Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition by Qiansheng Tang, Chaofeng Li, Bangchun Wen

“…In the study of nonlinear dynamic responses of thin-wall cylindrical shell with supported clearance under external loads, the Newmark method is used to obtain time history, frequency spectrum plot, phase portraits, Poincare section, bifurcation diagrams, and three-dimensional spectrum plot with different parameters. …”
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Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study by Zeric Tabekoueng Njitacke, Theophile Fonzin Fozin, Christian Tchito Tchapga, Gervais Dolvis Leutcho, K. Marcel Wouapi, Jacques Kengne

“…Nonlinear dynamical tools including bifurcation diagrams, standard Lyapunov exponents, phase portraits, and cross section of initial conditions are exploited to reveal the selection scenarios of the survived attractor in the multistability control process of Chua’s system. …”
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L'œuvre d'art en tant que témoignage: les artistes confrontés à la guerre by Dolores Fernández Martínez

“…To what extent this example, that portraits the yearnings of people, can be considered testimonial? …”
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Topsy Turvy de Mike Leigh : l’envers du décor ou la norme mise à mal by Isabelle Cases

“…Mike Leigh faithfully describes the collaboration between Gilbert and Sullivan, as well as a rigid Victorian society nevertheless characterized by resistance in many ways. The portraits of women and artists are particularly telling in this respect. …”
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Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations by Zhao Li, Peng Li, Tianyong Han

“…In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. …”
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Dynamics of Fractional-Order Three-Species Food Chain Model with Vigilance Effect by Vinoth Seralan, Rajarathinam Vadivel, Nallappan Gunasekaran, Taha Radwan

“…To support the analytical findings, numerical simulation results are given in terms of time series, phase portraits, and bifurcation diagrams. It is discovered that the proposed model can become more stable under a fractional-order derivative. …”
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Nonlinear Dynamics in a Chemical Reaction under an Amplitude-Modulated Excitation: Hysteresis, Vibrational Resonance, Multistability, and Chaos by A. V. Monwanou, A. A. Koukpémèdji, C. Ainamon, P. R. Nwagoum Tuwa, C. H. Miwadinou, J. B. Chabi Orou

“…Routes to chaos have been investigated through bifurcations structures, Lyapunov exponent, phase portraits, and Poincaré section. The effects of the control force on chaotic motions have been strongly analyzed, and the control efficiency is found in the cases g=0 (unmodulated case) and g≠0 with Ω=ω and Ω/w≠p/q; p and q are simple positive integers. …”
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Saliamonas Antanaitis (1894–1973) and his research into the old mathematics by Juozas Banionis

“…Articles on mathematics history must be paid attention to because they threw the light both on the portraits of the famous creators in the period of elementary mathematics (until 17th century) and their merits in this scientific field. …”
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Teaching how to critically read Indo-Caribbean bodies in nineteenth-century postcards by Rupa Pillai

“…From village scenes to Indo-Caribbean women in studio portraits, the bodies featured in these postcards appear in ethnographic views to promote perceptions of Indo-Caribbeans as being exotic and different. …”
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Freak Shows on the Page: Defining ‘criminanimality’ in Newgate Fiction (1830-1847) by Hubert Malfray

“…In these, we discover portraits of criminals whose infamy was linked with and defined via the prism of animality. …”
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Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…Under the given parameters, 2D and 3D phase portraits, time series, return map, Lyapunov exponent, recurrence plot, strange attractor, bifurcation diagram, and fractal dimension plot are provided. …”
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Enhancing Ikeda Time Delay System by Breaking the Symmetry of Sine Nonlinearity by Xiaojing Gao

“…Numerical simulations, carried out in terms of bifurcation diagrams, Lyapunov exponents spectrum, phase portraits, and two-parameter (2D) largest Lyapunov exponent diagrams are employed to highlight the complex dynamical behaviors exhibited by the enhanced system. …”
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From Law Book to Legal Book: The Origin of a Species by Michael Widener

“…The article develops a definition of »legal book« using illustrations of law books that are taken from the books themselves, including allegorical images, author portraits, and depictions of lawyers at work. These images highlight the book’s function in law as symbol, text, and artifact. …”
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On Class of Fractional-Order Chaotic or Hyperchaotic Systems in the Context of the Caputo Fractional-Order Derivative by Ndolane Sene, Ameth Ndiaye

“…The behaviors of the dynamics of this particular class of fractional-order systems will be proposed and experienced by a numerical scheme to obtain the phase portraits. Before that, we will provide the conditions under which the considered fractional-order system’s solution exists and is unique. …”
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Holling-Tanner Predator-Prey Model with State-Dependent Feedback Control by Jin Yang, Guangyao Tang, Sanyi Tang

“…The Poincaré map is first constructed based on the phase portraits of the model. Then the main properties of the Poincaré map are investigated in detail which play important roles in the proofs of the existence of limit cycles, and it is concluded that the definition domain of the Poincaré map has a complicated shape with discontinuity points under certain conditions. …”
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A new publication on the history of Tuva (about the book by Z. Y. Dorzhu and O. Y. Irgit Рolitical repressions in the Tuva People’s Republic (1921–1944) – Novosibirsk, 2023) by S. A. Papkov

“…The reviewed work vividly presents historical portraits of major leaders of Tuva, demonstrates methods and ways of their promotion to political avantgarde, as well as the tragic end of careers of many of them. …”
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Synchronous Reluctance Motor: Dynamical Analysis, Chaos Suppression, and Electronic Implementation by Balamurali Ramakrishnan, Andre Chéagé Chamgoué, Hayder Natiq, Jules Metsebo, Alex Stephane Kemnang Tsafack

“…The different dynamical behaviors (including monostable periodic behaviors, bistable periodic behaviors, monostable chaotic behaviors, and bistable chaotic behaviors) found in the SynRM without external inputs are illustrated in the two parameters largest Lyapunov exponent (LLE) diagrams, one parameter bifurcation diagram, and phase portraits. The three single controllers are designed to suppress the chaotic behaviors found in SynRM without external inputs. …”
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Chaotic Dynamics of the Fractional Order Predator-Prey Model Incorporating Gompertz Growth on Prey with Ivlev Functional Response by G.s. Mahapatra, Sarker Md Sohel Rana, Md. Jasim Uddin, P. K. Santra

“…For various model parameters, bifurcation diagrams, phase portraits, and time graphs are obtained. Theoretical predictions and long-term chaotic behaviour are supported by numerical simulations across a wide variety of parameters. …”
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Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells by Xiangying Guo, Dameng Liu, Wei Zhang, Lin Sun, Shuping Chen

“…Bifurcation diagram, two-dimensional and three-dimensional phase portraits, waveforms phases, and Poincare diagrams are shown to find different kinds of periodic and chaotic motions of MFC shells. …”
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Memristor-Based Canonical Chua’s Circuit: Extreme Multistability in Voltage-Current Domain and Its Controllability in Flux-Charge Domain by Han Bao, Tao Jiang, Kaibin Chu, Mo Chen, Quan Xu, Bocheng Bao

“…With the voltage-current model, the initial condition-dependent extreme multistability is explored through analyzing the stability distribution of line equilibrium point and then the coexisting infinitely many attractors are numerically uncovered in such a memristive circuit by the attraction basin and phase portraits. Furthermore, based on the accurate constitutive relation of the memristor emulator, a set of incremental flux-charge describing equations for the memristor-based canonical Chua’s circuit are formulated and a dimensionality reduction model is thus established. …”
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