Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators [PDF]
, 2007 Peter Ashwin +2 more
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Heteroclinic Bifurcations and Invariant Manifolds in Rocking Block Dynamics
Zeitschrift für Naturforschung A, 1991 Abstract A simple model of rigid block motion under the influence of external perturbations is discussed. For periodic forcings we prove the existence of Smale horseshoe chaos in the dynamics. For slender blocks a heteroclinic bifurcation condition is calculated exactly, i.e. without using perturbation methods.
B. P. Koch, B. Bruhn
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On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci [PDF]
, 2010 С. В. Гонченко +1 more
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Dynamics of a New Four-Thirds-Degree Sub-Quadratic Lorenz-like System
AxiomsAiming to explore the subtle connection between the number of nonlinear terms in Lorenz-like systems and hidden attractors, this paper introduces a new simple sub-quadratic four-thirds-degree Lorenz-like system, where x˙=a(y−x), y˙=cx−x3z, z˙=−bz+x3y ...
Guiyao Ke +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this work, we analyze a bi-dimensional differential equation system obtained by considering Holling type II functional response in prey–predator model with strong Allee effect in prey.
Partha Mandal, Aadil Lahrouz
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Bifurcations at infinity, invariant algebraic surfaces, homoclinic and heteroclinic orbits and centers of a new Lorenz-like chaotic system [PDF]
, 2015 Márcio R. A. Gouveia +2 more
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On the Number of Limit Cycles Bifurcated from a Near-Hamiltonian System with a Double Homoclinic Loop of Cuspidal Type Surrounded by a Heteroclinic Loop [PDF]
, 2018 Pegah Moghimi +2 more
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Heteroclinic networks for brain dynamics. [PDF]
Front Netw Physiol, 2023 Meyer-Ortmanns H.
europepmc +1 more source
Stability and bifurcation analysis in a predator prey model involving additive Allee effect
Revista IntegraciónIn this paper we study codimension 1 Hopf bifurcation for a two dimensional autonomous nonlinear ordinary differential equations system, modeling a predator-prey interaction with Holling type II functional response and additive Allee effect in the prey ...
Jocirei Dias Ferreira +2 more
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Self-oscillations in an Alpha Stirling Engine: a bifurcation analysis
, 2019 We study a thermo-mechanical system comprised of an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establish a static relation between the flywheel's angle and the forces exerted by the two power ...
Castanos, Fernando, Gromov, Dmitry
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