Heteroclinic orbits in plane dynamical systems.
, 2002 The authors consider boundary value problem \[ \begin{cases} u'' = h (t, u, u'),\\ u (-\infty ) = 0, \quad u (+\infty ) = 1, \end{cases} \] where \(h\) is a continuous function and \(h (t, 0, 0) = h (t, 1, 0)=0\). There are established several conditions guaranteeing the existence and non-existence of the solution of the mentioned problem. The question
MALAGUTI, Luisa, C. Marcelli
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Heteroclinic orbits in a model for Langmuir circulations
Physics Letters A, 1985 Abstract Numerical studies of a 5-mode model for Langmuir circulations show the existence if two fundamentally different types of heteroclinic orbits and period-doubling bifurcations. The first is common to other models of competing instabilities; the second is quite new and appears to be related to the quintic Duffing equation.
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, 2000 A replicator equation with mutation processes is numerically studied. Without any mutations, two characteristics of the replicator dynamics are known: an exponential divergence of the dominance period, and hierarchical orderings of the attractors.
Chawanya T. +11 more
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A Novel Lorenz-like Attractor and Stability and Equilibrium Analysis
AxiomsThis paper introduces a novel 3D periodically forced extended Lorenz-like system and illustrates a single thick two-scroll attractor with potential unboundedness whose time series of the second state variable present some certain random characteristics ...
Jun Pan +3 more
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Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]
Proc Natl Acad Sci U S A, 2023 Pinsky T.
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Heteroclinic orbits for spatially periodic Hamiltonian systems [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1991 We study the existence of heteroclinic orbits for a Hamiltonian system \begin{align*} &\.{p} = −\mathrm{H}_{q}(p,q) \\ &\.{q} = \mathrm{H}_{p}(p,q) \end{align*} where the Hamiltonian is periodic in the space variable q
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Lyapunov-Schmidt Reduction for Unfolding Heteroclinic Networks of\n Equilibria and Periodic Orbits with Tangencies [PDF]
, 2009 Jens D. M. Rademacher
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Imperfect symmetry of real annular combustors: beating thermoacoustic modes and heteroclinic orbits [PDF]
, 2021 Abel Faure-Beaulieu +3 more
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Pseudo and true singularly degenerate heteroclinic cycles of a new 3D cubic Lorenz-like system
Results in PhysicsIn contrast to the coexistence of infinitely many pseudo and true singularly degenerate heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four-dimensional systems, this note reports the ones with nearby bifurcated ...
Haijun Wang +6 more
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Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system. [PDF]
Sci Rep, 2023 Wang H, Ke G, Pan J, Su Q.
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