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Oikos, ISSN 0030-1299, 1/2007, Volume 116, Issue 1, pp. 53 - 64
Periodic predator-prey dynamics in constant environments are usually taken as indicative of deterministic limit cycles. It is known, however, that demographic... 
Population ecology | Determinism | Ecological modeling | Predators | Time series | Oscillation | Population size | Limit cycles | Stochastic models | Autocorrelation | 10-YEAR CYCLE | CANADA | COMMUNITY | NUMBERS | NORMALITY | DYNAMICS | ECOLOGY | Animal populations | Predation | Ecosystems | Mathematical analysis
Journal Article
Journal of Political Economy, ISSN 0022-3808, 10/2013, Volume 121, Issue 5, pp. 940 - 965
This paper studies models of credit with limited commitment and, therefore, endogenous debt limits. There are multiple stationary equilibria plus nonstationary... 
Economics | Steady state economies | Economic models | Credit | Economic fluctuations | Debt limits | Economic modeling | Investment credit | Nash equilibrium | Sunspots | LIQUIDITY | ECONOMICS | MODEL | FLUCTUATIONS | SUNSPOT EQUILIBRIA | BUBBLES | Credit management | Analysis
Journal Article
Nonlinearity, ISSN 0951-7715, 02/2018, Volume 31, Issue 3, pp. 909 - 919
Consider a holomorphic foliation with singularities of a two-dimensional complex manifold. In this article we prove a new sufficient condition for this... 
holonomy map | complex limit cycles | polynomial foliations | ODEs with complex time | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Mathematics - Complex Variables
Journal Article
International Journal of Hydrogen Energy, ISSN 0360-3199, 2008, Volume 33, Issue 18, pp. 4876 - 4883
Cycle-by-cycle variations of a spark ignition engine fueled with natural gas–hydrogen blends with hydrogen volumetric fraction of 0%, 12%, 23%, 30% and 40%... 
Cycle-by-cycle variations | Spark ignition engine | Hydrogen | Natural gas | ELECTROCHEMISTRY | EMISSIONS | ENERGY & FUELS | PERFORMANCE | CHEMISTRY, PHYSICAL | EXTENSION | LIMIT | METHANE | ENRICHMENT
Journal Article
Nonlinear Analysis: Hybrid Systems, ISSN 1751-570X, 08/2019, Volume 33, pp. 162 - 178
The aim of this paper is to deal with the problem of limit cycles for a general planar piecewise linear differential system of saddle–focus type. By using the... 
Discontinuity | Stability | Liénard-like canonical form | Planar piecewise linear system | Limit cycle | EXISTENCE | MATHEMATICS, APPLIED | NUMBER | EQUATIONS | HOPF BIFURCATIONS | DIFFERENTIAL-SYSTEMS | UNIQUENESS | PERIODIC-ORBITS | Lienard-like canonical form | AUTOMATION & CONTROL SYSTEMS | Linear systems | Research | Mathematical research | Functions, Discontinuous
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123862
In the paper [J. Math. Anal. Appl. 428 (2015) 735–749], Gasull et al. study 3-monomial differential equations z˙=Az+Bzkz¯l+Czmz¯n,z∈C. They show that for each... 
Limit cycles | [formula omitted]-equivariant symmetry | Coexistence of limit cycles | Abelian integrals | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | PERTURBATIONS | Z(q)-equivariant symmetry
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2019, Volume 469, Issue 1, pp. 405 - 427
The objective of this paper is to study the number and stability of limit cycles for planar piecewise linear (PWL) systems of node–saddle type with two linear... 
Stability | Poincaré–Bendixon theorem | Limit cycle | Piecewise linear differential systems | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | FILIPPOV SYSTEMS | DIFFERENTIAL-EQUATIONS | Poincare-Bendixon theorem | UNIQUENESS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2007, Volume 76, Issue 3, p. 031105
In order to describe quantum heat engines, here we systematically study isothermal and isochoric processes for quantum thermodynamic cycles. Based on these... 
LANDAUERS ERASURE | EXORCIZE MAXWELLS DEMON | PHYSICS, FLUIDS & PLASMAS | CARNOT CYCLE | PRINCIPLE | LIMIT | COMPUTATION | PHYSICS, MATHEMATICAL | EFFICIENCY | FINITE-TIME | ENTROPY | Physics - Quantum Physics
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2020, Volume 482, Issue 1, p. 123525
The aim of this paper is to study the existence of limit cycles for a family of generalized Abel equations x′=A(t)xm+B(t)xn, m,n≥2. Under certain assumptions,... 
Alien limit cycles | Bifurcation | Abel equation | Periodic solutions | Abelian integrals | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | DIFFERENTIAL-EQUATIONS
Journal Article
Nuclear Fusion, ISSN 0029-5515, 08/2017, Volume 57, Issue 11, p. 116037
The development of low-order tearing modes during density ramp-up in the high density regime on the Frascati Tokamak Upgrade is characterized by an initial... 
magnetic island | limit cycle | tearing mode | PHYSICS, FLUIDS & PLASMAS | MODE | PLASMAS | MAJOR DISRUPTIONS | TOKAMAKS
Journal Article
Energy Policy, ISSN 0301-4215, 06/2012, Volume 45, pp. 576 - 582
A high energy return on energy investment (EROI) of an energy production process is crucial to its long-term viability. The EROI of conventional thermal... 
Electricity | EROI | Photovoltaics | UNITED-STATES | WIND | LIMITS | ENERGY & FUELS | NET ENERGY | ENVIRONMENTAL SCIENCES | EXTRACTION | PEAK OIL | GROWTH | GAS | POWER-SYSTEMS | ENVIRONMENTAL STUDIES | Life cycle assessment | Economic aspects | Fossil fuels | Energy use | Energy minerals | Methods | Studies | Return on investment | Photovoltaic cells | Electricity generation | Life cycles | 14
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 08/2018, Volume 28, Issue 9, p. 1850115
In this paper, we present a complete study of the well-known Bogdanov–Takens bifurcation and give a rigorous proof for the uniqueness of limit cycles. 
limit cycle | Bogdanov-Takens bifurcation | NUMBER | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | EQUATIONS | SYSTEMS | VECTOR-FIELDS | HOPF
Journal Article
Proceedings: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 3/2010, Volume 466, Issue 2115, pp. 771 - 788
Recent studies on stochastic oscillations mostly focus on the power spectral analysis. However, the power spectrum yields information only on the frequency of... 
Molecules | Determinism | Maps | Odes | Oscillation | Steady states | Ordinary differential equations | Limit cycles | Biochemistry | Kinetics | Cycle flux | Stochastic limit cycle | Poincaré map | cycle flux | CIRCULATION | LANDSCAPE | MULTIDISCIPLINARY SCIENCES | NETWORKS | NOISE | SYNCHRONIZED DYNAMICS | RESONANCE | CHEMICAL-SYSTEMS | KINETICS | oscillation | stochastic limit cycle | Poincare map
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 250, Issue 4, pp. 2162 - 2176
Based on geometric singular perturbation theory we prove the existence of classical Liénard equations of degree 6 having 4 limit cycles. It implies the... 
Singular perturbations | Relaxation oscillation | Limit cycles | Classical Liénard equations | Slow–fast system | Slow-fast system | MATHEMATICS | Classical Lienard equations
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 5/2018, Volume 92, Issue 3, pp. 1159 - 1166
For a $$C^{m+1}$$ Cm+1 differential system on $$\mathbb {R}^n$$ Rn , we study the limit cycles that can bifurcate from a zero–Hopf singularity, i.e., from a... 
Primary 37J35 | Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Automotive Engineering | Limit cycles | Mechanical Engineering | Zero–Hopf singularity | 37K10 | Arbitrary dimension | MECHANICS | Zero-Hopf singularity | DIFFERENTIAL-SYSTEMS | ENGINEERING, MECHANICAL | Eigenvalues | Competitive advantage | Taylor series | Bifurcations
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 9/2019, Volume 97, Issue 4, pp. 2453 - 2468
Journal Article
Journal of Fluids and Structures, ISSN 0889-9746, 2011, Volume 27, Issue 8, pp. 1182 - 1198
Nonlinear limit cycle oscillations of an aeroelastic energy harvester are exploited for enhanced piezoelectric power generation from aerodynamic flows.... 
Piezoelectricity | Aeroelasticity | Energy harvesting | MECHANICS | MOTION | FLUTTER | PLATE | ENGINEERING, MECHANICAL | Aerodynamics | Electric power production | Mechanical engineering | Analysis | Electric power generation | Harvesters | Limit cycle oscillations | Fluid flow | Nonlinearity
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 11/2017, Volume 432, pp. 157 - 168
Journal Article