》 - 2025,2025(3) - 共30页

摘要:We characterize quantum dynamics in triangular |  billiards in terms of five properties: (1) the level |  spacing ratio (LSR), (2) spectral complexity (SC), (3 | ) Lanczos coefficient variance, (4) energy eigenstate |  localisation in the Krylov basis, and (5) dynamical growth of
关键词: classical integrability |  quantum chaos |  topology and combinatorics |  connections between chaos and statistical physics

6. On particular integrability for (co)symplectic and (co)contact Hamiltonian systems NSTL国家科技图书文献中心

Azuaje, R. |  Escobar-Ruiz, A. M. -  《Journal of physics,A.Mathematical and theoretical》 - 2025,58(4) - 共17页

摘要: particular integral and particular integrability in |  where integrability conditions are met. Specifically |  integrability, these trajectories can be obtained by | As a generalization and extension of our |  previous paper (Escobar-Ruiz and Azuaje 2024 J. Phys. A
关键词: particular integrability |  Hamiltonian reduction |  contact Hamiltonian Mechanics |  dissipated quantities |  nonintegrable systems.

7. Local Integrability and Linearizability for Three Dimensional Lotka-Volterra Cubic Systems NSTL国家科技图书文献中心

Karim, Aween |  Aziz, Waleed... -  《Qualitative theory of dynamical systems》 - 2025,24(1) - 共31页

摘要: integrability and linearizability problems of a family of |  both integrability and linearizability are obtained | In this study, we investigate the |  cubic three-dimensional Lotka-Volterra systems with |  one zero eigenvalue, involving seventeen parameters
关键词: Integrability |  Linearizability |  Invariant algebraic surface |  Exponential factor |  Inverse Jacobi multiplier |  First integral

8. Natural extension of a Lie algebra A b4,18, |b| ≤ 1, realizations, invariant systems and integrability NSTL国家科技图书文献中心

Ayub, Muhammad |  Bano, Saira -  《Applied mathematics and computation》 - 2025,494 - 共13页

摘要: classification, linearization and integrability of system of |  integrability of investigated canonical forms for system of | In the frame of Lie theory, the classical |  successive reduction of order for scalar ODEs is not much |  effective for system of differential equations due to
关键词: Systems of second-order ODEs |  Lie algebra |  Realizations |  Integrability |  Linearization

9. The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations NSTL国家科技图书文献中心

Zhan, Weijun |  Guo, Qian... -  《Journal of difference equations and applications》 - 2025,31(1/4) - 459~477 - 共19页

摘要: theory and the exponential integrability properties of | In this paper, we employ the perturbation |  the numerical approximations to obtain the strong |  convergence rate for a type of truncated Euler's method | . Some numerical examples are given to validate the
关键词: Exponential integrability |  perturbation theory |  truncated Euler's method |  strong convergence rate

10. On the integrability of extended test body dynamics around black holes NSTL国家科技图书文献中心

Ramond, Paul -  《Classical and Quantum Gravity》 - 2025,42(6) - 共13页

摘要:. Moreover, this integrability still holds at quadratic | In general relativity, the motion of an |  extended test body is influenced by its proper rotation | , or spin. We present a covariant and physically self | -consistent Hamiltonian framework to study this motion, up
关键词: black holes |  integrability |  extended-body effects |  relativistic mechanics
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