Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling [PDF]
, 2001 The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the formation of a ...
A.T. Winfree +18 more
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Direct approach to detect the heteroclinic bifurcation of the planar nonlinear system
, 2016 In this paper, we present a novel way of directly detecting the heteroclinic bifurcation of nonlinear systems without iteration or Melnikov type integration.
Ling-Hao Zhang, Wei Wang
openalex +3 more sources
Sovereign debt, fiscal policy, and macroeconomic instability
Journal of Public Economic Theory, Volume 24, Issue 6, Page 1386-1412, December 2022., 2022 Abstract We study the relation between capital accumulation, fiscal policy, and sovereign debt dynamics in a small open economy. The government maximizes spending, facing borrowing constraints and a conditionality requirement. Debt dynamics are forward looking, being driven by the endogenous borrowing constraint.
Francesco Carli, Leonor Modesto
wiley +1 more source
Network Inoculation: Heteroclinics and phase transitions in an epidemic model [PDF]
, 2016 In epidemiological modelling, dynamics on networks, and in particular adaptive and heterogeneous networks have recently received much interest. Here we present a detailed analysis of a previously proposed model that combines heterogeneity in the ...
Anderson R. M. +7 more
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Chaotic Threshold of a Nonlinear Zener Systems Based on the Melnikov Method
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Regarding a nonlinear Zener model with a viscoelastic Maxwell element as the research object, the complicated dynamic behaviors such as homoclinic bifurcation and chaos under harmonic excitation are investigated. At first, the analytically necessary condition for chaos in the sense of Smale horseshoe is derived based on the Melnikov method.
Shutong Fan +3 more
wiley +1 more source
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators
Fractal and Fractional, 2022 The investigation of global bifurcation behaviors the vibrating structures of micro-electromechanical systems (MEMS) has received substantial attention. This paper considers the vibrating system of a typical bilateral MEMS resonator containing fractional
Yijun Zhu, Huilin Shang
doaj +1 more source
Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection [PDF]
, 1998 We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this ‘cycling chaos’ manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets interspersed with short ...
A.M. Rucklidge +23 more
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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators
Shock and Vibration, 2022 The vibrating system of a class of linkage-slider structure is considered, and its initial-sensitive dynamical behaviors such as safe jump, locking instability, and chaos are studied. First, static bifurcation of the dynamical system is discussed.
Bo Qin, Huilin Shang, Huimin Jiang
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Dynamics of a Predator–Prey Model with the Additive Predation in Prey
Mathematics, 2022 In this paper, we consider a predator–prey model, in which the prey’s growth is affected by the additive predation of its potential predators. Due to the additive predation term in prey, the model may exhibit the cases of the strong Allee effect, weak ...
Dingyong Bai, Xiaoxuan Zhang
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