Analytical Stability Criteria for Periodic Processes in an Autonomous Nonlinear Model of Optical Communication Oscillators

Authors: Antonov, Svetlin

Source: 2026 61st International Scientific Conference on Information, Communication and Energy Systems and Technologies (ICEST) Information, Communication and Energy Systems and Technologies (ICEST), 2026 61st International Scientific Conference on. :381-384 Jul, 2026

Relation: 2026 61st International Scientific Conference on Information, Communication and Energy Systems and Technologies (ICEST)

Ferroptosis as a biological phase transition IV: chronotherapy of epithelial–mesenchymal transition of the tumour growth.

Authors: Suárez Ogando, Henry, Guerra González, Alejandro, Mansilla Corona, Ricardo, Nicado García, Miriam, Nieto Villar, José Manuel

Source: Biological Rhythm Research; Oct2026, Vol. 57 Issue 10, p1053-1062, 10p

Subject Terms: Ferroptosis, Epithelial-mesenchymal transition, Drug resistance, Cancer treatment, Clinical chronobiology, Perturbation theory, Autonomous differential equations

Time-reversal symmetric quadratic differential systems having an invariant cylinder: global dynamics and mechanical application.

Authors: Messias, Marcelo, Reinol, Alisson C., Rodrigues de Lima, Camila A. B.

Source: International Journal of Dynamics & Control; Oct2026, Vol. 14 Issue 10, p1-15, 15p

Subject Terms: Dynamical systems, Cylinder (Shapes), T-symmetry, Bifurcation theory, Autonomous differential equations, Applied mechanics, Limit cycles

Perturbation Effects for Anisotropic Non-Autonomous Kirchhoff–Schrödinger Equations With Exponential Growth.

Authors: Ahmad, Bashir, Nyamoradi, Nemat, Van Thin, Nguyen

Source: Asymptotic Analysis; Sep2026, Vol. 149 Issue 3, p1151-1181, 31p

Subject Terms: Variational approach (Mathematics), Fractional differential equations, Nonlinear theories, Autonomous differential equations, Partial differential equations, Laplacian operator

Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems.

Authors: Alves, Claudianor O.¹ (AUTHOR) coalves@mat.ufcg.edu.br, Isneri, Renan J. S.¹ (AUTHOR) renanisneri@mat.ufcg.edu.br, Montecchiari, Piero² (AUTHOR) p.montecchiari@staff.univpm.it

Source: Analysis & Applications. Oct2025, Vol. 23 Issue 7, p1093-1128. 36p.

Subject Terms: *Autonomous differential equations, *Uniqueness (Mathematics), *Laplacian operator, *Differential operators, *Differential equations, *Bifurcation theory

AUTONOMOUS DIFFERENTIAL SYSTEM WITH CONTRASTING COMBINATIONS OF GLOBAL STABILITY PROPERTIES AND MEASURES.

Authors: Bondarev, Alexey¹ (AUTHOR) albondarev1998@yandex.ru

Source: Journal of Mathematical Sciences. Aug2025, Vol. 292 Issue 2, p170-177. 8p.

Subject Terms: *Autonomous differential equations, *Dynamical systems, *Nonlinear systems, *Dynamic stability, *Initial value problems

Time-dependent global attractor for the extensible beam equation with rotational inertia and nonlinear damping.

Authors: Wang, Wei, Wang, Xuan

Source: Discrete & Continuous Dynamical Systems - Series S; Dec2026, Vol. 30, p1-24, 24p

Subject Terms: Damping (Mechanics), Dynamical systems, Phase space, Partial differential equations, Autonomous differential equations, Stability (Mechanics), Moments of inertia

First-order endotactic reaction networks

Authors: Xu, Chuang^{Aff1, IDs00285026023782_cor1}

Source: Journal of Mathematical Biology. 92(5)

Steady-State Oscillations of a Satellite with Passive Attitude Control System in the Magneto-Lorentz Coordinate System.

Authors: Lozovoi, Aleksei S., Petrov, Konstantin G., Tikhonov, Alexey A.

Source: Journal of Applied & Computational Mechanics; Summer2026, Vol. 12 Issue 3, p950-964, 15p

Subject Terms: Artificial satellite attitude control systems, Oscillations, Autonomous differential equations, Fourier series, Periodic motion

UNIFORM STABILITY OF NEUTRAL TYPE DIFFERENTIAL EQUATIONS.

Authors: Postanogova, Irina

Source: Journal of Mathematical Sciences; Jun2026, Vol. 300 Issue 3, p363-371, 9p

Subject Terms: Stability criterion, Operator theory, Function spaces, Delay differential equations, Lyapunov stability, Autonomous differential equations

A simple description of blow-up solutions through dynamics at infinity in nonautonomous ODEs.

Authors: Matsue, Kaname

Source: Discrete & Continuous Dynamical Systems: Series A; Jun2026, Vol. 51, p1-45, 45p

Subject Terms: Autonomous differential equations, Differential equations, Asymptotic expansions

One-Dimensional Solitary-Wave Solutions in Scalar–Tensor Gravity Coupled to Aharonov–Bohm Electrodynamics.

Authors: Pullano, Rosario, Minotti, Fernando, Modanese, Giovanni

Source: Mathematics (2227-7390); May2026, Vol. 14 Issue 9, p1517, 37p

Subject Terms: Gravitation, Electrodynamics, Numerical analysis, Nonlinear wave equations, State-space methods, Autonomous differential equations, Traveling waves (Physics)

ON THE EXISTENCE OF LIMIT CYCLES IN A FAMILY OF AUTONOMOUS THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS.

Authors: MELLAL, ROMAISSA¹ mellal.romaissa@univ-guelma.dz, SELLAMI, NABIL¹ sellami.nabil@univ-guelma.dz

Source: Bulletin of Mathematical Analysis & Applications. 2025, Vol. 17 Issue 3, p52-60. 9p.

Subject Terms: *Limit cycles, *Autonomous differential equations, *Zero (The number), *Ordinary differential equations, *Nonlinear functions

Avtonom diferensial tənliklərin həllinin yeganəlik meyarı.

Alternate Title: Uniqueness Criteria for the Solution of Autonomous Differential Equations.

Authors: Veysova, Səltənət¹ seltenet.veysova63@gmail.com, Paşayeva, Sima¹ sima.pashayeva73@gmail.com

Source: Scientific Work / Elmi Iş. 2025, Vol. 19 Issue 7, p74-82. 9p.

Subject Terms: *Autonomous differential equations, *Initial value problems, *Differential equations, *Integrals, *Neighborhoods

Fundamental temperature in the superstatistical description of non-equilibrium steady states

Authors: Davis, Sergio ^⁎

Source: In Physica A: Statistical Mechanics and its Applications 1 September 2026 697

Erratum: IR finite correlation functions in de Sitter space, a smooth massless limit, and an autonomous equation.

Authors: Kamenshchik, Alexander^1,2 (AUTHOR) kamenshchik@bo.infn.it, Petriakova, Polina^1,2 (AUTHOR) polina.petriakova@bo.infn.it

Source: Journal of High Energy Physics. Jun2026, Vol. 2026 Issue 6, p1-2. 2p.

Subject Terms: *Autonomous differential equations, *Scholarly periodical corrections, *Curved spacetime, *Green's functions

Integrable Cases of the Bautin System.

Authors: Edneral, Victor F.

Source: Mathematics in Computer Science; 4/29/2026, Vol. 20 Issue 1, p1-24, 24p

Subject Terms: Differential equations, Algebraic equations, Autonomous differential equations, Conservation laws (Physics), Resonance, Dynamical systems

The Finite Element Method for Stiff Ordinary Differential Equations.

Authors: Ding, Yanhui, Tang, Qiong, Tang, Sijia

Source: AppliedMath; Mar2026, Vol. 6 Issue 3, p40, 20p

Subject Terms: Finite element method, Ordinary differential equations, Exponential dichotomy, Stability (Mechanics), Autonomous differential equations, Numerical analysis

Dynamical Systems Approach to Non-Slow-Roll Inflationary Models.

Authors: Biswas, Sandip, Hussain, Saddam, Bhattacharya, Kaushik

Source: General Relativity & Gravitation; Feb2026, Vol. 58 Issue 2, p1-36, 36p

Subject Terms: Dynamical systems, Inflationary universe, Autonomous differential equations, State-space methods, Metaphysical cosmology

Dynamic survival analysis: Modelling the hazard function via ordinary differential equations.

Authors: Christen, J Andres¹ (AUTHOR), Rubio, F Javier² (AUTHOR) f.j.rubio@ucl.ac.uk

Source: Statistical Methods in Medical Research. Oct2024, Vol. 33 Issue 10, p1768-1782. 15p.

Subject Terms: *Autonomous differential equations, *Hazard function (Statistics), *Ordinary differential equations, *Maximum likelihood statistics, *Medical statistics