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Friction generated limit cycles [PDF]
IEEE Transactions on Control Systems Technology, 2001 This paper treats limit cycles caused by friction. The goal has been to explain phenomena that have been observed experimentally in mechatronic systems. Experiments have shown that oscillations of qualitatively different types can be obtained simply by changing controller specifications. Stiction is important in some cases but not in others.
Ohlsson, Henrik, Åström, Karl Johan
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Generation of and switching among limit-cycle bipedal walking gaits [PDF]
IEEE Conference on Decision and Control, 2017 In this paper we provide a method to generate a continuum of limit cycles using a single precomputed exponentially stable limit cycle designed within the Hybrid Zero Dynamics framework.
Sushant Veer +2 more
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Cheap complex limit cycles [PDF]
Nonlinearity, 2018 Consider a holomorphic foliation with singularities of a 2-dimensional complex manifold. In this article we prove a new sufficient condition for this foliation to have countably many homologically independent complex limit cycles. In particular, if all leaves of a foliation are dense in the phase space, and it has a complex hyperbolic singular point ...
N Goncharuk, Yu Kudryashov
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Studying the Stability of Some Models Combinatory with Application [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 In this paper we find the statistical properties (Moments) of the harmonic model with additive noise, The stability of the mixed spectra (linear and non-linear models) for special case (low order) by using the Ozaki linear approximation method is found
Abdulghafoor Salim, Raad Alhamdani
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Global Dynamics of a Predator–Prey System with Cooperative Hunting
Applied Sciences, 2023 We consider a predator–prey system with cooperative hunting. The parameter space of the system is divided into several mutually exclusive regions. Based on the investigation of the dynamical properties in each parameter region, we provide a complete ...
Dingyong Bai, Jiaoxin Tang
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Bifurcation Analysis of a Stochastically Driven Limit Cycle [PDF]
Communications in Mathematical Physics, 2016 We establish the existence of a bifurcation from an attractive random equilibrium to shear-induced chaos for a stochastically driven limit cycle, indicated by a change of sign of the first Lyapunov exponent.
Maximilian Engel, J. Lamb, M. Rasmussen
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LIMIT CYCLE AND CONSERVED DYNAMICS [PDF]
International Journal of Modern Physics B, 2006 We demonstrate here that the potential can coexist with limit cycle in nonlinear dissipative dynamics, where the potential plays the driving role for dynamics and determines the final steady state distribution in a manner similar to other situations in physics.
Zhu, X.-M., Yin, L., Ao, P.
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Limit Cycles in Quantum Theories [PDF]
Physical Review Letters, 2002 8 pages, 1 ...
Głazek, Stanisław D. +1 more
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Canard Limit Cycle of the Holling-Tanner Model
Discrete Dynamics in Nature and Society, 2014 By using the singular perturbation theory on canard cycles, we investigate the canard phenomenon for the Holling-Tanner model with the intrinsic growth rate of the predator small enough.
Chongwu Zheng +2 more
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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