Results 51 to 60 of about 633,095 (156)
The Classical Geometry of Chaotic Green Functions and Wigner Functions
PhysicsSemiclassical (SC) approximations for various representations of a quantum state are constructed on a single (Lagrangian) surface in the phase space but such surface is not available for chaotic systems.
Alfredo M. Ozorio de Almeida
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Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000 In this paper we apply dynamical systems techniques to the problem of heteroclinic connections and resonance transitions in the planar circular restricted three-body problem. These related phenomena have been of concern for some time in topics such as the capture of comets and asteroids and with the design of trajectories for space missions such as the
Koon, Wang Sang +3 more
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The heteroclinic connection problem for general double-well potentials [PDF]
, 2014 By variational methods, we provide a simple proof of existence of a heteroclinic orbit to a second order Hamiltonian ODE that connects the two global minima of a double-well potential.
Sourdis, Christos
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Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity coefficients are nonlinear smooth, positive functions of the specific volume, making the system the most ...
Raffaele Folino +2 more
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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
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Transverse Bifurcations Occurring on Simple Robust Homoclinic Cycles
MathematicsThis paper studies codimension-one transverse bifurcations of several classes of simple robust homoclinic cycles in group-symmetric systems on R5.
Yanqi Zhang +3 more
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Summability of canard-heteroclinic saddle connections
Journal of Differential Equations, 2016 In this article Gevrey properties of analytic invariant curves of analytic slow-fast systems \[ \begin{aligned} \dot{x} & =\varepsilon x, \\ \dot{y} & = \varphi(x)y+\varepsilon H(x,y,\varepsilon) \end{aligned} \] with \(\varphi(0)
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Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Open MathematicsConsider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities
Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
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Computing heteroclinic orbits using adjoint-based methods [PDF]
, 2018 Transitional turbulence in shear flows is supported by a network of unstable exact invariant solutions of the Navier-Stokes equations. The network is interconnected by heteroclinic connections along which the turbulent trajectories evolve between ...
DE PALMA, Pietro +8 more
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