Qualitative theory of dynamical systems

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  Año 2026, Vol. 25, Número 5

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    Exact Peakon, Periodic Peakon, Solitary Wave Solutions and Compactons of the Nesterenko Equation: Dynamical System Approach

    Hong Li, Jibin Li

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    Analysis of Lie Symmetries and Dynamic Solitonic Configurations of Various Invariant Solutions for a Heisenberg Ferromagnetic Spin Chain Model in Magnetism Theory

    Amit Kumar, Dharmendra Kumar, Ashwani Saharan

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    A Mechanism of Generating Two Limit Cycles in Planar Piecewise Linear Systems with a Subsystem Having No Equilibria

    Linlin Zhao, Jiafu Wang, Lihong Huang

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    Algebraic-Geometric and Diophantine Aspects of Liouvillian Integrability in the Theory of Polynomial Vector Fields

    Dana Schlomiuk, Pacôme Tabe, Nicolae Vulpe

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    Relative Cohomology and Deformations of Foliations with Holomorphic First Integrals

    Víctor Arturo Martínez León, Bruno Scárdua

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    Resonance in Isochronous Systems with Decaying Oscillatory and Stochastic Perturbations

    Oskar A. Sultanov

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    Solitons, Breathers, Lumps, and Hybrid Solutions for a (2+1)-Dimensional Variable Coefficient Shallow Water Wave Equation

    Jianwei Zhang, Lianzhong Li

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    Analysis of Traveling-Wave Solutions for a8 Field Model and a Highly Nonlinear Schrödinger Equation

    Jie Song, Feng Li, Jibin Li, Mingji Zhang

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    Local Thermal Non-equilibrium Convection in a Porous Medium with a Jeffreys Heat Flux in the Solid

    Brian Straughan

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    Nonautonomous Dynamical Systems I: Topological Pressures and Entropies

    Zhuo Chen, Jun Jie Miao

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    Limit Cycle Bifurcations for a Piecewise Smooth Cubic Differential System with Two Small Parameters

    Nan An, Qigui Fang, Jihua Yang

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    Jacobi Elliptic Function Method for (2+1)-Dimensional Maccari System with Multiplicative Brownian Noise: Solitary Wave Solutions, Nonlinear Dynamics and Numerical Verification

    Peng Guo, Liran Wang, Jianming Qi

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    One-Dimensional First Return Maps for the Two-Dimensional Border-Collision Normal Form with a Zero Determinant

    David J.W. Simpson

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    Limit Cycle Bifurcations in a Liénard System with a Hyperelliptic Gourd-Shaped Hamiltonian

    Qingying Xu, Liqin Zhao

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    Classification of Global Phase Portraits for Reversible Equivariant Hamiltonian Systems of Linear Plus Quintic Homogeneous Polynomials

    Jian Gao, Jiang Min, Junjian Liu, Hongping Ma

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    Length Spectrum of Periodic Rays for Billiard Flow

    Vesselin Petkov

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    Bifurcation and Stability Analysis of an Age-Structured HIV Model with Two Infection Routes and Two Time Delays

    Yuan Yuan, Jialiang Huang, Xianlong Fu

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    Global Asymptotic Stability in Kolmogorov Systems that Characterize Tridimensional Lotka–Volterra Systems

    Érika Diz Pita

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    Monotonicity of the Period Function in Planar Separable Hamiltonian Systems: An Extension of Chicone’s Criterion

    Francisco J.S. Nascimento

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    Solitary Waves, Periodic Waves and Chaos in a Perturbed Higher-Order Gardner Equation

    El-mahdi Nafia, Abdelmjid Benmerrous, Mhamed El Omari

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    Multiple Monotone Stationary Fronts for Discrete Bistable Systems on Pinning Interval

    Wen Xin Qin, Tong Zhou

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    Integrability and Bifurcation Analysis of the Problem of a Spherical Top Rolling on a Plane Without Spinning and with Partial Slipping

    Alexander A. Kilin, Tatiana B. Ivanova

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    Nullcline Geometry Constrains the Location of Oscillatory Instabilities in Planar Predator–Prey Systems

    E. Chan-López, Alberto Martín Ruiz, Víctor Castellanos Vargas

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    Application of Bifurcation Method to the (1 + 2)-Dimensional Chiral Nonlinear Schrödinger Equation

    Ming Song

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    Periodic Waves and Monotonicity of Wave Velocity in the pgKdV Equation with Two Arbitrarily High-Order Nonlinearities

    Tianrui An, Yanfei Dai

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    Distance-Induced Vector Fields Associated to Triangles

    Luiz Fernando Gonçalves, Ronaldo Alves Garcia

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    Hopf and Generalized Hopf Bifurcations in a Delayed Host-Parasite Model

    Yucen Jin, Pei Yu

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    Exact Order of Multiplicative Approximation in Beta Dynamical Systems

    Xiaohui Fu, Xinyun Zhang

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    Asymptotic Stability of Solitons for the Generalized Chen-Liu-Lee Equation

    Yin Ji, Ruiying Wei, Zheng-An Yao

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    Comparative Analysis of Iterative and Transform Methods for a (3+1)-Dimensional q-Deformed Dynamical Model

    Khalid K. Ali, Ahmed S. Shehata, Ahmet Bekir

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