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Topological phase locking in stochastic oscillators. [PDF]

open access: yesNat Commun
Chatzittofi M   +2 more
europepmc   +1 more source

Let there be multifunctionality: Uncovering the criticality zoo of the AC-DC genetic circuit

open access: yes
Maretvadakethope S   +5 more
europepmc   +1 more source
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Melnikov-type method for a class of hybrid piecewise-smooth systems with impulsive effect and noise excitation: Homoclinic orbits.

Chaos, 2022
The Melnikov method is extended to a class of hybrid piecewise-smooth systems with impulsive effect and noise excitation when an unperturbed system is a piecewise Hamiltonian system with a homoclinic orbit.
Yuxi Li   +3 more
semanticscholar   +1 more source

Homoclinic orbits for area preserving diffeomorphisms of surfaces

Ergodic Theory and Dynamical Systems, 2021
We show that $C^r $ generically in the space of $C^r$ conservative diffeomorphisms of a compact surface, every hyperbolic periodic point has a transverse homoclinic orbit.
P. Le Calvez, Mart'in Sambarino
semanticscholar   +1 more source

On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system.

Chaos, 2021
In this paper, infinite homoclinic orbits existing in the Lorenz system are analytically presented. Such homoclinic orbits are induced by unstable periodic orbits on bifurcation trees through period-doubling cascades. Each unstable periodic orbit ends at
Siyu Guo, A. Luo
semanticscholar   +1 more source

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