Results 81 to 90 of about 5,743 (240)
Existence of heteroclinic orbits for systems satisfying monotonicity conditions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2003 The authors study the existence of heteroclinic orbits for systems of ordinary differential equations of the form \[ a_i(u_i,u_i')u_i''-qc_i(u_i,u_i')u_i'+M_i(u_i,u_i')u_i'+f_i(u)=0, \quad i=1,\dots ,n, \eqno(1) \] satisfying the monotonicity conditions \[ \frac{\partial f_i}{\partial u_j}\geq 0, \quad\frac{\partial M_i}{\partial u_j}\geq 0,\quad i\neq
Kaźmierczak, Bogdan, Volpert, Vitaly
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Electronic Current Density Induced by Uniform Magnetic Fields in Clarenes
Chemistry – A European Journal, Volume 30, Issue 43, August 1, 2024.Calculations of the magnetic response are reported for few selected clarenes, the most stable isomers among cycloarenes, as identified by maximization of the number of Clar sextets, and tested computationally. Only some of the rings endowed with a Clar sextet show an exaltation of the diatropic ring current, as could have been expected based on ...
Guglielmo Monaco +3 more
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Heteroclinic, Homoclinic and Closed Orbits in the Chen System [PDF]
International Journal of Bifurcation and Chaos, 2016 Bounded orbits such as closed, homoclinic and heteroclinic orbits are discussed in this work for a Lorenz-like 3D nonlinear system. For a large spectrum of the parameters, the system has neither closed nor homoclinic orbits but has exactly two heteroclinic orbits, while under other constraints the system has symmetrical homoclinic orbits.
G. Tigan, J. Llibre
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Bianchi Cosmologies with Anisotropic Matter: Locally Rotationally Symmetric Models
, 2009 The dynamics of cosmological models with isotropic matter sources (perfect fluids) is extensively studied in the literature; in comparison, the dynamics of cosmological models with anisotropic matter sources is not.
Andréasson +34 more
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Korteweg–de Vries waves in peridynamical media
Studies in Applied Mathematics, Volume 152, Issue 1, Page 376-403, January 2024.Abstract We consider a one‐dimensional peridynamical medium and show the existence of solitary waves with small amplitudes and long wavelength. Our proof uses nonlinear Bochner integral operators and characterizes their asymptotic properties in a singular scaling limit.
Michael Herrmann, Katia Kleine
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Heteroclinic orbits for retarded functional differential equations
Journal of Differential Equations, 1986 Suppose \(\Gamma\) is a heteroclinic orbit of a \(C^ k\) functional differential equation \(\dot x(t)=f(x_ t)\) with \(\alpha\)-limit set \(\alpha(\Gamma)\) and \(\omega\)-limit set \(\omega(\Gamma)\) being either hyperbolic equilibrium points or periodic orbits.
Hale, Jack K., Lin, X.-B.
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Relaxation Oscillation in SEIR Epidemic Models with the Intrinsic Growth Rate
Complexity, Volume 2024, Issue 1, 2024.The periodic oscillation transmission of infectious diseases is widespread, deep understanding of this periodic pattern and exploring the generation mechanism, and identifying the specific factors that lead to such periodic outbreaks, which are of very importanceto predict and control the spread of infectious diseases.
Yingying Zhang +3 more
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On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain
, 2009 The continuous and discrete symmetries of the Kuramoto-Sivashinsky system restricted to a spatially periodic domain play a prominent role in shaping the invariant sets of its chaotic dynamics. The continuous spatial translation symmetry leads to relative
Evangelos Siminos +5 more
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Approximate Damped Oscillatory Traveling Wave in Viscous Compressible Fluid With Capillary Effect
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.We convert the viscous compressible fluid equations with capillary effect into the equivalent planar dynamical system and illustrate the global qualitative phase diagrams corresponding to its bounded orbits by the qualitative theory of ordinary differential equations.
Xiang Li, Weiguo Zhang, Mariano Torrisi
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Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections
, 2007 We propose new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary conditions.
Afraimovich V. S. +5 more
core +4 more sources