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Schwindelerregende Höhen muss erklimmen, wer der Nummer von Egon Schieles Gefängniszelle ansichtig werden will.

This https://arxiv.org/abs/2309.00897 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

A delay analogue of the box and ball system arising from the ultra-discretization of the delay discrete Lotka-Volterra equation
A delay analogue of the box and ball system (BBS) is presented. This new soliton cellular automaton is constructed by the ultra-discretization of the delay discrete Lotka-Volterra equation, which is an integrable delay analogue of the discrete Lotka-Volterra equation. Soliton patterns generated by this delay BBS are classified into normal solitons and abnormal solitons. Normal solitons have a clear relationship to the solitons of the BBS with K kinds of balls. On the other hand, abnormal solito…

On Modeling Adequacy and Stability Analysis of IBR-related Subsynchronous Oscillations in Multimachine Systems
Lilan Karunaratne, Nilanjan Ray Chaudhuri, Amirthagunaraj Yogarathnam, Meng Yue
https://arxiv.org/abs/2403.07835

On Modeling Adequacy and Stability Analysis of IBR-related Subsynchronous Oscillations in Multimachine Systems
Time-varying phasor-based analysis of subsynchronous oscillations (SSOs) involving grid-following converters (GFLCs) and its benchmarking with electromagnetic transient (EMT) models have so far been restricted to highly simplified grid models with constant voltage sources behind series R-L circuits. In this paper, modeling adequacy of bulk power systems with synchronous generators (SGs), transmission systems, loads, and GFLCs are considered. To this end, we revisit the notions of time-varying p…

Discrete nonlinear Schr\"odinger type equations: Solutions and continuum limits
Song-lin Zhao, Xiao-hui Feng, Wei Feng
https://arxiv.org/abs/2404.14060 https://arxiv.org/pdf/2404.14060
arXiv:2404.14060v1 Announce Type: new
Abstract: As local and nonlocal reductions of a discrete second-order Ablowitz-Kaup-Newell-Segur equation, two discrete nonlinear Schr\"odinger type equations are considered. Through the bilinearization reduction method, we construct double Casoratian solutions of the reduced discrete nonlinear Schr\"odinger type equations, including soliton solutions and Jordan-block solutions.Dynamics of the obtained one-soliton and two-soliton solutions are analyzed and illustrated. Moreover,both semi-continuous limit and full continuous limit, are applied to obtain solutions of the local and nonlocal semi-discrete nonlinear Schr\"odinger type equations, as well as the local and nonlocal continuous nonlinear Schr\"odinger type equations.

Hamiltonian aspects of the kinetic equation for soliton gas
Pierandrea Vergallo, Evgeny V. Ferapontov
https://arxiv.org/abs/2403.20162 https://

Hamiltonian aspects of the kinetic equation for soliton gas
We investigate Hamiltonian aspects of the integro-differential kinetic equation for dense soliton gas which results as a thermodynamic limit of the Whitham equations. Under a delta-functional ansatz, the kinetic equation reduces to a non-diagonalisable system of hydrodynamic type whose matrix consists of several $2\times 2$ Jordan blocks. We demonstrate that the resulting system possesses local Hamiltonian structures of differential-geometric type, for all standard two-soliton interaction kerne…

Hamiltonian aspects of the kinetic equation for soliton gas
Pierandrea Vergallo, Evgeny V. Ferapontov
https://arxiv.org/abs/2403.20162 https://

Hamiltonian aspects of the kinetic equation for soliton gas
We investigate Hamiltonian aspects of the integro-differential kinetic equation for dense soliton gas which results as a thermodynamic limit of the Whitham equations. Under a delta-functional ansatz, the kinetic equation reduces to a non-diagonalisable system of hydrodynamic type whose matrix consists of several $2\times 2$ Jordan blocks. We demonstrate that the resulting system possesses local Hamiltonian structures of differential-geometric type, for all standard two-soliton interaction kerne…

Relativistic chaotic scattering: unveiling scaling laws for trapped trajectories
Fernando Blesa, Juan D. Bernal, Jesus M. Seoane, Miguel AF Sanjuan
https://arxiv.org/abs/2404.05254

Relativistic chaotic scattering: unveiling scaling laws for trapped trajectories
In this paper, we study different types of phase space structures which appear in the context of relativistic chaotic scattering. By using the relativistic version of the Hénon-Heiles Hamiltonian, we numerically study the topology of different kind of exit basins and compare it with the case of low velocities in which the Newtonian version of the system is valid. Specifically, we numerically study the escapes in the phase space, in the energy plane and also in the $β$ plane which richly chara…