Periodic Third-Order Problems with a Parameter
This work concerns with the solvability of third-order periodic fully problems with a weighted parameter, where the nonlinearity must verify only a local monotone condition and no periodic, coercivity or super or sublinearity restrictions are assumed, as
Feliz Minhós, Nuno Oliveira
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Evolutionary dynamics on a regular networked structured and unstructured multi‐population
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar +2 more
wiley +1 more source
Fuzzy fractional differential equations with Nagumo and Krasnoselskii-Krein condition [PDF]
In this paper, we consider two new uniqueness results for fuzzy fractional differential equations (FFDEs) involving Riemann-Liouville generalized H-differentiability with the Nagumo-type condition and the Krasnoselskii-Krein-type condition. To this purpose, the equivalent integral forms of FFDEs are determined and then these are used to study the ...
Tofigh Allahviranloo +2 more
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Stochastic periodic orbits in fast-slow systems with self-induced stochastic resonance
Noise is ubiquitous in various systems. In systems with multiple timescales, noise can induce various coherent behaviors. Self-induced stochastic resonance (SISR) is a typical noise-induced phenomenon identified in such systems, wherein noise acting on ...
Jinjie Zhu, Hiroya Nakao
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Bifurcation Results for Periodic Third-Order Ambrosetti-Prodi-Type Problems
This paper presents sufficient conditions for the existence of a bifurcation point for nonlinear periodic third-order fully differential equations. In short, the main discussion on the parameter s about the existence, non-existence, or the multiplicity ...
Feliz Minhós, Nuno Oliveira
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Nagumo conditions and second-order quasilinear equations with compatible nonlinear functional boundary conditions [PDF]
Assuming the existence of ordered lower and upper solutions for \[ -\frac{d}{dt} \varphi(t,x,x(t),x'(t))=f(t,x,x(t),x'(t)) \quad \text{a.e. on } [0,1], \] the authors establish the existence of solutions to the above differential equation subject to general functional boundary conditions of the form \[ G(x(0),x(1),x,x'(0),x'(1))=(0,0), \] where ...
Mawhin, Jean, Thompson, H. B.
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Synchronization of Memristive FitzHugh-Nagumo Neural Networks
A new mathematical model of neural networks described by diffusive FitzHugh-Nagumo equations with memristors and linear synaptic coupling is proposed and investigated. The existence of absorbing set for the solution semiflow in the energy space is proved
Tu, Junyi, You, Yuncheng, Tian, Jing
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On the Electrical Modeling and Synchronization of Diffusively Coupled FitzHugh-Nagumo Oscillators
We study the synchronization behavior of a class of identical FitzHugh-Nagumo-type oscillators under linear diffusive coupling. We describe the oscillators by a circuit model and we provide a sufficient synchronization condition that relies on the shape ...
Ralf Köhl (14225497) +3 more
core +1 more source
Synchronization Analysis of Multiple FitzHugh-Nagumo Noisy and Nonnoisy Neurobiological Networks
In the biological neural bursting and firing synchronization plays a vital role in all neuronal activities that are utilized for making decisions, executing commands, and sending information by neurons and their complex networks in the biological ...
Ali, Muhammad Umair +7 more
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This paper deals with two types of systems of second-order differential equations with parameters: coupled systems with the boundary conditions of the Sturm–Liouville type and classical systems with Dirichlet boundary conditions.
Feliz Minhós, Gracino Rodrigues
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