Results 1 to 10 of about 351 (130)
Trans-heteroclinic bifurcation: a novel type of catastrophic shift [PDF]
Royal Society Open Science, 2018 Global and local bifurcations are extremely important since they govern the transitions between different qualitative regimes in dynamical systems. These transitions or tipping points, which are ubiquitous in nature, can be smooth or catastrophic. Smooth
Josep Sardanyés
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Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system [PDF]
Scientific Reports, 2023 Little seems to be considered about the globally exponentially asymptotical stability of parabolic type equilibria and the existence of heteroclinic orbits in the Lorenz-like system with high-order nonlinear terms.
Haijun Wang +3 more
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Jump and Pull-in Instability of a MEMS Gyroscope Vibrating System [PDF]
Micromachines, 2023 Jump and pull-in instability are common nonlinear dynamic behaviors leading to the loss of the performance reliability and structural safety of electrostatic micro gyroscopes.
Yijun Zhu, Huilin Shang
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Journal of MathematicsBifurcation analysis constitutes a powerful tool for understanding transport flow phenomena arising from peristaltic motion in a curved heated endoscope. This approach is useful for assessing a peristaltic endoscope model in a curved tube.
Thoraya N. Alharthi
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International Journal of Mathematics and Mathematical SciencesThis study examines the second-order Kuramoto model within a specific small invariant subspace. We explore how the damping parameter influences the emergence of synchronized states and the weak chimera state in this model.
Mary G. Thoubaan +3 more
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Bifurcation analysis, modulation instability and dynamical analysis of soliton solutions for generalized (3 + 1)-dimensional nonlinear wave equation with m-fractional operator [PDF]
Scientific ReportsThis research investigates the bifurcation theory of a generalized (3 + 1)-dimensional P-type nonlinear wave equation with an M-fractional derivative (M-fGP-NWE) and develops its soliton solutions.
Mohamed S. Algolam +5 more
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Metastability induced by non-reciprocal adaptive couplings in Kuramoto models [PDF]
Frontiers in Network PhysiologyNon-reciprocal couplings are frequently found in systems out-of-equilibrium such as neuronal networks. Via bifurcation analysis and numerical integration we consider generalized Kuramoto models with non-reciprocal adaptive couplings.
Sayantan Nag Chowdhury +2 more
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Global orbit of a complicated nonlinear system with the global dynamic frequency method
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Global orbits connect the saddle points in an infinite period through the homoclinic and heteroclinic types of manifolds. Different from the periodic movement analysis, it requires special strategies to obtain expression of the orbit and detect the ...
Zhixia Wang +3 more
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Nine Limit Cycles in a 5-Degree Polynomials Liénard System
Complexity, 2020 In this article, we study the limit cycles in a generalized 5-degree Liénard system. The undamped system has a polycycle composed of a homoclinic loop and a heteroclinic loop.
Junning Cai, Minzhi Wei, Hongying Zhu
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Emerging criticality at bifurcation points in heteroclinic dynamics
Physical Review Research, 2020 Heteroclinic dynamics is a suitable framework to describe transient dynamics that is characteristic for ecological as well as neural systems, in particular for cognitive processes.
Maximilian Voit +1 more
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