Results 11 to 20 of about 6,882 (256)
Existence of homoclinic orbit in generalized Liénard type system
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard type system. This trajectory is doubly asymptotic to an equilibrium solution, i.e., an orbit which lies in the intersection of the stable ...
Tohid Kasbi +2 more
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Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers
Results in Physics, 2022 The main purpose of this paper is to discuss the optical soliton solutions and phase portraits of the coupled Sasa–Satsuma model in nonlinear optics. This model is usually used to describe the propagation of femtosecond pulses in optical fibers. By using
Zhao Li +3 more
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Periodic Peakon and Smooth Periodic Solutions for KP-MEW(3,2) Equation
Advances in Mathematical Physics, 2021 In this paper, we consider the KP-MEW(3,2) equation by the bifurcation theory of dynamical systems when integral constant is considered. The corresponding traveling wave system is a singular planar dynamical system with one singular straight line.
Junning Cai, Minzhi Wei, Liping He
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Complex planar Hamiltonian systems: Linearization and dynamics
Discrete and Continuous Dynamical Systems, 2021 By now, there are lots of known results on real planar Hamiltonian systems but very few known results on complex planar Hamiltonian systems. The study of the dynamics of complex planar Hamiltonian systems has not only its own theoretical importance but also many practical applications.
Shi, Hua, Zhang, Xiang, Zhang, Yuyan
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Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers
Advances in Mathematical Physics, 2023 The main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system.
Chao Tang, Zhao Li
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The Mathematical Model and Deep Learning Features Selection for Whorl Fingerprint Classifications
International Journal of Computational Intelligence Systems, 2021 In this paper, different classes of the whorl fingerprint are discussed. A general dynamical system with a parameter θ is created using differential equations to simulate these classes by varying the value of θ.
Ibrahim Jawarneh, Nesreen Alsharman
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Symmetry in Planar Dynamical Systems
Journal of Symbolic Computation, 2002 In the study of dynamical systems, conditions for a critical point to be a centre are often sought. The sufficiency of such conditions is probed using various techniques, here, the authors exploit the possible symmetry of a given system. They describe an application of Gröbner bases in the search for a bilinear transformation of the system to one which
Noel G. Lloyd, Jane M. Pearson
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Planar Dynamical Systems with Pure Lebesgue Diffraction Spectrum [PDF]
Journal of Statistical Physics, 2010 We examine the diffraction properties of lattice dynamical systems of algebraic origin. It is well-known that diverse dynamical properties occur within this class. These include different orders of mixing (or higher-order correlations), the presence or absence of measure rigidity (restrictions on the set of possible shift-invariant ergodic measures to ...
Baake, M., Ward, T.
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Rich dynamics in planar systems with heterogeneous nonnegative weights
Communications on Pure and Applied Analysis, 2023 66 pages, 9 ...
Lopez-Gomez J. +2 more
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A New Criterion Beyond Divergence for Determining the Dissipation of a System: Dissipative Power
Frontiers in Physics, 2021 Divergence is usually used to determine the dissipation of a dynamical system, but some researchers have noticed that it can lead to elusive contradictions. In this article, a criterion, dissipative power, beyond divergence for judging the dissipation of
Xiaoliang Gan +6 more
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