Results 151 to 160 of about 2,258 (187)

Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop

Chaos, Solitons & Fractals, 2015
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Yanqin Xiong, Maoan Han
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The Bifurcations of Countable Connections from a Twisted Heteroclinic Loop

SIAM Journal on Mathematical Analysis, 1991
Codimension-two bifurcation phenomena associated with a non-degenerate heteroclinic loop between two relatively contracting saddles in a \(d \geq 2\)-dimensional system are studied. The bifurcation curves of homoclinic loops in the parameter space are characterized in terms of the twist properties of the heteroclinic loop at the bifurcation point.
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Bifurcation Analysis in a Class of Piecewise Nonlinear Systems with a Nonsmooth Heteroclinic Loop

International Journal of Bifurcation and Chaos, 2018
We consider the bifurcation in a class of piecewise polynomial systems with piecewise polynomial perturbations. The corresponding unperturbed system is supposed to possess an elementary or nilpotent critical point. First, we present 17 cases of possible phase portraits and conditions with at least one nonsmooth periodic orbit for the unperturbed system.
Yuanyuan Liu, Feng Li, Pei Dang
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Stability and Perturbations of Generalized Heteroclinic Loops in Piecewise Smooth Systems

Qualitative Theory of Dynamical Systems, 2017
In this paper, the author consider generalized heteroclinic loops in a class of planar piecewise smooth (PWS) systems, which are defined in two domains separated by a switching manifold. A generalized heteroclinic loop has a hyperbolic saddle point in one subsystem and a generalized singular point on the switching manifold.
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On the Number of Limit Cycles Bifurcated from Some Hamiltonian Systems with a Double Homoclinic Loop and a Heteroclinic Loop

International Journal of Bifurcation and Chaos, 2017
In this paper, we study the number of bifurcated limit cycles from near-Hamiltonian systems where the corresponding Hamiltonian system has a double homoclinic loop passing through a hyperbolic saddle surrounded by a heteroclinic loop with a hyperbolic saddle and a nilpotent saddle, and obtain some new results on the lower bound of the maximal number of
Moghimi, Pegah, Asheghi, Rasoul, Kazemi, Rasool   +2 more
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Intransitive loops in ecosystem models: From stable foci to heteroclinic cycles

Ecological Complexity, 2011
Abstract Several forms of intransitive loops are investigated with regard to their stabilizing properties in simple dynamic models. The intransitive loops are stabilizing when there is an odd number of species in the system. Furthermore, an intransitive loop can stabilize a chain of negative interactions that would otherwise be unstable.
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Perturbation of a Period Annulus Bounded by a Heteroclinic Loop Connecting Two Hyperbolic Saddles

Qualitative Theory of Dynamical Systems, 2016
The author considers the perturbed Liénard system \[ \dot{x} = y\;,\;\dot{y}= - {{1}\over{4}}x(x^2-1)(x^2+2)^2 + \varepsilon (\alpha_0+\alpha_1x^2+\alpha_2x^4+\alpha_3x^6)y, \] with ...
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Genome folding through loop extrusion by SMC complexes

Nature Reviews Molecular Cell Biology, 2021
Iain F Davidson, Jan-Michael Peters
exaly  

Phosphorus recovery and recycling – closing the loop

Chemical Society Reviews, 2021
Andrew R Jupp, Steven Beijer, Assoc prof J Chris Slootweg   +2 more
exaly  

Closed-loop neuromodulation in an individual with treatment-resistant depression

Nature Medicine, 2021
Katherine W Scangos, Ankit N Khambhati, Hashem Zamanian   +2 more
exaly