Stable-to-unstable transition in quantum friction by Daigo Oue, J. B. Pendry, Mário G. Silveirinha

“…Here, we develop a fully quantum-mechanical theory without perturbative approximations, and we unveil the transition from stable to unstable regimes of the quantum friction setup. …”
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A Dynamic Landslide Warning Model Based on Grey System Theory by Ke Ma, He Weng, Yumin Chen, Saeed Sarajpoor, Yang Shen

“…This paper proposes a dynamic landslide warning model that integrates the concept of risk with grey system theory, using a small amount of real-time monitoring data. …”
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Study on Catastrophe Instability of Support System in Gypsum Goaf Based on Energy Dissipation Theory by Yuejin Zhou, Xiaoding Xu, Xiaotong Li, Meng Li, Yugui Yang

“…Through establishing a cusp catastrophe model based on energy theory, the new criterion for instability was obtained which is related with geometric stiffness and system energy dissipation. …”
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Asymptotically stable data-driven koopman operator approximation with inputs using total extended DMD by Louis Lortie, James Richard Forbes

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Development and evaluation of the organization`s logistics strategy based on the application of bifurcation theory by M. Yu. Uchirova, L. A. Ilin, S. V. Khudyakov

“…The authors reveal that the bifurcation theory allows you to determine the conditionality of a qualitative dynamic change in the behavior of a logistics system by an infinitesimal change in certain parameters of the system. …”
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Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle-Node Bifurcations: A Theoretical Study Based on Synergetics by Till D. Frank

“…At the heart of synergetics is the concept of so-called unstable modes or order parameters that determine the behavior of systems as a whole close to bifurcation points. …”
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Applications of the Kosambi–Cartan–Chern Theory to Hamiltonian Systems on a Cotangent Bundle: Linking Geometric Quantities to the Self-Similar Motions of Three Point Vortices by Yuma Hirakui, Takahiro Yajima

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Theory of neutrino fast flavor evolution. Part II. Solutions at the edge of instability by Damiano F. G. Fiorillo, Georg G. Raffelt

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From Behaviorism to Neoconstructivism: A Review of Educational Theories for the Development of Independence in the Conditions of Destruction by Yulia N. Koreshnikova, Pavel S. Sorokin

“…An increasing number of cases have revealed that previously stable systems have shown attitudes towards unstable ones, not only generating risks, but also showing opportunities for manifestation in the manifestation of new communities and manifestations of action. …”
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On the structural stability of a simple cosmological model in R + αR2 theory of gravity by Orest Hrycyna

“…The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. …”
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Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle by Yanbin Liu, Mengying Liu, Peihua Sun

“…This paper presents a robust stabilization controller based on the guardian maps theory for hypersonic vehicle. First, the guardian maps theories are provided to explain the constraint relations between the open subsets of complex plane and the eigenvalues of the state matrix of closed-loop control system. …”
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Advanced Fractional Mathematics, Fractional Calculus, Algorithms and Artificial Intelligence with Applications in Complex Chaotic Systems by Dumitru Baleanu, Yeliz Karaca

“…Hence, complexity theory focuses on non-deterministic systems, whereas chaos theory rests on deterministic systems. …”
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Integrated Assessment of the Quality of Functioning of Local Electric Energy Systems by Waldemar Wójcik, Petro Lezhniuk, Cezary Kaczmarek, Viacheslav Komar, Iryna Hunko, Nataliia Sobchuk, Laura Yesmakhanova, Zhazira Shermantayeva

“…The integral indicator of the functioning of complex systems is based on a combination of the theory of Markov processes and the criterion method of similarity theory. …”
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Predicting Tipping Points in a Family of PWL Systems: Detecting Multistability via Linear Operators Properties by Joaquin Alvarez-gallegos, Sishu Shankar Muni, Hector Gilardi-velázquez, Rıcardo Cuesta-garcía, J. L. Echenausía-monroy

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Lack of Correct Writing and Critical Attitude in Expressing Syntactic Principles Critique of Form and Content in the Book of Syntactic Theory in the Form of Argumentative Commenta... by Malik Abdi

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EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS by Viorica Mariela UNGUREANU, Carmen Iuliana BĂRBĂCIORU

“…Exponential dichotomy is a type of conditional stability which involves the decomposition of the state space of the system into stable and unstable subspaces. By using the solution representations from [3], we provide two necessary and sufficient conditions for the uniform exponential dichotomy of the stochastic systems. …”
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Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans by Scott A. Hadley, Lawrence K. Forbes

“…The limit cycles are analysed using Floquet theory and are found to change from stable to unstable as a solution branch is traversed.…”
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Existence of Solution and Self-Exciting Attractor in the Fractional-Order Gyrostat Dynamical System by Muhammad Marwan, Gauhar Ali, Ramla Khan

“…Moreover, this iterative scheme is injected into algorithms for a system of integer order dynamical systems to observe Lyapunov exponents and a bifurcation diagram for our proposed fractional-order dynamical model. …”
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Research on a 3D Predator-Prey Evolutionary System in Real Estate Market by Yujing Yang, Wenzhe Tang

“…We arrive at conclusions that the phenomenon of chaos is harmful to private enterprises, and unstable behavior is often unfavorable. Thus, linear feedback control is applied to drive the model to a stable state when the system exhibits chaotic behaviors, achieving the goal of eliminating the negative effects to a large extent.…”
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RELIABILITY ANALYSIS FOR VIBRATION STABILITY OF DISC BRAKE SYSTEM WITH THЕ HYBRID PARAMETERS by HE Ning, ZHANG DeLong, ZHANG QingHua

“…In view of the brake squeal suppression problem of automotive disc brakes during braking, the effects of brake imbalance and uncertainty in brake parameters, a stability and reliability analysis method of disc brake with the hybrid parameters was proposed by combining response surface methodology, finite element method, and reliability analysis theory. In this method . random, uncertain interval and fuzzy parameters were used to describe the dynamie characteristies of the brake system, and an unstable order response surface agent model of the disc brake system was established including random parameters, uncertain interval parameters and fuzzy parameters. …”
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